Example #1
0
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecGuideddiving) /*lint --e{715}*/
{  /*lint --e{715}*/

   SCIP_HEURDATA* heurdata;
   SCIP_DIVESET* diveset;

   assert(heur != NULL);
   assert(strcmp(SCIPheurGetName(heur), HEUR_NAME) == 0);
   assert(scip != NULL);
   assert(result != NULL);
   assert(SCIPhasCurrentNodeLP(scip));

   *result = SCIP_DIDNOTRUN;

  /* don't dive, if no feasible solutions exist */
   if( SCIPgetNSols(scip) == 0 )
      return SCIP_OKAY;

   /* get best solution that should guide the search; if this solution lives in the original variable space,
    * we cannot use it since it might violate the global bounds of the current problem
    */
   if( SCIPsolIsOriginal(SCIPgetBestSol(scip)) )
      return SCIP_OKAY;

   /* get heuristic's data */
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);

   /* if there are no integer variables (note that, e.g., SOS1 variables may be present) */
   if ( SCIPgetNBinVars(scip) + SCIPgetNIntVars(scip) == 0 )
      return SCIP_OKAY;

   assert(SCIPheurGetNDivesets(heur) > 0);
   assert(SCIPheurGetDivesets(heur) != NULL);
   diveset = SCIPheurGetDivesets(heur)[0];
   assert(diveset != NULL);

   /* call generic diving algorithm */
   SCIP_CALL( SCIPperformGenericDivingAlgorithm(scip, diveset, heurdata->sol, heur, result, nodeinfeasible) );

   return SCIP_OKAY;
}
Example #2
0
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecMutation)
{  /*lint --e{715}*/
   SCIP_Longint maxnnodes;
   SCIP_Longint nsubnodes;                   /* node limit for the subproblem                       */

   SCIP_HEURDATA* heurdata;                  /* heuristic's data                                    */
   SCIP* subscip;                            /* the subproblem created by mutation                  */
   SCIP_VAR** vars;                          /* original problem's variables                        */
   SCIP_VAR** subvars;                       /* subproblem's variables                              */
   SCIP_HASHMAP* varmapfw;                   /* mapping of SCIP variables to sub-SCIP variables */

   SCIP_Real cutoff;                         /* objective cutoff for the subproblem                 */
   SCIP_Real maxnnodesr;
   SCIP_Real memorylimit;
   SCIP_Real timelimit;                      /* timelimit for the subproblem                        */
   SCIP_Real upperbound;

   int nvars;                                /* number of original problem's variables              */
   int i;

   SCIP_Bool success;

   SCIP_RETCODE retcode;

   assert( heur != NULL );
   assert( scip != NULL );
   assert( result != NULL );

   /* get heuristic's data */
   heurdata = SCIPheurGetData(heur);
   assert( heurdata != NULL );

   *result = SCIP_DELAYED;

   /* only call heuristic, if feasible solution is available */
   if( SCIPgetNSols(scip) <= 0 )
      return SCIP_OKAY;

   /* only call heuristic, if the best solution comes from transformed problem */
   assert( SCIPgetBestSol(scip) != NULL );
   if( SCIPsolIsOriginal(SCIPgetBestSol(scip)) )
      return SCIP_OKAY;

   /* only call heuristic, if enough nodes were processed since last incumbent */
   if( SCIPgetNNodes(scip) - SCIPgetSolNodenum(scip,SCIPgetBestSol(scip))  < heurdata->nwaitingnodes)
      return SCIP_OKAY;

   *result = SCIP_DIDNOTRUN;

   /* only call heuristic, if discrete variables are present */
   if( SCIPgetNBinVars(scip) == 0 && SCIPgetNIntVars(scip) == 0 )
      return SCIP_OKAY;

   /* calculate the maximal number of branching nodes until heuristic is aborted */
   maxnnodesr = heurdata->nodesquot * SCIPgetNNodes(scip);

   /* reward mutation if it succeeded often, count the setup costs for the sub-MIP as 100 nodes */
   maxnnodesr *= 1.0 + 2.0 * (SCIPheurGetNBestSolsFound(heur)+1.0)/(SCIPheurGetNCalls(heur) + 1.0);
   maxnnodes = (SCIP_Longint) maxnnodesr - 100 * SCIPheurGetNCalls(heur);
   maxnnodes += heurdata->nodesofs;

   /* determine the node limit for the current process */
   nsubnodes = maxnnodes - heurdata->usednodes;
   nsubnodes = MIN(nsubnodes, heurdata->maxnodes);

   /* check whether we have enough nodes left to call subproblem solving */
   if( nsubnodes < heurdata->minnodes )
       return SCIP_OKAY;

   if( SCIPisStopped(scip) )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTFIND;

   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );

   /* initializing the subproblem */
   SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );
   SCIP_CALL( SCIPcreate(&subscip) );

   /* create the variable mapping hash map */
   SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );

   if( heurdata->uselprows )
   {
      char probname[SCIP_MAXSTRLEN];

      /* copy all plugins */
      SCIP_CALL( SCIPincludeDefaultPlugins(subscip) );

      /* get name of the original problem and add the string "_mutationsub" */
      (void) SCIPsnprintf(probname, SCIP_MAXSTRLEN, "%s_mutationsub", SCIPgetProbName(scip));

      /* create the subproblem */
      SCIP_CALL( SCIPcreateProb(subscip, probname, NULL, NULL, NULL, NULL, NULL, NULL, NULL) );

      /* copy all variables */
      SCIP_CALL( SCIPcopyVars(scip, subscip, varmapfw, NULL, TRUE) );
   }
   else
   {
      SCIP_Bool valid;
      valid = FALSE;

      SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "rens", TRUE, FALSE, TRUE, &valid) );

      if( heurdata->copycuts )
      {
         /* copies all active cuts from cutpool of sourcescip to linear constraints in targetscip */
         SCIP_CALL( SCIPcopyCuts(scip, subscip, varmapfw, NULL, TRUE, NULL) );
      }

      SCIPdebugMessage("Copying the SCIP instance was %s complete.\n", valid ? "" : "not ");
   }

   for( i = 0; i < nvars; i++ )
     subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);

   /* free hash map */
   SCIPhashmapFree(&varmapfw);

   /* create a new problem, which fixes variables with same value in bestsol and LP relaxation */
   SCIP_CALL( createSubproblem(scip, subscip, subvars, heurdata->minfixingrate, &heurdata->randseed, heurdata->uselprows) );

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );

  /* check whether there is enough time and memory left */
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );

   /* substract the memory already used by the main SCIP and the estimated memory usage of external software */
   if( !SCIPisInfinity(scip, memorylimit) )
   {
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
      memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
   }

   /* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
   if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
      goto TERMINATE;

   /* set limits for the subproblem */
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nsubnodes) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );

   /* forbid recursive call of heuristics and separators solving subMIPs */
   SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );

   /* disable cutting plane separation */
   SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );

   /* disable expensive presolving */
   SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );

   /* use best estimate node selection */
   if( SCIPfindNodesel(subscip, "estimate") != NULL && !SCIPisParamFixed(subscip, "nodeselection/estimate/stdpriority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/estimate/stdpriority", INT_MAX/4) );
   }

   /* use inference branching */
   if( SCIPfindBranchrule(subscip, "inference") != NULL && !SCIPisParamFixed(subscip, "branching/inference/priority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "branching/inference/priority", INT_MAX/4) );
   }

   /* disable conflict analysis */
   if( !SCIPisParamFixed(subscip, "conflict/useprop") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useprop", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/useinflp") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useinflp", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/useboundlp") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useboundlp", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/usesb") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usesb", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/usepseudo") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usepseudo", FALSE) );
   }

   /* employ a limit on the number of enforcement rounds in the quadratic constraint handlers; this fixes the issue that
    * sometimes the quadratic constraint handler needs hundreds or thousands of enforcement rounds to determine the
    * feasibility status of a single node without fractional branching candidates by separation (namely for uflquad
    * instances); however, the solution status of the sub-SCIP might get corrupted by this; hence no decutions shall be
    * made for the original SCIP
    */
   if( SCIPfindConshdlr(subscip, "quadratic") != NULL && !SCIPisParamFixed(subscip, "constraints/quadratic/enfolplimit") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "constraints/quadratic/enfolplimit", 10) );
   }

   /* add an objective cutoff */
   cutoff = SCIPinfinity(scip);
   assert( !SCIPisInfinity(scip, SCIPgetUpperbound(scip)) );

   upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);
   if( !SCIPisInfinity(scip, -1.0 * SCIPgetLowerbound(scip)) )
   {
      cutoff = (1-heurdata->minimprove) * SCIPgetUpperbound(scip) + heurdata->minimprove * SCIPgetLowerbound(scip);
   }
   else
   {
      if( SCIPgetUpperbound ( scip ) >= 0 )
         cutoff = ( 1 - heurdata->minimprove ) * SCIPgetUpperbound ( scip );
      else
         cutoff = ( 1 + heurdata->minimprove ) * SCIPgetUpperbound ( scip );
   }
   cutoff = MIN(upperbound, cutoff );
   SCIP_CALL( SCIPsetObjlimit(subscip, cutoff) );

   /* solve the subproblem */
   SCIPdebugMessage("Solve Mutation subMIP\n");
   retcode = SCIPsolve(subscip);

   /* Errors in solving the subproblem should not kill the overall solving process
    * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
    */
   if( retcode != SCIP_OKAY )
   {
#ifndef NDEBUG
      SCIP_CALL( retcode );
#endif
      SCIPwarningMessage(scip, "Error while solving subproblem in Mutation heuristic; sub-SCIP terminated with code <%d>\n",retcode);
   }

   heurdata->usednodes += SCIPgetNNodes(subscip);

   /* check, whether a solution was found */
   if( SCIPgetNSols(subscip) > 0 )
   {
      SCIP_SOL** subsols;
      int nsubsols;

      /* check, whether a solution was found;
       * due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
       */
      nsubsols = SCIPgetNSols(subscip);
      subsols = SCIPgetSols(subscip);
      success = FALSE;
      for( i = 0; i < nsubsols && !success; ++i )
      {
         SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &success) );
      }
      if( success )
         *result = SCIP_FOUNDSOL;
   }

 TERMINATE:
   /* free subproblem */
   SCIPfreeBufferArray(scip, &subvars);
   SCIP_CALL( SCIPfree(&subscip) );

   return SCIP_OKAY;
}
Example #3
0
/** main procedure of the zeroobj heuristic, creates and solves a sub-SCIP */
SCIP_RETCODE SCIPapplyZeroobj(
   SCIP*                 scip,               /**< original SCIP data structure                                        */
   SCIP_HEUR*            heur,               /**< heuristic data structure                                            */
   SCIP_RESULT*          result,             /**< result data structure                                               */
   SCIP_Real             minimprove,         /**< factor by which zeroobj should at least improve the incumbent      */
   SCIP_Longint          nnodes              /**< node limit for the subproblem                                       */
   )
{
   SCIP*                 subscip;            /* the subproblem created by zeroobj              */
   SCIP_HASHMAP*         varmapfw;           /* mapping of SCIP variables to sub-SCIP variables */
   SCIP_VAR**            vars;               /* original problem's variables                    */
   SCIP_VAR**            subvars;            /* subproblem's variables                          */
   SCIP_HEURDATA*        heurdata;           /* heuristic's private data structure              */
   SCIP_EVENTHDLR*       eventhdlr;          /* event handler for LP events                     */

   SCIP_Real cutoff;                         /* objective cutoff for the subproblem             */
   SCIP_Real timelimit;                      /* time limit for zeroobj subproblem              */
   SCIP_Real memorylimit;                    /* memory limit for zeroobj subproblem            */
   SCIP_Real large;

   int nvars;                                /* number of original problem's variables          */
   int i;

   SCIP_Bool success;
   SCIP_Bool valid;
   SCIP_RETCODE retcode;
   SCIP_SOL** subsols;
   int nsubsols;

   assert(scip != NULL);
   assert(heur != NULL);
   assert(result != NULL);

   assert(nnodes >= 0);
   assert(0.0 <= minimprove && minimprove <= 1.0);

   *result = SCIP_DIDNOTRUN;

   /* only call heuristic once at the root */
   if( SCIPgetDepth(scip) <= 0 && SCIPheurGetNCalls(heur) > 0 )
      return SCIP_OKAY;

   /* get heuristic data */
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);

   /* only call the heuristic if we do not have an incumbent  */
   if( SCIPgetNSolsFound(scip) > 0 && heurdata->onlywithoutsol )
      return SCIP_OKAY;

   /* check whether there is enough time and memory left */
   timelimit = 0.0;
   memorylimit = 0.0;
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );

   /* substract the memory already used by the main SCIP and the estimated memory usage of external software */
   if( !SCIPisInfinity(scip, memorylimit) )
   {
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
      memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
   }

   /* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
   if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTFIND;

   /* get variable data */
   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );

   /* initialize the subproblem */
   SCIP_CALL( SCIPcreate(&subscip) );

   /* create the variable mapping hash map */
   SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
   SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );

   /* different methods to create sub-problem: either copy LP relaxation or the CIP with all constraints */
   valid = FALSE;

   /* copy complete SCIP instance */
   SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "zeroobj", TRUE, FALSE, TRUE, &valid) );
   SCIPdebugMessage("Copying the SCIP instance was %s complete.\n", valid ? "" : "not ");

   /* create event handler for LP events */
   eventhdlr = NULL;
   SCIP_CALL( SCIPincludeEventhdlrBasic(subscip, &eventhdlr, EVENTHDLR_NAME, EVENTHDLR_DESC, eventExecZeroobj, NULL) );
   if( eventhdlr == NULL )
   {
      SCIPerrorMessage("event handler for "HEUR_NAME" heuristic not found.\n");
      return SCIP_PLUGINNOTFOUND;
   }

   /* determine large value to set variables to */
   large = SCIPinfinity(scip);
   if( !SCIPisInfinity(scip, 0.1 / SCIPfeastol(scip)) )
      large = 0.1 / SCIPfeastol(scip);

   /* get variable image and change to 0.0 in sub-SCIP */
   for( i = 0; i < nvars; i++ )
   {
      SCIP_Real adjustedbound;
      SCIP_Real lb;
      SCIP_Real ub;
      SCIP_Real inf;
      
      subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);
      SCIP_CALL( SCIPchgVarObj(subscip, subvars[i], 0.0) );

      lb = SCIPvarGetLbGlobal(subvars[i]);
      ub = SCIPvarGetUbGlobal(subvars[i]);
      inf = SCIPinfinity(subscip);

      /* adjust infinite bounds in order to avoid that variables with non-zero objective 
       * get fixed to infinite value in zeroobj subproblem
       */
      if( SCIPisInfinity(subscip, ub ) )
      {
         adjustedbound = MAX(large, lb+large);
         adjustedbound = MIN(adjustedbound, inf);
         SCIP_CALL( SCIPchgVarUbGlobal(subscip, subvars[i], adjustedbound) );
      }
      if( SCIPisInfinity(subscip, -lb ) )
      {
         adjustedbound = MIN(-large, ub-large);
         adjustedbound = MAX(adjustedbound, -inf);
         SCIP_CALL( SCIPchgVarLbGlobal(subscip, subvars[i], adjustedbound) );
      }
   }

   /* free hash map */
   SCIPhashmapFree(&varmapfw);

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );

   /* set limits for the subproblem */
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nnodes) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );
   SCIP_CALL( SCIPsetIntParam(subscip, "limits/solutions", 1) );

   /* forbid recursive call of heuristics and separators solving sub-SCIPs */
   SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );

   /* disable expensive techniques that merely work on the dual bound */

   /* disable cutting plane separation */
   SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );

   /* disable expensive presolving */
   SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );
   if( !SCIPisParamFixed(subscip, "presolving/maxrounds") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "presolving/maxrounds", 50) );
   }

   /* use best dfs node selection */
   if( SCIPfindNodesel(subscip, "dfs") != NULL && !SCIPisParamFixed(subscip, "nodeselection/dfs/stdpriority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/dfs/stdpriority", INT_MAX/4) );
   }

   /* use inference branching */
   if( SCIPfindBranchrule(subscip, "inference") != NULL && !SCIPisParamFixed(subscip, "branching/inference/priority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "branching/leastinf/priority", INT_MAX/4) );
   }

   /* employ a limit on the number of enforcement rounds in the quadratic constraint handler; this fixes the issue that
    * sometimes the quadratic constraint handler needs hundreds or thousands of enforcement rounds to determine the
    * feasibility status of a single node without fractional branching candidates by separation (namely for uflquad
    * instances); however, the solution status of the sub-SCIP might get corrupted by this; hence no deductions shall be
    * made for the original SCIP
    */
   if( SCIPfindConshdlr(subscip, "quadratic") != NULL && !SCIPisParamFixed(subscip, "constraints/quadratic/enfolplimit") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "constraints/quadratic/enfolplimit", 10) );
   }

   /* disable feaspump and fracdiving */
   if( !SCIPisParamFixed(subscip, "heuristics/feaspump/freq") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "heuristics/feaspump/freq", -1) );
   }
   if( !SCIPisParamFixed(subscip, "heuristics/fracdiving/freq") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "heuristics/fracdiving/freq", -1) );
   }

   /* restrict LP iterations */
   SCIP_CALL( SCIPsetLongintParam(subscip, "lp/iterlim", 2*heurdata->maxlpiters / MAX(1,nnodes)) );
   SCIP_CALL( SCIPsetLongintParam(subscip, "lp/rootiterlim", heurdata->maxlpiters) );

#ifdef SCIP_DEBUG
   /* for debugging zeroobj, enable MIP output */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 5) );
   SCIP_CALL( SCIPsetIntParam(subscip, "display/freq", 100000000) );
#endif

   /* if there is already a solution, add an objective cutoff */
   if( SCIPgetNSols(scip) > 0 )
   {
      SCIP_Real upperbound;
      SCIP_CONS* origobjcons;
#ifndef NDEBUG
      int nobjvars;
      nobjvars = 0;
#endif

      cutoff = SCIPinfinity(scip);
      assert( !SCIPisInfinity(scip,SCIPgetUpperbound(scip)) );

      upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);

      if( !SCIPisInfinity(scip,-1.0*SCIPgetLowerbound(scip)) )
      {
         cutoff = (1-minimprove)*SCIPgetUpperbound(scip) + minimprove*SCIPgetLowerbound(scip);
      }
      else
      {
         if( SCIPgetUpperbound(scip) >= 0 )
            cutoff = ( 1 - minimprove ) * SCIPgetUpperbound ( scip );
         else
            cutoff = ( 1 + minimprove ) * SCIPgetUpperbound ( scip );
      }
      cutoff = MIN(upperbound, cutoff);

      SCIP_CALL( SCIPcreateConsLinear(subscip, &origobjcons, "objbound_of_origscip", 0, NULL, NULL, -SCIPinfinity(subscip), cutoff,
            TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE) );
      for( i = 0; i < nvars; ++i)
      {
         if( !SCIPisFeasZero(subscip, SCIPvarGetObj(vars[i])) )
         {
            SCIP_CALL( SCIPaddCoefLinear(subscip, origobjcons, subvars[i], SCIPvarGetObj(vars[i])) );
#ifndef NDEBUG
            nobjvars++;
#endif
         }
      }
      SCIP_CALL( SCIPaddCons(subscip, origobjcons) );
      SCIP_CALL( SCIPreleaseCons(subscip, &origobjcons) );
      assert(nobjvars == SCIPgetNObjVars(scip));
   }

   /* catch LP events of sub-SCIP */
   SCIP_CALL( SCIPtransformProb(subscip) );
   SCIP_CALL( SCIPcatchEvent(subscip, SCIP_EVENTTYPE_NODESOLVED, eventhdlr, (SCIP_EVENTDATA*) heurdata, NULL) );

   SCIPdebugMessage("solving subproblem: nnodes=%"SCIP_LONGINT_FORMAT"\n", nnodes);
   retcode = SCIPsolve(subscip);

   /* drop LP events of sub-SCIP */
   SCIP_CALL( SCIPdropEvent(subscip, SCIP_EVENTTYPE_NODESOLVED, eventhdlr, (SCIP_EVENTDATA*) heurdata, -1) );

   /* errors in solving the subproblem should not kill the overall solving process;
    * hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
    */
   if( retcode != SCIP_OKAY )
   {
#ifndef NDEBUG
      SCIP_CALL( retcode );
#endif
      SCIPwarningMessage(scip, "Error while solving subproblem in zeroobj heuristic; sub-SCIP terminated with code <%d>\n",retcode);
   }

   /* check, whether a solution was found;
    * due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
    */
   nsubsols = SCIPgetNSols(subscip);
   subsols = SCIPgetSols(subscip);
   success = FALSE;
   for( i = 0; i < nsubsols && (!success || heurdata->addallsols); ++i )
   {
      SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &success) );
      if( success )
         *result = SCIP_FOUNDSOL;
   }

#ifdef SCIP_DEBUG
   SCIP_CALL( SCIPprintStatistics(subscip, NULL) );
#endif

   /* free subproblem */
   SCIPfreeBufferArray(scip, &subvars);
   SCIP_CALL( SCIPfree(&subscip) );

   return SCIP_OKAY;
}
Example #4
0
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecGuideddiving) /*lint --e{715}*/
{  /*lint --e{715}*/
   SCIP_HEURDATA* heurdata;
   SCIP_LPSOLSTAT lpsolstat;
   SCIP_SOL* bestsol;
   SCIP_VAR* var;
   SCIP_VAR** lpcands;
   SCIP_Real* lpcandssol;
   SCIP_Real* lpcandsfrac;
   SCIP_Real searchubbound;
   SCIP_Real searchavgbound;
   SCIP_Real searchbound;
   SCIP_Real objval;
   SCIP_Real oldobjval;
   SCIP_Real obj;
   SCIP_Real objgain;
   SCIP_Real bestobjgain;
   SCIP_Real frac;
   SCIP_Real bestfrac;
   SCIP_Real solval;
   SCIP_Real bestsolval;
   SCIP_Bool bestcandmayrounddown;
   SCIP_Bool bestcandmayroundup;
   SCIP_Bool bestcandroundup;
   SCIP_Bool mayrounddown;
   SCIP_Bool mayroundup;
   SCIP_Bool roundup;
   SCIP_Bool lperror;
   SCIP_Bool cutoff;
   SCIP_Bool backtracked;
   SCIP_Longint ncalls;
   SCIP_Longint nsolsfound;
   SCIP_Longint nlpiterations;
   SCIP_Longint maxnlpiterations;
   int nlpcands;
   int startnlpcands;
   int depth;
   int maxdepth;
   int maxdivedepth;
   int divedepth;
   int bestcand;
   int c;

   assert(heur != NULL);
   assert(strcmp(SCIPheurGetName(heur), HEUR_NAME) == 0);
   assert(scip != NULL);
   assert(result != NULL);
   assert(SCIPhasCurrentNodeLP(scip));

   *result = SCIP_DELAYED;

   /* do not call heuristic of node was already detected to be infeasible */
   if( nodeinfeasible )
      return SCIP_OKAY;

   /* only call heuristic, if an optimal LP solution is at hand */
   if( SCIPgetLPSolstat(scip) != SCIP_LPSOLSTAT_OPTIMAL )
      return SCIP_OKAY;

   /* only call heuristic, if the LP objective value is smaller than the cutoff bound */
   if( SCIPisGE(scip, SCIPgetLPObjval(scip), SCIPgetCutoffbound(scip)) )
      return SCIP_OKAY;

   /* only call heuristic, if the LP solution is basic (which allows fast resolve in diving) */
   if( !SCIPisLPSolBasic(scip) )
      return SCIP_OKAY;

   /* don't dive two times at the same node */
   if( SCIPgetLastDivenode(scip) == SCIPgetNNodes(scip) && SCIPgetDepth(scip) > 0 )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTRUN;

  /* don't dive, if no feasible solutions exist */
   if( SCIPgetNSols(scip) == 0 )
      return SCIP_OKAY;

   /* get heuristic's data */
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);

   /* only try to dive, if we are in the correct part of the tree, given by minreldepth and maxreldepth */
   depth = SCIPgetDepth(scip);
   maxdepth = SCIPgetMaxDepth(scip);
   maxdepth = MAX(maxdepth, 30);
   if( depth < heurdata->minreldepth*maxdepth || depth > heurdata->maxreldepth*maxdepth )
      return SCIP_OKAY;

   /* calculate the maximal number of LP iterations until heuristic is aborted */
   nlpiterations = SCIPgetNNodeLPIterations(scip);
   ncalls = SCIPheurGetNCalls(heur);
   nsolsfound = 10*SCIPheurGetNBestSolsFound(heur) + heurdata->nsuccess;
   maxnlpiterations = (SCIP_Longint)((1.0 + 10.0*(nsolsfound+1.0)/(ncalls+1.0)) * heurdata->maxlpiterquot * nlpiterations);
   maxnlpiterations += heurdata->maxlpiterofs;

   /* don't try to dive, if we took too many LP iterations during diving */
   if( heurdata->nlpiterations >= maxnlpiterations )
      return SCIP_OKAY;

   /* allow at least a certain number of LP iterations in this dive */
   maxnlpiterations = MAX(maxnlpiterations, heurdata->nlpiterations + MINLPITER);

   /* get fractional variables that should be integral */
   SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, &lpcandsfrac, &nlpcands, NULL, NULL) );

   /* don't try to dive, if there are no fractional variables */
   if( nlpcands == 0 )
      return SCIP_OKAY;

   /* calculate the objective search bound */
   if( heurdata->maxdiveubquot > 0.0 )
      searchubbound = SCIPgetLowerbound(scip)
         + heurdata->maxdiveubquot * (SCIPgetCutoffbound(scip) - SCIPgetLowerbound(scip));
   else
      searchubbound = SCIPinfinity(scip);
   if( heurdata->maxdiveavgquot > 0.0 )
      searchavgbound = SCIPgetLowerbound(scip)
         + heurdata->maxdiveavgquot * (SCIPgetAvgLowerbound(scip) - SCIPgetLowerbound(scip));
   else
      searchavgbound = SCIPinfinity(scip);
   searchbound = MIN(searchubbound, searchavgbound);
   if( SCIPisObjIntegral(scip) )
      searchbound = SCIPceil(scip, searchbound);

   /* calculate the maximal diving depth: 10 * min{number of integer variables, max depth} */
   maxdivedepth = SCIPgetNBinVars(scip) + SCIPgetNIntVars(scip);
   maxdivedepth = MIN(maxdivedepth, maxdepth);
   maxdivedepth *= 10;

   /* get best solution that should guide the search; if this solution lives in the original variable space,
    * we cannot use it since it might violate the global bounds of the current problem
    */
   if( SCIPsolIsOriginal(SCIPgetBestSol(scip)) )
      return SCIP_OKAY;

   /* store a copy of the best solution */
   SCIP_CALL( SCIPcreateSolCopy(scip, &bestsol, SCIPgetBestSol(scip)) );

   *result = SCIP_DIDNOTFIND;

   /* start diving */
   SCIP_CALL( SCIPstartProbing(scip) );

   /* enables collection of variable statistics during probing */
   SCIPenableVarHistory(scip);

   /* get LP objective value */
   lpsolstat = SCIP_LPSOLSTAT_OPTIMAL;
   objval = SCIPgetLPObjval(scip);

   SCIPdebugMessage("(node %"SCIP_LONGINT_FORMAT") executing guideddiving heuristic: depth=%d, %d fractionals, dualbound=%g, searchbound=%g\n",
      SCIPgetNNodes(scip), SCIPgetDepth(scip), nlpcands, SCIPgetDualbound(scip), SCIPretransformObj(scip, searchbound));

   /* dive as long we are in the given objective, depth and iteration limits and fractional variables exist, but
    * - if possible, we dive at least with the depth 10
    * - if the number of fractional variables decreased at least with 1 variable per 2 dive depths, we continue diving
    */
   lperror = FALSE;
   cutoff = FALSE;
   divedepth = 0;
   bestcandmayrounddown = FALSE;
   bestcandmayroundup = FALSE;
   startnlpcands = nlpcands;
   while( !lperror && !cutoff && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL && nlpcands > 0
      && (divedepth < 10
         || nlpcands <= startnlpcands - divedepth/2
         || (divedepth < maxdivedepth && heurdata->nlpiterations < maxnlpiterations && objval < searchbound))
      && !SCIPisStopped(scip) )
   {
      SCIP_CALL( SCIPnewProbingNode(scip) );
      divedepth++;

      /* choose variable fixing:
       * - prefer variables that may not be rounded without destroying LP feasibility:
       *   - of these variables, round a variable to its value in direction of incumbent solution, and choose the
       *     variable that is closest to its rounded value
       * - if all remaining fractional variables may be rounded without destroying LP feasibility:
       *   - round variable in direction that destroys LP feasibility (other direction is checked by SCIProundSol())
       *   - round variable with least increasing objective value
       */
      bestcand = -1;
      bestobjgain = SCIPinfinity(scip);
      bestfrac = SCIP_INVALID;
      bestcandmayrounddown = TRUE;
      bestcandmayroundup = TRUE;
      bestcandroundup = FALSE;
      for( c = 0; c < nlpcands; ++c )
      {
         var = lpcands[c];
         mayrounddown = SCIPvarMayRoundDown(var);
         mayroundup = SCIPvarMayRoundUp(var);
         solval = lpcandssol[c];
         frac = lpcandsfrac[c];
         obj = SCIPvarGetObj(var);
         bestsolval = SCIPgetSolVal(scip, bestsol, var);

         /* select default rounding direction */
         roundup = (solval < bestsolval);

         if( mayrounddown || mayroundup )
         {
            /* the candidate may be rounded: choose this candidate only, if the best candidate may also be rounded */
            if( bestcandmayrounddown || bestcandmayroundup )
            {
               /* choose rounding direction:
                * - if variable may be rounded in both directions, round corresponding to its value in incumbent solution
                * - otherwise, round in the infeasible direction, because feasible direction is tried by rounding
                *   the current fractional solution with SCIProundSol()
                */
               if( !mayrounddown || !mayroundup )
                  roundup = mayrounddown;

               if( roundup )
               {
                  frac = 1.0 - frac;
                  objgain = frac*obj;
               }
               else
                  objgain = -frac*obj;

               /* penalize too small fractions */
               if( frac < 0.01 )
                  objgain *= 1000.0;

               /* prefer decisions on binary variables */
               if( !SCIPvarIsBinary(var) )
                  objgain *= 1000.0;

               /* check, if candidate is new best candidate */
               if( SCIPisLT(scip, objgain, bestobjgain) || (SCIPisEQ(scip, objgain, bestobjgain) && frac < bestfrac) )
               {
                  bestcand = c;
                  bestobjgain = objgain;
                  bestfrac = frac;
                  bestcandmayrounddown = mayrounddown;
                  bestcandmayroundup = mayroundup;
                  bestcandroundup = roundup;
               }
            }
         }
         else
         {
            /* the candidate may not be rounded */
            if( roundup )
               frac = 1.0 - frac;

            /* penalize too small fractions */
            if( frac < 0.01 )
               frac += 10.0;

            /* prefer decisions on binary variables */
            if( !SCIPvarIsBinary(var) )
               frac *= 1000.0;

            /* check, if candidate is new best candidate: prefer unroundable candidates in any case */
            if( bestcandmayrounddown || bestcandmayroundup || frac < bestfrac )
            {
               bestcand = c;
               bestfrac = frac;
               bestcandmayrounddown = FALSE;
               bestcandmayroundup = FALSE;
               bestcandroundup = roundup;
            }
         }
      }
      assert(bestcand != -1);

      /* if all candidates are roundable, try to round the solution */
      if( bestcandmayrounddown || bestcandmayroundup )
      {
         SCIP_Bool success;

         /* create solution from diving LP and try to round it */
         SCIP_CALL( SCIPlinkLPSol(scip, heurdata->sol) );
         SCIP_CALL( SCIProundSol(scip, heurdata->sol, &success) );

         if( success )
         {
            SCIPdebugMessage("guideddiving found roundable primal solution: obj=%g\n", SCIPgetSolOrigObj(scip, heurdata->sol));

            /* try to add solution to SCIP */
            SCIP_CALL( SCIPtrySol(scip, heurdata->sol, FALSE, FALSE, FALSE, FALSE, &success) );

            /* check, if solution was feasible and good enough */
            if( success )
            {
               SCIPdebugMessage(" -> solution was feasible and good enough\n");
               *result = SCIP_FOUNDSOL;
            }
         }
      }

      var = lpcands[bestcand];

      backtracked = FALSE;
      do
      {
         /* if the variable is already fixed or if the solution value is outside the domain, numerical troubles may have
          * occured or variable was fixed by propagation while backtracking => Abort diving!
          */
         if( SCIPvarGetLbLocal(var) >= SCIPvarGetUbLocal(var) - 0.5 )
         {
            SCIPdebugMessage("Selected variable <%s> already fixed to [%g,%g] (solval: %.9f), diving aborted \n",
               SCIPvarGetName(var), SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var), lpcandssol[bestcand]);
            cutoff = TRUE;
            break;
         }
         if( SCIPisFeasLT(scip, lpcandssol[bestcand], SCIPvarGetLbLocal(var)) || SCIPisFeasGT(scip, lpcandssol[bestcand], SCIPvarGetUbLocal(var)) )
         {
            SCIPdebugMessage("selected variable's <%s> solution value is outside the domain [%g,%g] (solval: %.9f), diving aborted\n",
               SCIPvarGetName(var), SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var), lpcandssol[bestcand]);
            assert(backtracked);
            break;
         }

         /* apply rounding of best candidate */
         if( bestcandroundup == !backtracked )
         {
            /* round variable up */
            SCIPdebugMessage("  dive %d/%d, LP iter %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT": var <%s>, round=%u/%u, sol=%g, bestsol=%g, oldbounds=[%g,%g], newbounds=[%g,%g]\n",
               divedepth, maxdivedepth, heurdata->nlpiterations, maxnlpiterations,
               SCIPvarGetName(var), bestcandmayrounddown, bestcandmayroundup,
               lpcandssol[bestcand], SCIPgetSolVal(scip, bestsol, var),
               SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var),
               SCIPfeasCeil(scip, lpcandssol[bestcand]), SCIPvarGetUbLocal(var));
            SCIP_CALL( SCIPchgVarLbProbing(scip, var, SCIPfeasCeil(scip, lpcandssol[bestcand])) );
         }
         else
         {
            /* round variable down */
            SCIPdebugMessage("  dive %d/%d, LP iter %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT": var <%s>, round=%u/%u, sol=%g, bestsol=%g, oldbounds=[%g,%g], newbounds=[%g,%g]\n",
               divedepth, maxdivedepth, heurdata->nlpiterations, maxnlpiterations,
               SCIPvarGetName(var), bestcandmayrounddown, bestcandmayroundup,
               lpcandssol[bestcand], SCIPgetSolVal(scip, bestsol, var),
               SCIPvarGetLbLocal(var), SCIPvarGetUbLocal(var),
               SCIPvarGetLbLocal(var), SCIPfeasFloor(scip, lpcandssol[bestcand]));
            SCIP_CALL( SCIPchgVarUbProbing(scip, var, SCIPfeasFloor(scip, lpcandssol[bestcand])) );
         }

         /* apply domain propagation */
         SCIP_CALL( SCIPpropagateProbing(scip, 0, &cutoff, NULL) );
         if( !cutoff )
         {
           /* resolve the diving LP */
            /* Errors in the LP solver should not kill the overall solving process, if the LP is just needed for a heuristic.
             * Hence in optimized mode, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
             */
#ifdef NDEBUG
            SCIP_RETCODE retstat;
            nlpiterations = SCIPgetNLPIterations(scip);
            retstat = SCIPsolveProbingLP(scip, MAX((int)(maxnlpiterations - heurdata->nlpiterations), MINLPITER), &lperror, &cutoff);
            if( retstat != SCIP_OKAY )
            {
               SCIPwarningMessage(scip, "Error while solving LP in Guideddiving heuristic; LP solve terminated with code <%d>\n",retstat);
            }
#else
            nlpiterations = SCIPgetNLPIterations(scip);
            SCIP_CALL( SCIPsolveProbingLP(scip, MAX((int)(maxnlpiterations - heurdata->nlpiterations), MINLPITER), &lperror, &cutoff) );
#endif

            if( lperror )
               break;

            /* update iteration count */
            heurdata->nlpiterations += SCIPgetNLPIterations(scip) - nlpiterations;

            /* get LP solution status, objective value, and fractional variables, that should be integral */
            lpsolstat = SCIPgetLPSolstat(scip);
            assert(cutoff || (lpsolstat != SCIP_LPSOLSTAT_OBJLIMIT && lpsolstat != SCIP_LPSOLSTAT_INFEASIBLE &&
                  (lpsolstat != SCIP_LPSOLSTAT_OPTIMAL || SCIPisLT(scip, SCIPgetLPObjval(scip), SCIPgetCutoffbound(scip)))));
         }

         /* perform backtracking if a cutoff was detected */
         if( cutoff && !backtracked && heurdata->backtrack )
         {
            SCIPdebugMessage("  *** cutoff detected at level %d - backtracking\n", SCIPgetProbingDepth(scip));
            SCIP_CALL( SCIPbacktrackProbing(scip, SCIPgetProbingDepth(scip)-1) );
            SCIP_CALL( SCIPnewProbingNode(scip) );
            backtracked = TRUE;
         }
         else
            backtracked = FALSE;
      }
      while( backtracked );

      if( !lperror && !cutoff && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL )
      {
         /* get new objective value */
         oldobjval = objval;
         objval = SCIPgetLPObjval(scip);

         /* update pseudo cost values */
         if( SCIPisGT(scip, objval, oldobjval) )
         {
            if( bestcandroundup )
            {
               SCIP_CALL( SCIPupdateVarPseudocost(scip, lpcands[bestcand], 1.0-lpcandsfrac[bestcand],
                     objval - oldobjval, 1.0) );
            }
            else
            {
               SCIP_CALL( SCIPupdateVarPseudocost(scip, lpcands[bestcand], 0.0-lpcandsfrac[bestcand],
                     objval - oldobjval, 1.0) );
            }
         }

         /* get new fractional variables */
         SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, &lpcandsfrac, &nlpcands, NULL, NULL) );
      }
      SCIPdebugMessage("   -> lpsolstat=%d, objval=%g, nfrac=%d\n", lpsolstat, objval, nlpcands);
   }

   /* check if a solution has been found */
   if( nlpcands == 0 && !lperror && !cutoff && lpsolstat == SCIP_LPSOLSTAT_OPTIMAL )
   {
      SCIP_Bool success;

      /* create solution from diving LP */
      SCIP_CALL( SCIPlinkLPSol(scip, heurdata->sol) );
      SCIPdebugMessage("guideddiving found primal solution: obj=%g\n", SCIPgetSolOrigObj(scip, heurdata->sol));

      /* try to add solution to SCIP */
      SCIP_CALL( SCIPtrySol(scip, heurdata->sol, FALSE, FALSE, FALSE, FALSE, &success) );

      /* check, if solution was feasible and good enough */
      if( success )
      {
         SCIPdebugMessage(" -> solution was feasible and good enough\n");
         *result = SCIP_FOUNDSOL;
      }
   }

   /* end diving */
   SCIP_CALL( SCIPendProbing(scip) );

   /* free copied best solution */
   SCIP_CALL( SCIPfreeSol(scip, &bestsol) );

   if( *result == SCIP_FOUNDSOL )
      heurdata->nsuccess++;

   SCIPdebugMessage("guideddiving heuristic finished\n");

   return SCIP_OKAY;
}
Example #5
0
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecOneopt)
{  /*lint --e{715}*/

   SCIP_HEURDATA* heurdata;
   SCIP_SOL* bestsol;                        /* incumbent solution */
   SCIP_SOL* worksol;                        /* heuristic's working solution */
   SCIP_VAR** vars;                          /* SCIP variables                */
   SCIP_VAR** shiftcands;                    /* shiftable variables           */
   SCIP_ROW** lprows;                        /* SCIP LP rows                  */
   SCIP_Real* activities;                    /* row activities for working solution */
   SCIP_Real* shiftvals;

   SCIP_Real lb;
   SCIP_Real ub;
   SCIP_Bool localrows;
   SCIP_Bool valid;
   int nchgbound;
   int nbinvars;
   int nintvars;
   int nvars;
   int nlprows;
   int i;
   int nshiftcands;
   int shiftcandssize;
   SCIP_RETCODE retcode;

   assert(heur != NULL);
   assert(scip != NULL);
   assert(result != NULL);

   /* get heuristic's data */
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);

   *result = SCIP_DELAYED;

   /* we only want to process each solution once */
   bestsol = SCIPgetBestSol(scip);
   if( bestsol == NULL || heurdata->lastsolindex == SCIPsolGetIndex(bestsol) )
      return SCIP_OKAY;

   /* reset the timing mask to its default value (at the root node it could be different) */
   if( SCIPgetNNodes(scip) > 1 )
      SCIPheurSetTimingmask(heur, HEUR_TIMING);

   /* get problem variables */
   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
   nintvars += nbinvars;

   /* do not run if there are no discrete variables */
   if( nintvars == 0 )
   {
      *result = SCIP_DIDNOTRUN;
      return SCIP_OKAY;
   }

   if( heurtiming == SCIP_HEURTIMING_BEFOREPRESOL )
   {
      SCIP*                 subscip;            /* the subproblem created by zeroobj              */
      SCIP_HASHMAP*         varmapfw;           /* mapping of SCIP variables to sub-SCIP variables */
      SCIP_VAR**            subvars;            /* subproblem's variables                          */
      SCIP_Real* subsolvals;                    /* solution values of the subproblem               */

      SCIP_Real timelimit;                      /* time limit for zeroobj subproblem              */
      SCIP_Real memorylimit;                    /* memory limit for zeroobj subproblem            */

      SCIP_SOL* startsol;
      SCIP_SOL** subsols;
      int nsubsols;

      if( !heurdata->beforepresol )
         return SCIP_OKAY;

      /* check whether there is enough time and memory left */
      timelimit = 0.0;
      memorylimit = 0.0;
      SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
      if( !SCIPisInfinity(scip, timelimit) )
         timelimit -= SCIPgetSolvingTime(scip);
      SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );

      /* substract the memory already used by the main SCIP and the estimated memory usage of external software */
      if( !SCIPisInfinity(scip, memorylimit) )
      {
         memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
         memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
      }

      /* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
      if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
         return SCIP_OKAY;

      /* initialize the subproblem */
      SCIP_CALL( SCIPcreate(&subscip) );

      /* create the variable mapping hash map */
      SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
      SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );

      /* copy complete SCIP instance */
      valid = FALSE;
      SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "oneopt", TRUE, FALSE, TRUE, &valid) );
      SCIP_CALL( SCIPtransformProb(subscip) );

      /* get variable image */
      for( i = 0; i < nvars; i++ )
         subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);

      /* copy the solution */
      SCIP_CALL( SCIPallocBufferArray(scip, &subsolvals, nvars) );
      SCIP_CALL( SCIPgetSolVals(scip, bestsol, nvars, vars, subsolvals) );

      /* create start solution for the subproblem */
      SCIP_CALL( SCIPcreateOrigSol(subscip, &startsol, NULL) );
      SCIP_CALL( SCIPsetSolVals(subscip, startsol, nvars, subvars, subsolvals) );

      /* try to add new solution to sub-SCIP and free it immediately */
      valid = FALSE;
      SCIP_CALL( SCIPtrySolFree(subscip, &startsol, FALSE, FALSE, FALSE, FALSE, &valid) );
      SCIPfreeBufferArray(scip, &subsolvals);
      SCIPhashmapFree(&varmapfw);

      /* disable statistic timing inside sub SCIP */
      SCIP_CALL( SCIPsetBoolParam(subscip, "timing/statistictiming", FALSE) );

      /* deactivate basically everything except oneopt in the sub-SCIP */
      SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
      SCIP_CALL( SCIPsetHeuristics(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
      SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );
      SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", 1LL) );
      SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
      SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );
      SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );
      SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );

      /* if necessary, some of the parameters have to be unfixed first */
      if( SCIPisParamFixed(subscip, "lp/solvefreq") )
      {
         SCIPwarningMessage(scip, "unfixing parameter lp/solvefreq in subscip of oneopt heuristic\n");
         SCIP_CALL( SCIPunfixParam(subscip, "lp/solvefreq") );
      }
      SCIP_CALL( SCIPsetIntParam(subscip, "lp/solvefreq", -1) );

      if( SCIPisParamFixed(subscip, "heuristics/oneopt/freq") )
      {
         SCIPwarningMessage(scip, "unfixing parameter heuristics/oneopt/freq in subscip of oneopt heuristic\n");
         SCIP_CALL( SCIPunfixParam(subscip, "heuristics/oneopt/freq") );
      }
      SCIP_CALL( SCIPsetIntParam(subscip, "heuristics/oneopt/freq", 1) );

      if( SCIPisParamFixed(subscip, "heuristics/oneopt/forcelpconstruction") )
      {
         SCIPwarningMessage(scip, "unfixing parameter heuristics/oneopt/forcelpconstruction in subscip of oneopt heuristic\n");
         SCIP_CALL( SCIPunfixParam(subscip, "heuristics/oneopt/forcelpconstruction") );
      }
      SCIP_CALL( SCIPsetBoolParam(subscip, "heuristics/oneopt/forcelpconstruction", TRUE) );

      /* avoid recursive call, which would lead to an endless loop */
      if( SCIPisParamFixed(subscip, "heuristics/oneopt/beforepresol") )
      {
         SCIPwarningMessage(scip, "unfixing parameter heuristics/oneopt/beforepresol in subscip of oneopt heuristic\n");
         SCIP_CALL( SCIPunfixParam(subscip, "heuristics/oneopt/beforepresol") );
      }
      SCIP_CALL( SCIPsetBoolParam(subscip, "heuristics/oneopt/beforepresol", FALSE) );

      if( valid )
      {
         retcode = SCIPsolve(subscip);

         /* errors in solving the subproblem should not kill the overall solving process;
          * hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
          */
         if( retcode != SCIP_OKAY )
         {
#ifndef NDEBUG
            SCIP_CALL( retcode );
#endif
            SCIPwarningMessage(scip, "Error while solving subproblem in zeroobj heuristic; sub-SCIP terminated with code <%d>\n",retcode);
         }

#ifdef SCIP_DEBUG
         SCIP_CALL( SCIPprintStatistics(subscip, NULL) );
#endif
      }

      /* check, whether a solution was found;
       * due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
       */
      nsubsols = SCIPgetNSols(subscip);
      subsols = SCIPgetSols(subscip);
      valid = FALSE;
      for( i = 0; i < nsubsols && !valid; ++i )
      {
         SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &valid) );
         if( valid )
            *result = SCIP_FOUNDSOL;
      }

      /* free subproblem */
      SCIPfreeBufferArray(scip, &subvars);
      SCIP_CALL( SCIPfree(&subscip) );

      return SCIP_OKAY;
   }

   /* we can only work on solutions valid in the transformed space */
   if( SCIPsolIsOriginal(bestsol) )
      return SCIP_OKAY;

   if( heurtiming == SCIP_HEURTIMING_BEFORENODE && (SCIPhasCurrentNodeLP(scip) || heurdata->forcelpconstruction) )
   {
      SCIP_Bool cutoff;
      cutoff = FALSE;
      SCIP_CALL( SCIPconstructLP(scip, &cutoff) );
      SCIP_CALL( SCIPflushLP(scip) );

      /* get problem variables again, SCIPconstructLP() might have added new variables */
      SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
      nintvars += nbinvars;
   }

   /* we need an LP */
   if( SCIPgetNLPRows(scip) == 0 )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTFIND;

   nchgbound = 0;

   /* initialize data */
   nshiftcands = 0;
   shiftcandssize = 8;
   heurdata->lastsolindex = SCIPsolGetIndex(bestsol);
   SCIP_CALL( SCIPcreateSolCopy(scip, &worksol, bestsol) );
   SCIPsolSetHeur(worksol,heur);

   SCIPdebugMessage("Starting bound adjustment in 1-opt heuristic\n");

   /* maybe change solution values due to global bound changes first */
   for( i = nvars - 1; i >= 0; --i )
   {
      SCIP_VAR* var;
      SCIP_Real solval;

      var = vars[i];
      lb = SCIPvarGetLbGlobal(var);
      ub = SCIPvarGetUbGlobal(var);

      solval = SCIPgetSolVal(scip, bestsol,var);
      /* old solution value is smaller than the actual lower bound */
      if( SCIPisFeasLT(scip, solval, lb) )
      {
         /* set the solution value to the global lower bound */
         SCIP_CALL( SCIPsetSolVal(scip, worksol, var, lb) );
         ++nchgbound;
         SCIPdebugMessage("var <%s> type %d, old solval %g now fixed to lb %g\n", SCIPvarGetName(var), SCIPvarGetType(var), solval, lb);
      }
      /* old solution value is greater than the actual upper bound */
      else if( SCIPisFeasGT(scip, solval, SCIPvarGetUbGlobal(var)) )
      {
         /* set the solution value to the global upper bound */
         SCIP_CALL( SCIPsetSolVal(scip, worksol, var, ub) );
         ++nchgbound;
         SCIPdebugMessage("var <%s> type %d, old solval %g now fixed to ub %g\n", SCIPvarGetName(var), SCIPvarGetType(var), solval, ub);
      }
   }

   SCIPdebugMessage("number of bound changes (due to global bounds) = %d\n", nchgbound);
   SCIP_CALL( SCIPgetLPRowsData(scip, &lprows, &nlprows) );
   SCIP_CALL( SCIPallocBufferArray(scip, &activities, nlprows) );

   localrows = FALSE;
   valid = TRUE;

   /* initialize activities */
   for( i = 0; i < nlprows; ++i )
   {
      SCIP_ROW* row;

      row = lprows[i];
      assert(SCIProwGetLPPos(row) == i);

      if( !SCIProwIsLocal(row) )
      {
         activities[i] = SCIPgetRowSolActivity(scip, row, worksol);
         SCIPdebugMessage("Row <%s> has activity %g\n", SCIProwGetName(row), activities[i]);
         if( SCIPisFeasLT(scip, activities[i], SCIProwGetLhs(row)) || SCIPisFeasGT(scip, activities[i], SCIProwGetRhs(row)) )
         {
            valid = FALSE;
            SCIPdebug( SCIP_CALL( SCIPprintRow(scip, row, NULL) ) );
            SCIPdebugMessage("row <%s> activity %g violates bounds, lhs = %g, rhs = %g\n", SCIProwGetName(row), activities[i], SCIProwGetLhs(row), SCIProwGetRhs(row));
            break;
         }
      }
      else
         localrows = TRUE;
   }

   if( !valid )
   {
      /** @todo try to correct lp rows */
      SCIPdebugMessage("Some global bound changes were not valid in lp rows.\n");
      goto TERMINATE;
   }

   SCIP_CALL( SCIPallocBufferArray(scip, &shiftcands, shiftcandssize) );
   SCIP_CALL( SCIPallocBufferArray(scip, &shiftvals, shiftcandssize) );


   SCIPdebugMessage("Starting 1-opt heuristic\n");

   /* enumerate all integer variables and find out which of them are shiftable */
   for( i = 0; i < nintvars; i++ )
   {
      if( SCIPvarGetStatus(vars[i]) == SCIP_VARSTATUS_COLUMN )
      {
         SCIP_Real shiftval;
         SCIP_Real solval;

         /* find out whether the variable can be shifted */
         solval = SCIPgetSolVal(scip, worksol, vars[i]);
         shiftval = calcShiftVal(scip, vars[i], solval, activities);

         /* insert the variable into the list of shifting candidates */
         if( !SCIPisFeasZero(scip, shiftval) )
         {
            SCIPdebugMessage(" -> Variable <%s> can be shifted by <%1.1f> \n", SCIPvarGetName(vars[i]), shiftval);

            if( nshiftcands == shiftcandssize)
            {
               shiftcandssize *= 8;
               SCIP_CALL( SCIPreallocBufferArray(scip, &shiftcands, shiftcandssize) );
               SCIP_CALL( SCIPreallocBufferArray(scip, &shiftvals, shiftcandssize) );
            }
            shiftcands[nshiftcands] = vars[i];
            shiftvals[nshiftcands] = shiftval;
            nshiftcands++;
         }
      }
   }

   /* if at least one variable can be shifted, shift variables sorted by their objective */
   if( nshiftcands > 0 )
   {
      SCIP_Real shiftval;
      SCIP_Real solval;
      SCIP_VAR* var;

      /* the case that exactly one variable can be shifted is slightly easier */
      if( nshiftcands == 1 )
      {
         var = shiftcands[0];
         assert(var != NULL);
         solval = SCIPgetSolVal(scip, worksol, var);
         shiftval = shiftvals[0];
         assert(!SCIPisFeasZero(scip,shiftval));
         SCIPdebugMessage(" Only one shiftcand found, var <%s>, which is now shifted by<%1.1f> \n",
            SCIPvarGetName(var), shiftval);
         SCIP_CALL( SCIPsetSolVal(scip, worksol, var, solval+shiftval) );
      }
      else
      {
         SCIP_Real* objcoeffs;

         SCIP_CALL( SCIPallocBufferArray(scip, &objcoeffs, nshiftcands) );

         SCIPdebugMessage(" %d shiftcands found \n", nshiftcands);

         /* sort the variables by their objective, optionally weighted with the shiftval */
         if( heurdata->weightedobj )
         {
            for( i = 0; i < nshiftcands; ++i )
               objcoeffs[i] = SCIPvarGetObj(shiftcands[i])*shiftvals[i];
         }
         else
         {
            for( i = 0; i < nshiftcands; ++i )
               objcoeffs[i] = SCIPvarGetObj(shiftcands[i]);
         }

         /* sort arrays with respect to the first one */
         SCIPsortRealPtr(objcoeffs, (void**)shiftcands, nshiftcands);

         /* try to shift each variable -> Activities have to be updated */
         for( i = 0; i < nshiftcands; ++i )
         {
            var = shiftcands[i];
            assert(var != NULL);
            solval = SCIPgetSolVal(scip, worksol, var);
            shiftval = calcShiftVal(scip, var, solval, activities);
            SCIPdebugMessage(" -> Variable <%s> is now shifted by <%1.1f> \n", SCIPvarGetName(vars[i]), shiftval);
            assert(i > 0 || !SCIPisFeasZero(scip, shiftval));
            assert(SCIPisFeasGE(scip, solval+shiftval, SCIPvarGetLbGlobal(var)) && SCIPisFeasLE(scip, solval+shiftval, SCIPvarGetUbGlobal(var)));
            SCIP_CALL( SCIPsetSolVal(scip, worksol, var, solval+shiftval) );
            SCIP_CALL( updateRowActivities(scip, activities, var, shiftval) );
         }

         SCIPfreeBufferArray(scip, &objcoeffs);
      }

      /* if the problem is a pure IP, try to install the solution, if it is a MIP, solve LP again to set the continuous
       * variables to the best possible value
       */
      if( nvars == nintvars || !SCIPhasCurrentNodeLP(scip) || SCIPgetLPSolstat(scip) != SCIP_LPSOLSTAT_OPTIMAL )
      {
         SCIP_Bool success;

         /* since we ignore local rows, we cannot guarantee their feasibility and have to set the checklprows flag to
          * TRUE if local rows are present
          */
         SCIP_CALL( SCIPtrySol(scip, worksol, FALSE, FALSE, FALSE, localrows, &success) );

         if( success )
         {
            SCIPdebugMessage("found feasible shifted solution:\n");
            SCIPdebug( SCIP_CALL( SCIPprintSol(scip, worksol, NULL, FALSE) ) );
            heurdata->lastsolindex = SCIPsolGetIndex(bestsol);
            *result = SCIP_FOUNDSOL;
         }
      }
      else
      {
         SCIP_Bool lperror;
#ifdef NDEBUG
         SCIP_RETCODE retstat;
#endif

         SCIPdebugMessage("shifted solution should be feasible -> solve LP to fix continuous variables to best values\n");

         /* start diving to calculate the LP relaxation */
         SCIP_CALL( SCIPstartDive(scip) );

         /* set the bounds of the variables: fixed for integers, global bounds for continuous */
         for( i = 0; i < nvars; ++i )
         {
            if( SCIPvarGetStatus(vars[i]) == SCIP_VARSTATUS_COLUMN )
            {
               SCIP_CALL( SCIPchgVarLbDive(scip, vars[i], SCIPvarGetLbGlobal(vars[i])) );
               SCIP_CALL( SCIPchgVarUbDive(scip, vars[i], SCIPvarGetUbGlobal(vars[i])) );
            }
         }
         /* apply this after global bounds to not cause an error with intermediate empty domains */
         for( i = 0; i < nintvars; ++i )
         {
            if( SCIPvarGetStatus(vars[i]) == SCIP_VARSTATUS_COLUMN )
            {
               solval = SCIPgetSolVal(scip, worksol, vars[i]);
               SCIP_CALL( SCIPchgVarLbDive(scip, vars[i], solval) );
               SCIP_CALL( SCIPchgVarUbDive(scip, vars[i], solval) );
            }
         }

         /* solve LP */
         SCIPdebugMessage(" -> old LP iterations: %" SCIP_LONGINT_FORMAT "\n", SCIPgetNLPIterations(scip));

         /**@todo in case of an MINLP, if SCIPisNLPConstructed() is TRUE, say, rather solve the NLP instead of the LP */
         /* Errors in the LP solver should not kill the overall solving process, if the LP is just needed for a heuristic.
          * Hence in optimized mode, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
          */
#ifdef NDEBUG
         retstat = SCIPsolveDiveLP(scip, -1, &lperror, NULL);
         if( retstat != SCIP_OKAY )
         { 
            SCIPwarningMessage(scip, "Error while solving LP in Oneopt heuristic; LP solve terminated with code <%d>\n",retstat);
         }
#else
         SCIP_CALL( SCIPsolveDiveLP(scip, -1, &lperror, NULL) );
#endif

         SCIPdebugMessage(" -> new LP iterations: %" SCIP_LONGINT_FORMAT "\n", SCIPgetNLPIterations(scip));
         SCIPdebugMessage(" -> error=%u, status=%d\n", lperror, SCIPgetLPSolstat(scip));

         /* check if this is a feasible solution */
         if( !lperror && SCIPgetLPSolstat(scip) == SCIP_LPSOLSTAT_OPTIMAL )
         {
            SCIP_Bool success;

            /* copy the current LP solution to the working solution */
            SCIP_CALL( SCIPlinkLPSol(scip, worksol) );
            SCIP_CALL( SCIPtrySol(scip, worksol, FALSE, FALSE, FALSE, FALSE, &success) );

            /* check solution for feasibility */
            if( success )
            {
               SCIPdebugMessage("found feasible shifted solution:\n");
               SCIPdebug( SCIP_CALL( SCIPprintSol(scip, worksol, NULL, FALSE) ) );
               heurdata->lastsolindex = SCIPsolGetIndex(bestsol);
               *result = SCIP_FOUNDSOL;
            }
         }

         /* terminate the diving */
         SCIP_CALL( SCIPendDive(scip) );
      }
   }
   SCIPdebugMessage("Finished 1-opt heuristic\n");

   SCIPfreeBufferArray(scip, &shiftvals);
   SCIPfreeBufferArray(scip, &shiftcands);

 TERMINATE:
   SCIPfreeBufferArray(scip, &activities);
   SCIP_CALL( SCIPfreeSol(scip, &worksol) );

   return SCIP_OKAY;
}
Example #6
0
/** reduced cost pricing method of variable pricer for feasible LPs */
static
SCIP_DECL_PRICERREDCOST(pricerRedcostBinpacking)
{  /*lint --e{715}*/
   SCIP* subscip;
   SCIP_PRICERDATA* pricerdata;
   SCIP_CONS** conss;
   SCIP_VAR** vars;
   int* ids;
   SCIP_Bool addvar;

   SCIP_SOL** sols;
   int nsols;
   int s;

   int nitems;
   SCIP_Longint capacity;

   SCIP_Real timelimit;
   SCIP_Real memorylimit;

   assert(scip != NULL);
   assert(pricer != NULL);

   (*result) = SCIP_DIDNOTRUN;

   /* get the pricer data */
   pricerdata = SCIPpricerGetData(pricer);
   assert(pricerdata != NULL);

   capacity = pricerdata->capacity;
   conss = pricerdata->conss;
   ids = pricerdata->ids;
   nitems = pricerdata->nitems;

   /* get the remaining time and memory limit */
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );
   if( !SCIPisInfinity(scip, memorylimit) )
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;

   /* initialize SCIP */
   SCIP_CALL( SCIPcreate(&subscip) );
   SCIP_CALL( SCIPincludeDefaultPlugins(subscip) );

   /* create problem in sub SCIP */
   SCIP_CALL( SCIPcreateProbBasic(subscip, "pricing") );
   SCIP_CALL( SCIPsetObjsense(subscip, SCIP_OBJSENSE_MAXIMIZE) );

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );

   /* set time and memory limit */
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );

   SCIP_CALL( SCIPallocMemoryArray(subscip, &vars, nitems) );

   /* initialization local pricing problem */
   SCIP_CALL( initPricing(scip, pricerdata, subscip, vars) );

   SCIPdebugMessage("solve pricer problem\n");

   /* solve sub SCIP */
   SCIP_CALL( SCIPsolve(subscip) );

   sols = SCIPgetSols(subscip);
   nsols = SCIPgetNSols(subscip);
   addvar = FALSE;

   /* loop over all solutions and create the corresponding column to master if the reduced cost are negative for master,
    * that is the objective value i greater than 1.0
    */
   for( s = 0; s < nsols; ++s )
   {
      SCIP_Bool feasible;
      SCIP_SOL* sol;

      /* the soultion should be sorted w.r.t. the objective function value */
      assert(s == 0 || SCIPisFeasGE(subscip, SCIPgetSolOrigObj(subscip, sols[s-1]), SCIPgetSolOrigObj(subscip, sols[s])));

      sol = sols[s];
      assert(sol != NULL);

      /* check if solution is feasible in original sub SCIP */
      SCIP_CALL( SCIPcheckSolOrig(subscip, sol, &feasible, FALSE, FALSE ) );

      if( !feasible )
      {
         SCIPwarningMessage(scip, "solution in pricing problem (capacity <%d>) is infeasible\n", capacity);
         continue;
      }

      /* check if the solution has a value greater than 1.0 */
      if( SCIPisFeasGT(subscip, SCIPgetSolOrigObj(subscip, sol), 1.0) )
      {
         SCIP_VAR* var;
         SCIP_VARDATA* vardata;
         int* consids;
         char strtmp[SCIP_MAXSTRLEN];
         char name[SCIP_MAXSTRLEN];
         int nconss;
         int o;
         int v;

         SCIPdebug( SCIP_CALL( SCIPprintSol(subscip, sol, NULL, FALSE) ) );

         nconss = 0;
         (void) SCIPsnprintf(name, SCIP_MAXSTRLEN, "items");

         SCIP_CALL( SCIPallocBufferArray(scip, &consids, nitems) );

         /* check which variables are fixed -> which item belongs to this packing */
         for( o = 0, v = 0; o < nitems; ++o )
         {
            if( !SCIPconsIsEnabled(conss[o]) )
               continue;

            assert(SCIPgetNFixedonesSetppc(scip, conss[o]) == 0);

            if( SCIPgetSolVal(subscip, sol, vars[v]) > 0.5 )
            {
               (void) SCIPsnprintf(strtmp, SCIP_MAXSTRLEN, "_%d", ids[o]);
               strcat(name, strtmp);

               consids[nconss] = o;
               nconss++;
            }
            else
               assert( SCIPisFeasEQ(subscip, SCIPgetSolVal(subscip, sol, vars[v]), 0.0) );

            v++;
         }

         SCIP_CALL( SCIPvardataCreateBinpacking(scip, &vardata, consids, nconss) );

         /* create variable for a new column with objective function coefficient 0.0 */
         SCIP_CALL( SCIPcreateVarBinpacking(scip, &var, name, 1.0, FALSE, TRUE, vardata) );

         /* add the new variable to the pricer store */
         SCIP_CALL( SCIPaddPricedVar(scip, var, 1.0) );
         addvar = TRUE;

         /* change the upper bound of the binary variable to lazy since the upper bound is already enforced due to
          * the objective function the set covering constraint; The reason for doing is that, is to avoid the bound
          * of x <= 1 in the LP relaxation since this bound constraint would produce a dual variable which might have
          * a positive reduced cost
          */
         SCIP_CALL( SCIPchgVarUbLazy(scip, var, 1.0) );

         /* check which variable are fixed -> which orders belong to this packing */
         for( v = 0; v < nconss; ++v )
         {
            assert(SCIPconsIsEnabled(conss[consids[v]]));
            SCIP_CALL( SCIPaddCoefSetppc(scip, conss[consids[v]], var) );
         }

         SCIPdebug(SCIPprintVar(scip, var, NULL) );
         SCIP_CALL( SCIPreleaseVar(scip, &var) );

         SCIPfreeBufferArray(scip, &consids);
      }
      else
         break;
   }

   /* free pricer MIP */
   SCIPfreeMemoryArray(subscip, &vars);

   if( addvar || SCIPgetStatus(subscip) == SCIP_STATUS_OPTIMAL )
      (*result) = SCIP_SUCCESS;

   /* free sub SCIP */
   SCIP_CALL( SCIPfree(&subscip) );

   return SCIP_OKAY;
}
Example #7
0
/** main procedure of the RENS heuristic, creates and solves a subMIP */
SCIP_RETCODE SCIPapplyGcgrens(
   SCIP*                 scip,               /**< original SCIP data structure                                   */
   SCIP_HEUR*            heur,               /**< heuristic data structure                                       */
   SCIP_RESULT*          result,             /**< result data structure                                          */
   SCIP_Real             minfixingrate,      /**< minimum percentage of integer variables that have to be fixed  */
   SCIP_Real             minimprove,         /**< factor by which RENS should at least improve the incumbent     */
   SCIP_Longint          maxnodes,           /**< maximum number of  nodes for the subproblem                    */
   SCIP_Longint          nstallnodes,        /**< number of stalling nodes for the subproblem                    */
   SCIP_Bool             binarybounds,       /**< should general integers get binary bounds [floor(.),ceil(.)]?  */
   SCIP_Bool             uselprows           /**< should subproblem be created out of the rows in the LP rows?   */
   )
{
   SCIP* subscip;                            /* the subproblem created by RENS                  */
   SCIP_HASHMAP* varmapfw;                   /* mapping of SCIP variables to sub-SCIP variables */
   SCIP_VAR** vars;                          /* original problem's variables                    */
   SCIP_VAR** subvars;                       /* subproblem's variables                          */

   SCIP_Real cutoff;                         /* objective cutoff for the subproblem             */
   SCIP_Real timelimit;
   SCIP_Real memorylimit;

   int nvars;
   int i;

   SCIP_Bool success;
   SCIP_RETCODE retcode;

   assert(scip != NULL);
   assert(heur != NULL);
   assert(result != NULL);

   assert(maxnodes >= 0);
   assert(nstallnodes >= 0);

   assert(0.0 <= minfixingrate && minfixingrate <= 1.0);
   assert(0.0 <= minimprove && minimprove <= 1.0);

   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );

   /* initialize the subproblem */
   SCIP_CALL( SCIPcreate(&subscip) );

   /* create the variable mapping hash map */
   SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
   SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );

   if( uselprows )
   {
      char probname[SCIP_MAXSTRLEN];

      /* copy all plugins */
      SCIP_CALL( SCIPincludeDefaultPlugins(subscip) );

      /* get name of the original problem and add the string "_gcgrenssub" */
      (void) SCIPsnprintf(probname, SCIP_MAXSTRLEN, "%s_gcgrenssub", SCIPgetProbName(scip));

      /* create the subproblem */
      SCIP_CALL( SCIPcreateProb(subscip, probname, NULL, NULL, NULL, NULL, NULL, NULL, NULL) );

      /* copy all variables */
      SCIP_CALL( SCIPcopyVars(scip, subscip, varmapfw, NULL, TRUE) );
   }
   else
   {
      SCIP_Bool valid;
      SCIP_HEURDATA* heurdata;

      valid = FALSE;

      SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "gcgrens", TRUE, FALSE, TRUE, &valid) ); /** @todo check for thread safeness */

      /* get heuristic's data */
      heurdata = SCIPheurGetData(heur);
      assert( heurdata != NULL );

      if( heurdata->copycuts )
      {
         /** copies all active cuts from cutpool of sourcescip to linear constraints in targetscip */
         SCIP_CALL( SCIPcopyCuts(scip, subscip, varmapfw, NULL, TRUE, NULL) );
      }

      SCIPdebugMessage("Copying the SCIP instance was %s complete.\n", valid ? "" : "not ");
   }

   for( i = 0; i < nvars; i++ )
     subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);

   /* free hash map */
   SCIPhashmapFree(&varmapfw);

   /* create a new problem, which fixes variables with same value in bestsol and LP relaxation */
   SCIP_CALL( createSubproblem(scip, subscip, subvars, minfixingrate, binarybounds, uselprows, &success) );
   SCIPdebugMessage("RENS subproblem: %d vars, %d cons, success=%u\n", SCIPgetNVars(subscip), SCIPgetNConss(subscip), success);

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );

   /* check whether there is enough time and memory left */
   timelimit = 0.0;
   memorylimit = 0.0;
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );
   if( !SCIPisInfinity(scip, memorylimit) )
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
   if( timelimit <= 0.0 || memorylimit <= 0.0 )
      goto TERMINATE;

   /* set limits for the subproblem */
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/stallnodes", nstallnodes) );
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", maxnodes) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );

   /* forbid recursive call of heuristics and separators solving sub-SCIPs */
   SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );

   /* disable cutting plane separation */
   SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );

   /* disable expensive presolving */
   SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );

   /* use best estimate node selection */
   if( SCIPfindNodesel(scip, "estimate") != NULL )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/estimate/stdpriority", INT_MAX/4) );
   }

   /* use inference branching */
   if( SCIPfindBranchrule(scip, "inference") != NULL )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "branching/inference/priority", INT_MAX/4) );
   }

   /* disable conflict analysis */
   SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useprop", FALSE) );
   SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useinflp", FALSE) );
   SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useboundlp", FALSE) );
   SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usesb", FALSE) );
   SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usepseudo", FALSE) );


#ifdef SCIP_DEBUG
   /* for debugging RENS, enable MIP output */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 5) );
   SCIP_CALL( SCIPsetIntParam(subscip, "display/freq", 100000000) );
#endif


   /* if the subproblem could not be created, free memory and return */
   if( !success )
   {
      *result = SCIP_DIDNOTRUN;
      SCIPfreeBufferArray(scip, &subvars);
      SCIP_CALL( SCIPfree(&subscip) );
      return SCIP_OKAY;
   }

   /* if there is already a solution, add an objective cutoff */
   if( SCIPgetNSols(scip) > 0 )
   {
      SCIP_Real upperbound;
      assert( !SCIPisInfinity(scip,SCIPgetUpperbound(scip)) );

      upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);

      if( !SCIPisInfinity(scip,-1.0*SCIPgetLowerbound(scip)) )
      {
         cutoff = (1-minimprove)*SCIPgetUpperbound(scip) + minimprove*SCIPgetLowerbound(scip);
      }
      else
      {
         if( SCIPgetUpperbound ( scip ) >= 0 )
            cutoff = ( 1 - minimprove ) * SCIPgetUpperbound ( scip );
         else
            cutoff = ( 1 + minimprove ) * SCIPgetUpperbound ( scip );
      }
      cutoff = MIN(upperbound, cutoff);
      SCIP_CALL( SCIPsetObjlimit(subscip, cutoff) );
   }

   /* presolve the subproblem */
   retcode = SCIPpresolve(subscip);

   /* Errors in solving the subproblem should not kill the overall solving process
    * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
    */
   if( retcode != SCIP_OKAY )
   {
#ifndef NDEBUG
      SCIP_CALL( retcode );
#endif
      SCIPwarningMessage(scip, "Error while presolving subproblem in GCG RENS heuristic; sub-SCIP terminated with code <%d>\n",retcode);
   }

   SCIPdebugMessage("GCG RENS presolved subproblem: %d vars, %d cons, success=%u\n", SCIPgetNVars(subscip), SCIPgetNConss(subscip), success);

   /* after presolving, we should have at least reached a certain fixing rate over ALL variables (including continuous)
    * to ensure that not only the MIP but also the LP relaxation is easy enough
    */
   if( ( nvars - SCIPgetNVars(subscip) ) / (SCIP_Real)nvars >= minfixingrate / 2.0 )
   {
      SCIP_SOL** subsols;
      int nsubsols;

      /* solve the subproblem */
      SCIPdebugMessage("solving subproblem: nstallnodes=%"SCIP_LONGINT_FORMAT", maxnodes=%"SCIP_LONGINT_FORMAT"\n", nstallnodes, maxnodes);
      retcode = SCIPsolve(subscip);

      /* Errors in solving the subproblem should not kill the overall solving process
       * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
       */
      if( retcode != SCIP_OKAY )
      {
#ifndef NDEBUG
         SCIP_CALL( retcode );
#endif
         SCIPwarningMessage(scip, "Error while solving subproblem in GCG RENS heuristic; sub-SCIP terminated with code <%d>\n",retcode);
      }

      /* check, whether a solution was found;
       * due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
       */
      nsubsols = SCIPgetNSols(subscip);
      subsols = SCIPgetSols(subscip);
      success = FALSE;
      for( i = 0; i < nsubsols && !success; ++i )
      {
         SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &success) );
      }
      if( success )
         *result = SCIP_FOUNDSOL;
   }

 TERMINATE:
   /* free subproblem */
   SCIPfreeBufferArray(scip, &subvars);
   SCIP_CALL( SCIPfree(&subscip) );

   return SCIP_OKAY;
}
Example #8
0
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecLocalbranching)
{  /*lint --e{715}*/
   SCIP_Longint maxnnodes;                   /* maximum number of subnodes                            */
   SCIP_Longint nsubnodes;                   /* nodelimit for subscip                                 */

   SCIP_HEURDATA* heurdata;
   SCIP* subscip;                            /* the subproblem created by localbranching              */
   SCIP_VAR** subvars;                       /* subproblem's variables                                */
   SCIP_SOL* bestsol;                        /* best solution so far                                  */
   SCIP_EVENTHDLR*       eventhdlr;          /* event handler for LP events                     */

   SCIP_Real timelimit;                      /* timelimit for subscip (equals remaining time of scip) */
   SCIP_Real cutoff;                         /* objective cutoff for the subproblem                   */
   SCIP_Real upperbound;
   SCIP_Real memorylimit;

   SCIP_HASHMAP* varmapfw;                   /* mapping of SCIP variables to sub-SCIP variables */
   SCIP_VAR** vars;

   int nvars;
   int i;

   SCIP_Bool success;

   SCIP_RETCODE retcode;

   assert(heur != NULL);
   assert(scip != NULL);
   assert(result != NULL);

   *result = SCIP_DIDNOTRUN;

   /* get heuristic's data */
   heurdata = SCIPheurGetData(heur);
   assert( heurdata != NULL );

   /* there should be enough binary variables that a local branching constraint makes sense */
   if( SCIPgetNBinVars(scip) < 2*heurdata->neighborhoodsize )
      return SCIP_OKAY;

   *result = SCIP_DELAYED;

   /* only call heuristic, if an IP solution is at hand */
   if( SCIPgetNSols(scip) <= 0  )
      return SCIP_OKAY;

   bestsol = SCIPgetBestSol(scip);
   assert(bestsol != NULL);

   /* only call heuristic, if the best solution comes from transformed problem */
   if( SCIPsolIsOriginal(bestsol) )
      return SCIP_OKAY;

   /* only call heuristic, if enough nodes were processed since last incumbent */
   if( SCIPgetNNodes(scip) - SCIPgetSolNodenum(scip, bestsol)  < heurdata->nwaitingnodes)
      return SCIP_OKAY;

   /* only call heuristic, if the best solution does not come from trivial heuristic */
   if( SCIPsolGetHeur(bestsol) != NULL && strcmp(SCIPheurGetName(SCIPsolGetHeur(bestsol)), "trivial") == 0 )
      return SCIP_OKAY;

   /* reset neighborhood and minnodes, if new solution was found */
   if( heurdata->lastsol != bestsol )
   {
      heurdata->curneighborhoodsize = heurdata->neighborhoodsize;
      heurdata->curminnodes = heurdata->minnodes;
      heurdata->emptyneighborhoodsize = 0;
      heurdata->callstatus = EXECUTE;
      heurdata->lastsol = bestsol;
   }

   /* if no new solution was found and local branching also seems to fail, just keep on waiting */
   if( heurdata->callstatus == WAITFORNEWSOL )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTRUN;

   /* calculate the maximal number of branching nodes until heuristic is aborted */
   maxnnodes = (SCIP_Longint)(heurdata->nodesquot * SCIPgetNNodes(scip));

   /* reward local branching if it succeeded often */
   maxnnodes = (SCIP_Longint)(maxnnodes * (1.0 + 2.0*(SCIPheurGetNBestSolsFound(heur)+1.0)/(SCIPheurGetNCalls(heur)+1.0)));
   maxnnodes -= 100 * SCIPheurGetNCalls(heur);  /* count the setup costs for the sub-MIP as 100 nodes */
   maxnnodes += heurdata->nodesofs;

   /* determine the node limit for the current process */
   nsubnodes = maxnnodes - heurdata->usednodes;
   nsubnodes = MIN(nsubnodes, heurdata->maxnodes);

   /* check whether we have enough nodes left to call sub problem solving */
   if( nsubnodes < heurdata->curminnodes )
      return SCIP_OKAY;

   if( SCIPisStopped(scip) )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTFIND;

   SCIPdebugMessage("running localbranching heuristic ...\n");

   /* get the data of the variables and the best solution */
   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );

   /* initializing the subproblem */
   SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );
   SCIP_CALL( SCIPcreate(&subscip) );

   /* create the variable mapping hash map */
   SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
   success = FALSE;
   eventhdlr = NULL;

   if( heurdata->uselprows )
   {
      char probname[SCIP_MAXSTRLEN];

      /* copy all plugins */
      SCIP_CALL( SCIPincludeDefaultPlugins(subscip) );

      /* get name of the original problem and add the string "_localbranchsub" */
      (void) SCIPsnprintf(probname, SCIP_MAXSTRLEN, "%s_localbranchsub", SCIPgetProbName(scip));

      /* create the subproblem */
      SCIP_CALL( SCIPcreateProb(subscip, probname, NULL, NULL, NULL, NULL, NULL, NULL, NULL) );

      /* copy all variables */
      SCIP_CALL( SCIPcopyVars(scip, subscip, varmapfw, NULL, TRUE) );
   }
   else
   {
      SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "localbranchsub", TRUE, FALSE, TRUE, &success) );

      if( heurdata->copycuts )
      {
         /* copies all active cuts from cutpool of sourcescip to linear constraints in targetscip */
         SCIP_CALL( SCIPcopyCuts(scip, subscip, varmapfw, NULL, TRUE, NULL) );
      }

      /* create event handler for LP events */
      SCIP_CALL( SCIPincludeEventhdlrBasic(subscip, &eventhdlr, EVENTHDLR_NAME, EVENTHDLR_DESC, eventExecLocalbranching, NULL) );
      if( eventhdlr == NULL )
      {
         SCIPerrorMessage("event handler for "HEUR_NAME" heuristic not found.\n");
         return SCIP_PLUGINNOTFOUND;
      }
   }
   SCIPdebugMessage("Copying the plugins was %ssuccessful.\n", success ? "" : "not ");

   for (i = 0; i < nvars; ++i)
      subvars[i] = (SCIP_VAR*) SCIPhashmapGetImage(varmapfw, vars[i]);

   /* free hash map */
   SCIPhashmapFree(&varmapfw);

   /* if the subproblem could not be created, free memory and return */
   if( !success )
   {
      *result = SCIP_DIDNOTRUN;
      goto TERMINATE;
   }

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

#ifndef SCIP_DEBUG
   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );
#endif

   /* check whether there is enough time and memory left */
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );

   /* substract the memory already used by the main SCIP and the estimated memory usage of external software */
   if( !SCIPisInfinity(scip, memorylimit) )
   {
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
      memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
   }

   /* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
   if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
      goto TERMINATE;

   /* set limits for the subproblem */
   heurdata->nodelimit = nsubnodes;
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nsubnodes) );
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/stallnodes", MAX(10, nsubnodes/10)) );
   SCIP_CALL( SCIPsetIntParam(subscip, "limits/bestsol", 3) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );

   /* forbid recursive call of heuristics and separators solving subMIPs */
   SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );

   /* disable cutting plane separation */
   SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );

   /* disable expensive presolving */
   SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );

   /* use best estimate node selection */
   if( SCIPfindNodesel(subscip, "estimate") != NULL && !SCIPisParamFixed(subscip, "nodeselection/estimate/stdpriority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/estimate/stdpriority", INT_MAX/4) );
   }

   /* use inference branching */
   if( SCIPfindBranchrule(subscip, "inference") != NULL && !SCIPisParamFixed(subscip, "branching/inference/priority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "branching/inference/priority", INT_MAX/4) );
   }

   /* disable conflict analysis */
   if( !SCIPisParamFixed(subscip, "conflict/useprop") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useprop", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/useinflp") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useinflp", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/useboundlp") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useboundlp", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/usesb") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usesb", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/usepseudo") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usepseudo", FALSE) );
   }

   /* employ a limit on the number of enforcement rounds in the quadratic constraint handler; this fixes the issue that
    * sometimes the quadratic constraint handler needs hundreds or thousands of enforcement rounds to determine the
    * feasibility status of a single node without fractional branching candidates by separation (namely for uflquad
    * instances); however, the solution status of the sub-SCIP might get corrupted by this; hence no deductions shall be
    * made for the original SCIP
    */
   if( SCIPfindConshdlr(subscip, "quadratic") != NULL && !SCIPisParamFixed(subscip, "constraints/quadratic/enfolplimit") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "constraints/quadratic/enfolplimit", 500) );
   }

   /* copy the original problem and add the local branching constraint */
   if( heurdata->uselprows )
   {
      SCIP_CALL( createSubproblem(scip, subscip, subvars) );
   }
   SCIP_CALL( addLocalBranchingConstraint(scip, subscip, subvars, heurdata) );

   /* add an objective cutoff */
   cutoff = SCIPinfinity(scip);
   assert( !SCIPisInfinity(scip,SCIPgetUpperbound(scip)) );

   upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);
   if( !SCIPisInfinity(scip,-1.0*SCIPgetLowerbound(scip)) )
   {
      cutoff = (1-heurdata->minimprove)*SCIPgetUpperbound(scip) + heurdata->minimprove*SCIPgetLowerbound(scip);
   }
   else
   {
      if( SCIPgetUpperbound ( scip ) >= 0 )
         cutoff = ( 1 - heurdata->minimprove ) * SCIPgetUpperbound ( scip );
      else
         cutoff = ( 1 + heurdata->minimprove ) * SCIPgetUpperbound ( scip );
   }
   cutoff = MIN(upperbound, cutoff );
   SCIP_CALL( SCIPsetObjlimit(subscip, cutoff) );

   /* catch LP events of sub-SCIP */
   if( !heurdata->uselprows )
   {
      assert(eventhdlr != NULL);

      SCIP_CALL( SCIPtransformProb(subscip) );
      SCIP_CALL( SCIPcatchEvent(subscip, SCIP_EVENTTYPE_LPSOLVED, eventhdlr, (SCIP_EVENTDATA*) heurdata, NULL) );
   }

   /* solve the subproblem */
   SCIPdebugMessage("solving local branching subproblem with neighborhoodsize %d and maxnodes %"SCIP_LONGINT_FORMAT"\n",
      heurdata->curneighborhoodsize, nsubnodes);
   retcode = SCIPsolve(subscip);

   /* drop LP events of sub-SCIP */
   if( !heurdata->uselprows )
   {
      assert(eventhdlr != NULL);

      SCIP_CALL( SCIPdropEvent(subscip, SCIP_EVENTTYPE_LPSOLVED, eventhdlr, (SCIP_EVENTDATA*) heurdata, -1) );
   }

   /* Errors in solving the subproblem should not kill the overall solving process
    * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
    */
   if( retcode != SCIP_OKAY )
   {
#ifndef NDEBUG
      SCIP_CALL( retcode );
#endif
      SCIPwarningMessage(scip, "Error while solving subproblem in local branching heuristic; sub-SCIP terminated with code <%d>\n",retcode);
   }

   /* print solving statistics of subproblem if we are in SCIP's debug mode */
   SCIPdebug( SCIP_CALL( SCIPprintStatistics(subscip, NULL) ) );

   heurdata->usednodes += SCIPgetNNodes(subscip);
   SCIPdebugMessage("local branching used %"SCIP_LONGINT_FORMAT"/%"SCIP_LONGINT_FORMAT" nodes\n",
      SCIPgetNNodes(subscip), nsubnodes);

   /* check, whether a solution was found */
   if( SCIPgetNSols(subscip) > 0 )
   {
      SCIP_SOL** subsols;
      int nsubsols;

      /* check, whether a solution was found;
       * due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted
       */
      nsubsols = SCIPgetNSols(subscip);
      subsols = SCIPgetSols(subscip);
      success = FALSE;
      for( i = 0; i < nsubsols && !success; ++i )
      {
         SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &success) );
      }
      if( success )
      {
         SCIPdebugMessage("-> accepted solution of value %g\n", SCIPgetSolOrigObj(subscip, subsols[i]));
         *result = SCIP_FOUNDSOL;
      }
   }

   /* check the status of the sub-MIP */
   switch( SCIPgetStatus(subscip) )
   {
   case SCIP_STATUS_OPTIMAL:
   case SCIP_STATUS_BESTSOLLIMIT:
      heurdata->callstatus = WAITFORNEWSOL; /* new solution will immediately be installed at next call */
      SCIPdebugMessage(" -> found new solution\n");
      break;

   case SCIP_STATUS_NODELIMIT:
   case SCIP_STATUS_STALLNODELIMIT:
   case SCIP_STATUS_TOTALNODELIMIT:
      heurdata->callstatus = EXECUTE;
      heurdata->curneighborhoodsize = (heurdata->emptyneighborhoodsize + heurdata->curneighborhoodsize)/2;
      heurdata->curminnodes *= 2;
      SCIPdebugMessage(" -> node limit reached: reduced neighborhood to %d, increased minnodes to %d\n",
         heurdata->curneighborhoodsize, heurdata->curminnodes);
      if( heurdata->curneighborhoodsize <= heurdata->emptyneighborhoodsize )
      {
         heurdata->callstatus = WAITFORNEWSOL;
         SCIPdebugMessage(" -> new neighborhood was already proven to be empty: wait for new solution\n");
      }
      break;

   case SCIP_STATUS_INFEASIBLE:
   case SCIP_STATUS_INFORUNBD:
      heurdata->emptyneighborhoodsize = heurdata->curneighborhoodsize;
      heurdata->curneighborhoodsize += heurdata->curneighborhoodsize/2;
      heurdata->curneighborhoodsize = MAX(heurdata->curneighborhoodsize, heurdata->emptyneighborhoodsize + 2);
      heurdata->callstatus = EXECUTE;
      SCIPdebugMessage(" -> neighborhood is empty: increased neighborhood to %d\n", heurdata->curneighborhoodsize);
      break;

   case SCIP_STATUS_UNKNOWN:
   case SCIP_STATUS_USERINTERRUPT:
   case SCIP_STATUS_TIMELIMIT:
   case SCIP_STATUS_MEMLIMIT:
   case SCIP_STATUS_GAPLIMIT:
   case SCIP_STATUS_SOLLIMIT:
   case SCIP_STATUS_UNBOUNDED:
   default:
      heurdata->callstatus = WAITFORNEWSOL;
      SCIPdebugMessage(" -> unexpected sub-MIP status <%d>: waiting for new solution\n", SCIPgetStatus(subscip));
      break;
   }

 TERMINATE:
   /* free subproblem */
   SCIPfreeBufferArray(scip, &subvars);
   SCIP_CALL( SCIPfree(&subscip) );

   return SCIP_OKAY;
}
Example #9
0
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecForward)
{  /*lint --e{715}*/
	
   SCIP_PROBDATA* probdata;
	int	n;
	int	p;
	int	ndep;

	/* "_" means the matrix for blas */
	SCIP_Real*	y;				/* [n] */
	SCIP_Real*	orig_X_;		/* [n*p] */
	SCIP_Real*	orig_Q_;		/* [p*p] <- (X^t) X */
	SCIP_Real*	orig_q;		/* [p]   <- (X^t) y */
	SCIP_Real	r;

	int*	Mdep;					/* [ndep] */
	int*	groupX;				/* [ndep*p] */

	/* for forward selection */
	int	dim;
	int*	list;					/* [p] */
	SCIP_Real*	a;				/* [dim] */
	SCIP_Real*	a_old;		/* [dim-1] */
	SCIP_Real*	a_new;		/* [dim] */
	SCIP_Real	RSS;			/* residual sum of square */
	SCIP_Real	RSS_new;
	SCIP_Real	AIC;
	SCIP_Real	AIC_new;

	int	ublb;
	int	*Branchz;		/* [3*p] */

	/*
	 *	X: sub matrix of orig_X_ 
	 *	Y:	(X^t X)^-1 
	 * X_new = (X, x_i);
	 * Z: (X_new ^t X_new)^-1
	 *		= ( V   v
	 			 v^t u )
	 */

	SCIP_Real*	Xy;	/* sub vector of orig_q */ 
	SCIP_Real*	X_;	
	SCIP_Real*	Y_;	/* [(dim-1)*(dim-1)] */
	SCIP_Real*	Z_;	/* [dim*dim] */
	SCIP_Real*	W_;	/* [dim*dim] */
	SCIP_Real*	V_;	/* [(dim-1)*(dim-1)] */
	SCIP_Real*	v;		/* [dim-1] */
	SCIP_Real	u;
	
	SCIP_Real*	b;		/* [dim-1] */
	SCIP_Real*	c;		/* [dim-1] */
	SCIP_Real*	d;		/* [n] */

	/* variables */
	SCIP_VAR**	var_a;		/* [p] continuous variables */
	SCIP_VAR**	var_z;		/* [p] 01 variables */
	SCIP_VAR**	var_ep;		/* [n] continuous variables */
	SCIP_VAR*	var_rss;		/* continuous variable, residual sum of squares */
	SCIP_VAR*	var_log;		/* continuous variable, log(rss) */

	/* set solution */ 
	SCIP_Real *ep;
	
	int	nsols;
	int	store;
	SCIP_SOL**	sols;
	SCIP_Real	objval;

	SCIP_SOL*	sol;
	SCIP_Real*	solvals;
	SCIP_Bool	success;
	int			nvars	=	SCIPgetNVars(scip);
	SCIP_VAR**	vars;

	int 	i,j,t,ct;
	int	memo;

   assert(heur != NULL);
   assert(scip != NULL);
   assert(strcmp(SCIPheurGetName(heur), HEUR_NAME) == 0);
   assert(result != NULL);

#if MYPARA_LOG
	printf("forward selection!\n");
#endif

   /* get heuristic data */
	/*
   SCIP_HEURDATA* heurdata;
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);
   assert(lastsolindices != NULL);
	*/

	/* get values from probdata */
   probdata = SCIPgetProbData(scip);
   assert(probdata != NULL);

	n	=	SCIPprobdataGetNdatas(probdata);
	p	=	SCIPprobdataGetNexvars(probdata);
	ndep	=	SCIPprobdataGetNdep(probdata);

	y	=	SCIPprobdataGety(probdata);
	orig_X_	=	SCIPprobdataGetX(probdata);
	orig_Q_	=	SCIPprobdataGetQ(probdata);
	orig_q	=	SCIPprobdataGetq(probdata);
	r	=	SCIPprobdataGetr(probdata);

	if( ndep ){
		Mdep		=	SCIPprobdataGetMdep(probdata);
		groupX	=	SCIPprobdataGetgroupX(probdata);
	}else{
		Mdep		=	NULL;
		groupX	=	NULL;
	}

	/* variables */
	var_a		=	SCIPprobdataGetVars_a(probdata);
	var_z		=	SCIPprobdataGetVars_z(probdata);
	var_ep	=	SCIPprobdataGetVars_ep(probdata);
	var_rss	=	SCIPprobdataGetVar_rss(probdata);
	var_log	=	SCIPprobdataGetVar_log(probdata);

	/* get branching info */
	/* alloc */
	SCIP_CALL( SCIPallocBufferArray(scip, &Branchz, 3*p));
	
	GenerateZeroVecInt( 3*p, Branchz);

	for(i=0; i<p; ++i){
		ublb					=	SCIPround(scip, SCIPcomputeVarUbLocal(scip, var_z[i]) 
								+	SCIPcomputeVarLbLocal(scip, var_z[i]));
		*(Branchz+(ublb*p)+i) 	= 	1;
	}

#if MYPARA_LOG
	for(i=0; i<3; i++){
		for(j=0; j<p; j++){
			printf("%d, ", *(Branchz+(i*p)+j));
		}
		newline();
	}
#endif

	if( ndep ){
		for(i=0; i<ndep; i++){
			memo = -1; 
			for(j=0; j<p; j++){
				if( *(groupX+(i*p)+j)==1 ){
					if( *(Branchz+j)==1 ) break;
					if( *(Branchz+p+j)==1 ) memo=j;
					if( j==Mdep[i] ){
						if( memo==-1 ){
							printf("error in heur_backward.c\n");
							stop();
						}
						*(Branchz+p+memo) = 0;
						*(Branchz+memo) = 1;
						break;
					}
				}
			}
		}
	}
	
#if MYPARA_LOG
	printf("linear dependent\n");
	if( ndep ){
		for(i=0; i<3; i++){
			for(j=0; j<p; j++){
				printf("%d, ", *(Branchz+(i*p)+j));
			}
			newline();
		}
	}
#endif
	
	/* alloc */
	SCIP_CALL( SCIPallocBufferArray(scip, &X_, n*p));
	SCIP_CALL( SCIPallocBufferArray(scip, &Xy, p));
	SCIP_CALL( SCIPallocBufferArray(scip, &d, n));
	SCIP_CALL( SCIPallocBufferArray(scip, &list, p));
	
	/* initialize from Branchz */
#if MYPARA_LOG
	printf("initialization\n");
#endif

	GenerateZeroVecInt( p, list);

	dim = 0;
	memo = -1;
	AIC = 1e+06;
	SCIP_CALL( SCIPallocBufferArray(scip, &a_old, dim+1));

	for(i=0; i<p; i++){
		
		if( Branchz[i]==1 ){ /* if z_i is fixed to 0 */
			list[i] = -1;
		}else if( Branchz[p+i]==1 ){ /* if z_i is unfixed */
			list[i] = 0;
		}else if( Branchz[2*p+i]==1 ){ /* if z_i is fixed 1 */
			dim++;
			list[i] = dim;

			if( dim == 1 ){

				a_old[0] = orig_q[i] / mat_( orig_Q_, p, i, i);
				RSS = RSSvalue( 1, a_old, &orig_q[i], r);
				AIC = AICvalue( n, dim, RSS);

				/* update X_ and Xy */
				mydcopy_( &orig_X_[n * i], &X_[n * (dim-1)], n);
				Xy[dim-1] = orig_q[i];

				/* generate Y ( dim = 1 ) */
				SCIP_CALL( SCIPallocBufferArray( scip, &Y_, dim*dim));
				Y_[0] = 1 / mat_( orig_Q_, p, i, i);
		
			}else{
				/* alloc */
				SCIPfreeBufferArray(scip, &a_old);
				SCIP_CALL( SCIPallocBufferArray( scip, &a_old, dim));
				SCIP_CALL( SCIPallocBufferArray( scip, &b, dim-1));
				SCIP_CALL( SCIPallocBufferArray( scip, &c, dim-1));
				SCIP_CALL( SCIPallocBufferArray( scip, &v, dim-1));
				SCIP_CALL( SCIPallocBufferArray( scip, &V_, (dim-1)*(dim-1)));
				SCIP_CALL( SCIPallocBufferArray( scip, &Z_, (dim)*(dim)));
				
				/* 1. b <- X^t x_i */
				dgemv_t( X_, n, dim-1, &orig_X_[n * i], b);
				//printv( dim-1, b);

				/* 2. c <- Y b */
				dgemv_2( Y_, dim-1, dim-1, b, c);
				//printv( dim-1, c);

				/* 3. d <- - X c + x_i */
				dgemv_1( X_, n, dim-1, c, &orig_X_[n * i], -1.0, 1.0, d);
				//printv( n, d);

				/* 4. u <- 1/<x_i, d> */
				u = 1.0 / myddot_( &orig_X_[n * i], d, n);
				//prints(u);
				
				/* 5. v <- - u c */
				mydscal_( c, dim-1, -u, v);
				//printv( dim-1, v);

				/* 6. V <- Y + u c c^t */
				dger_1( Y_, c, c, dim-1, dim-1, u, V_);
				//printM_( V_, dim-1, dim-1);

				/* 7. Z */
				/* V */
				for(j=0; j<(dim-1); j++){
					for(t=0; t<(dim-1); t++){
						*(Z_ + j + (t*dim) ) = mat_( V_, dim-1, j, t);
					}
				}
				/* v */
				for(j=0; j<(dim-1); j++){
					*(Z_ + dim-1 + (j*dim) )  = v[j];
					*(Z_ + j + ((dim-1)*dim)) = v[j];
				}

				/* u */
				*(Z_ + dim-1 + ((dim-1)*dim)) = u;
				//printM_( Z_, dim, dim);

				/* 8. a_old <- Z (Xy) */
				Xy[dim-1] = orig_q[i];
				dgemv_2( Z_, dim, dim, Xy, a_old);
				//printv( dim, a_old);

				RSS = RSSvalue( dim, a_old, Xy, r);
				AIC = AICvalue( n, dim, RSS);

				/* copy */
				SCIPfreeBufferArray(scip, &Y_);
				SCIP_CALL( SCIPallocBufferArray(scip, &Y_, dim*dim));
				mydcopy_( Z_, Y_, dim*dim);
	
				/* update X_ and Xy */
				mydcopy_( &orig_X_[n * i], &X_[n * (dim-1)], n);
				Xy[dim-1] = orig_q[i];

				/* free */
				SCIPfreeBufferArray(scip, &b);
				SCIPfreeBufferArray(scip, &c);
				SCIPfreeBufferArray(scip, &v);
				SCIPfreeBufferArray(scip, &V_);
				SCIPfreeBufferArray(scip, &Z_);
			}

#if MYPARA_LOG
			printf("---> %dth variable, AIC:%f\n", i, AIC);
#endif

		}else{
			printf("error:heur_forward.c\n");
			stop();
		}
	}


	if( dim == 0 ){
#if MYPARA_LOG
		printf("[dim:0]\n");
#endif
		dim++;
		RSS = 1e+06;
		for(i=0; i<p; i++){
			if( list[i] == 0 ){
				a_old[0] = orig_q[i] / mat_( orig_Q_, p, i, i);
				RSS_new = RSSvalue( 1, a_old, &orig_q[i], r);
				if( RSS_new < RSS ){
					RSS = RSS_new;
					memo = i;
				}
#if MYPARA_LOG
			printf("%d: RSS = %f\n", i, RSS_new);
#endif
			}
		}
		
		if( memo < 0 || memo >= p ){
			printf("error in heur_forward.c\n");
			stop();
		}
	
		AIC = AICvalue( n, dim, RSS);
		list[memo] = dim;
		
		/* update X_ and Xy */
		mydcopy_( &orig_X_[n * memo], &X_[n * (dim-1)], n);
		Xy[dim-1] = orig_q[memo];
	
		/* generate Y ( dim = 1 ) */
		SCIP_CALL( SCIPallocBufferArray( scip, &Y_, dim*dim));
		Y_[0] = 1 / mat_( orig_Q_, p, memo, memo);
	
#if MYPARA_LOG
		printf("---> %dth variable, AIC:%f\n", memo, AIC);
#endif
	} /* if ( dim==0 ) */

	while(1){
		dim++;
		memo = -1;
		RSS = 1e+06;
#if MYPARA_LOG
		printf("(dim=%d) ", dim);
		Longline();
#endif

		/* alloc */
		SCIP_CALL( SCIPallocBufferArray( scip, &a_new, dim));
		SCIP_CALL( SCIPallocBufferArray( scip, &a, dim));
		SCIP_CALL( SCIPallocBufferArray( scip, &b, dim-1));
		SCIP_CALL( SCIPallocBufferArray( scip, &c, dim-1));
		SCIP_CALL( SCIPallocBufferArray( scip, &v, dim-1));
		SCIP_CALL( SCIPallocBufferArray( scip, &V_, (dim-1)*(dim-1)));
		SCIP_CALL( SCIPallocBufferArray( scip, &Z_, (dim)*(dim)));
		SCIP_CALL( SCIPallocBufferArray( scip, &W_, (dim)*(dim)));
		
		for(i=0; i<p; i++){
			/*
			 * 1. b <- X^t x_i
			 * 2.	c <- Y b
			 * 3. d <- - X c + x_i
			 * 4. u <- 1 / <x_i, d> 
			 * 5. v <- - u c
			 * 6. V <- Y + u c c^t
			 * 7. Z <- ( V    v
			 	          v^t  u )
			 * 8. a_new <- Z (Xy)
			 */

			if( list[i]==0 ){

				/* 1. b <- X^t x_i */
				dgemv_t( X_, n, dim-1, &orig_X_[n * i], b);
				//printv( dim-1, b);

				/* 2. c <- Y b */
				dgemv_2( Y_, dim-1, dim-1, b, c);
				//printv( dim-1, c);

				/* 3. d <- - X c + x_i */
				dgemv_1( X_, n, dim-1, c, &orig_X_[n * i], -1.0, 1.0, d);
				//printv( n, d);

				/* 4. u <- 1/<x_i, d> */
				u = 1.0 / myddot_( &orig_X_[n * i], d, n);
				//prints(u);
				
				/* 5. v <- - u c */
				mydscal_( c, dim-1, -u, v);
				//printv( dim-1, v);

				/* 6. V <- Y + u c c^t */
				dger_1( Y_, c, c, dim-1, dim-1, u, V_);
				//printM_( V_, dim-1, dim-1);

				/* 7. Z */
				/* V */
				for(j=0; j<(dim-1); j++){
					for(t=0; t<(dim-1); t++){
						*(Z_ + j + (t*dim) ) = mat_( V_, dim-1, j, t);
					}
				}
				/* v */
				for(j=0; j<(dim-1); j++){
					*(Z_ + dim-1 + (j*dim) )  = v[j];
					*(Z_ + j + ((dim-1)*dim)) = v[j];
				}

				/* u */
				*(Z_ + dim-1 + ((dim-1)*dim)) = u;
				//printM_( Z_, dim, dim);

				/* 8. a_new <- Z (Xy) */
				Xy[dim-1] = orig_q[i];
				dgemv_2( Z_, dim, dim, Xy, a_new);
				//printv( dim, a_new);

				/* test */
				RSS_new = RSSvalue( dim, a_new, Xy, r);
				if( RSS_new < RSS ){
					RSS = RSS_new;
					memo = i;
					mydcopy_( Z_, W_, dim*dim);
					mydcopy_( a_new, a, dim);
				}

#if MYPARA_LOG
				printf("%d: RSS = %f\n", i, RSS_new);
#endif

			}
		}

		if( memo < 0 || memo >= p ){
			if( memo == -1 ){
				for(i=0; i<p; i++){
					if( list[i] == 0 ){
						memo = i;
						break;
					}
				}
				if( memo != -1 ){
					printf("error in heur_forward.c\n");
					stop();
				}
			}else{
				printf("error in heur_forward.c\n");
				stop();
			}
		}

		AIC_new = AICvalue( n, dim, RSS);
		if( AIC_new < AIC ){
			AIC = AIC_new;
			list[memo] = dim;

#if MYPARA_LOG
			printf("---> %dth variable, AIC:%f\n", memo, AIC);
#endif

			/* copy and free */
			SCIPfreeBufferArray(scip, &Y_);
			SCIP_CALL( SCIPallocBufferArray(scip, &Y_, dim*dim));
			mydcopy_( W_, Y_, dim*dim);

			SCIPfreeBufferArray(scip, &a_old);
			SCIP_CALL( SCIPallocBufferArray(scip, &a_old, dim));
			mydcopy_( a, a_old, dim);

			/* update X_ and Xy */
			mydcopy_( &orig_X_[n * memo], &X_[n * (dim-1)], n);
			Xy[dim-1] = orig_q[memo];

		}else{
			memo = -1;
			SCIPfreeBufferArray(scip, Y_);
#if MYPARA_LOG
			printf("--> no selection, (AIC:%f)\n", AIC_new);
#endif
		}

		/* free */
		SCIPfreeBufferArray(scip, &a_new);
		SCIPfreeBufferArray(scip, &a);
		SCIPfreeBufferArray(scip, &b);
		SCIPfreeBufferArray(scip, &c);
		SCIPfreeBufferArray(scip, &v);
		SCIPfreeBufferArray(scip, &V_);
		SCIPfreeBufferArray(scip, &Z_);
		SCIPfreeBufferArray(scip, &W_);

		if( memo == -1 ){
			dim--;
			break;
		}
	}

	nsols = SCIPgetNSols(scip);
	
	if( nsols < MP_NUM_SOL ){
		store = 1;
	}else{
		sols = SCIPgetSols(scip);
		objval = AIC;
		nsols = MP_NUM_SOL;

		if( objval < SCIPgetSolOrigObj(scip,sols[nsols-1]) ){
			store = 1;
		}else{
			store = 0;
		}
	}

	if( store ){
		/*  generate solution  */
		/* alloc */
		SCIP_CALL( SCIPallocBufferArray(scip, &ep, n));
		dgemv_1( X_, n, dim, a_old, y, -1.0, 1.0, ep);
		
	
		/* set solution */
		/* alloc */
		SCIP_CALL( SCIPallocBufferArray(scip, &solvals, nvars));
		SCIP_CALL( SCIPallocBufferArray(scip, &vars, nvars));
	
		ct=0;
		
		/* a */
		for(i=0; i<p; ++i){
			vars[ct] = var_a[i];
			if( list[i] > 0 ){
				solvals[ct] = a_old[list[i]-1];
			}else{
				solvals[ct] = 0.0;
			}
			ct++;
		}
	
		/* z */
		for(i=0; i<p; i++){
			vars[ct] = var_z[i];
			if( list[i] > 0 ){
				solvals[ct] = 1.0;
			}else{
				solvals[ct] = 0.0;
			}
			ct++;
		}
	
		/* ep */
		for(i=0; i<n; ++i){
			vars[ct]		=	var_ep[i];
			solvals[ct]	=	ep[i];
			ct++;
		}
	
		vars[ct]		=	var_rss;
		solvals[ct] =	myddot_( ep, ep, n);
		ct++;
	
		vars[ct]		=	var_log;
		solvals[ct]	=	log(myddot_( ep, ep, n));
		ct++;
	
		if( ct!=nvars ){
			SCIPerrorMessage("It is unexpected error in set sol,");
			printf("( ct, nvars) = ( %d, %d)", ct, nvars);
			stop();
		}
	
		SCIP_CALL( SCIPcreateSol(scip, &sol, heur));
		SCIP_CALL( SCIPsetSolVals(scip, sol, nvars, vars, solvals));
		SCIP_CALL( SCIPtrySolFree(scip, &sol, TRUE, FALSE, TRUE, TRUE, &success));

		/* free */
		SCIPfreeBufferArray(scip, &ep);
		SCIPfreeBufferArray(scip, &solvals);
		SCIPfreeBufferArray(scip, &vars);
	}

	/* free */
	SCIPfreeBufferArray(scip, &d);
	SCIPfreeBufferArray(scip, &X_);
	SCIPfreeBufferArray(scip, &Xy);
	SCIPfreeBufferArray(scip, &a_old);
	SCIPfreeBufferArray(scip, &list);
	SCIPfreeBufferArray(scip, &Branchz);

	*result = SCIP_FOUNDSOL;
   return SCIP_OKAY;
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecCrossover)
{  /*lint --e{715}*/
   SCIP_HEURDATA* heurdata;                  /* primal heuristic data                               */
   SCIP* subscip;                            /* the subproblem created by crossover                 */
   SCIP_HASHMAP* varmapfw;                   /* mapping of SCIP variables to sub-SCIP variables */

   SCIP_VAR** vars;                          /* original problem's variables                        */
   SCIP_VAR** subvars;                       /* subproblem's variables                              */
   SCIP_SOL** sols;

   SCIP_Real memorylimit;                    /* memory limit for the subproblem                     */
   SCIP_Real timelimit;                      /* time limit for the subproblem                       */
   SCIP_Real cutoff;                         /* objective cutoff for the subproblem                 */
   SCIP_Real upperbound;
   SCIP_Bool success;

   SCIP_Longint nstallnodes;                 /* node limit for the subproblem                       */

   int* selection;                           /* pool of solutions crossover uses                    */
   int nvars;                                /* number of original problem's variables              */
   int nbinvars;
   int nintvars;
   int nusedsols;
   int i;

   SCIP_RETCODE retcode;

   assert(heur != NULL);
   assert(scip != NULL);
   assert(result != NULL);

   /* get heuristic's data */
   heurdata = SCIPheurGetData(heur);
   assert(heurdata != NULL);
   nusedsols = heurdata->nusedsols;

   *result = SCIP_DELAYED;

   /* only call heuristic, if enough solutions are at hand */
   if( SCIPgetNSols(scip) < nusedsols  )
      return SCIP_OKAY;

   sols = SCIPgetSols(scip);
   assert(sols != NULL);

   /* if one good solution was found, heuristic should not be delayed any longer */
   if( sols[nusedsols-1] != heurdata->prevlastsol )
   {
      heurdata->nextnodenumber = SCIPgetNNodes(scip);
      if( sols[0] != heurdata->prevbestsol )
         heurdata->nfailures = 0;
   }
   /* in nonrandomized mode: only recall heuristic, if at least one new good solution was found in the meantime */
   else if( !heurdata->randomization )
      return SCIP_OKAY;

   /* if heuristic should be delayed, wait until certain number of nodes is reached */
   if( SCIPgetNNodes(scip) < heurdata->nextnodenumber )
      return SCIP_OKAY;

   /* only call heuristic, if enough nodes were processed since last incumbent */
   if( SCIPgetNNodes(scip) - SCIPgetSolNodenum(scip,SCIPgetBestSol(scip))  < heurdata->nwaitingnodes
      && (SCIPgetDepth(scip) > 0 || !heurdata->dontwaitatroot) )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTRUN;

   /* calculate the maximal number of branching nodes until heuristic is aborted */
   nstallnodes = (SCIP_Longint)(heurdata->nodesquot * SCIPgetNNodes(scip));

   /* reward Crossover if it succeeded often */
   nstallnodes = (SCIP_Longint)
      (nstallnodes * (1.0 + 2.0*(SCIPheurGetNBestSolsFound(heur)+1.0)/(SCIPheurGetNCalls(heur)+1.0)));

   /* count the setup costs for the sub-MIP as 100 nodes */
   nstallnodes -= 100 * SCIPheurGetNCalls(heur);
   nstallnodes += heurdata->nodesofs;

   /* determine the node limit for the current process */
   nstallnodes -= heurdata->usednodes;
   nstallnodes = MIN(nstallnodes, heurdata->maxnodes);

   /* check whether we have enough nodes left to call subproblem solving */
   if( nstallnodes < heurdata->minnodes )
      return SCIP_OKAY;

   if( SCIPisStopped(scip) )
     return SCIP_OKAY;

   *result = SCIP_DIDNOTFIND;

   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, &nbinvars, &nintvars, NULL, NULL) );
   assert(nvars > 0);

   /* check whether discrete variables are available */
   if( nbinvars == 0 && nintvars == 0 )
      return SCIP_OKAY;

   /* initializing the subproblem */
   SCIP_CALL( SCIPcreate(&subscip) );

   /* create the variable mapping hash map */
   SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
   success = FALSE;

   if( heurdata->uselprows )
   {
      char probname[SCIP_MAXSTRLEN];

      /* copy all plugins */
      SCIP_CALL( SCIPincludeDefaultPlugins(subscip) );

      /* get name of the original problem and add the string "_crossoversub" */
      (void) SCIPsnprintf(probname, SCIP_MAXSTRLEN, "%s_crossoversub", SCIPgetProbName(scip));

      /* create the subproblem */
      SCIP_CALL( SCIPcreateProb(subscip, probname, NULL, NULL, NULL, NULL, NULL, NULL, NULL) );

      /* copy all variables */
      SCIP_CALL( SCIPcopyVars(scip, subscip, varmapfw, NULL, TRUE) );
   }
   else
   {
      SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "crossover", TRUE, FALSE, TRUE, &success) );

      if( heurdata->copycuts )
      {
         /** copies all active cuts from cutpool of sourcescip to linear constraints in targetscip */
         SCIP_CALL( SCIPcopyCuts(scip, subscip, varmapfw, NULL, TRUE, NULL) );
      }
   }

   SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) );
   SCIP_CALL( SCIPallocBufferArray(scip, &selection, nusedsols) );

   for( i = 0; i < nvars; i++ )
     subvars[i] = (SCIP_VAR*) (size_t) SCIPhashmapGetImage(varmapfw, vars[i]);

   /* free hash map */
   SCIPhashmapFree(&varmapfw);

   success = FALSE;

   /* create a new problem, which fixes variables with same value in a certain set of solutions */
   SCIP_CALL( setupSubproblem(scip, subscip, subvars, selection, heurdata, &success) );

   heurdata->prevbestsol = SCIPgetBestSol(scip);
   heurdata->prevlastsol = sols[heurdata->nusedsols-1];

   /* if creation of sub-SCIP was aborted (e.g. due to number of fixings), free sub-SCIP and abort */
   if( !success )
   {
      *result = SCIP_DIDNOTRUN;

      /* this run will be counted as a failure since no new solution tuple could be generated or the neighborhood of the
       * solution was not fruitful in the sense that it was too big
       */
      updateFailureStatistic(scip, heurdata);

      goto TERMINATE;
   }

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );

   /* check whether there is enough time and memory left */
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );

   /* substract the memory already used by the main SCIP and the estimated memory usage of external software */
   if( !SCIPisInfinity(scip, memorylimit) )
   {
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
      memorylimit -= SCIPgetMemExternEstim(scip)/1048576.0;
   }

   /* abort if no time is left or not enough memory to create a copy of SCIP, including external memory usage */
   if( timelimit <= 0.0 || memorylimit <= 2.0*SCIPgetMemExternEstim(scip)/1048576.0 )
      goto TERMINATE;

   /* set limits for the subproblem */
   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nstallnodes) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );

   /* forbid recursive call of heuristics and separators solving subMIPs */
   SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );

   /* disable cutting plane separation */
   SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );

   /* disable expensive presolving */
   SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );

   /* use best estimate node selection */
   if( SCIPfindNodesel(subscip, "estimate") != NULL && !SCIPisParamFixed(subscip, "nodeselection/estimate/stdpriority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/estimate/stdpriority", INT_MAX/4) );
   }

   /* use inference branching */
   if( SCIPfindBranchrule(subscip, "inference") != NULL && !SCIPisParamFixed(subscip, "branching/inference/priority") )
   {
      SCIP_CALL( SCIPsetIntParam(subscip, "branching/inference/priority", INT_MAX/4) );
   }

   /* disable conflict analysis */
   if( !SCIPisParamFixed(subscip, "conflict/useprop") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useprop", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/useinflp") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useinflp", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/useboundlp") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/useboundlp", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/usesb") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usesb", FALSE) );
   }
   if( !SCIPisParamFixed(subscip, "conflict/usepseudo") )
   {
      SCIP_CALL( SCIPsetBoolParam(subscip, "conflict/usepseudo", FALSE) );
   }

   /* add an objective cutoff */
   cutoff = SCIPinfinity(scip);
   assert(!SCIPisInfinity(scip, SCIPgetUpperbound(scip)));

   upperbound = SCIPgetUpperbound(scip) - SCIPsumepsilon(scip);
   if( !SCIPisInfinity(scip,-1.0*SCIPgetLowerbound(scip)) )
   {
      cutoff = (1-heurdata->minimprove)*SCIPgetUpperbound(scip) + heurdata->minimprove*SCIPgetLowerbound(scip);
   }
   else
   {
      if( SCIPgetUpperbound ( scip ) >= 0 )
         cutoff = ( 1 - heurdata->minimprove ) * SCIPgetUpperbound ( scip );
      else
         cutoff = ( 1 + heurdata->minimprove ) * SCIPgetUpperbound ( scip );
   }
   cutoff = MIN(upperbound, cutoff );
   SCIP_CALL( SCIPsetObjlimit(subscip, cutoff) );

   /* permute the subproblem to increase diversification */
   if( heurdata->permute )
   {
      SCIP_CALL( SCIPpermuteProb(subscip, (unsigned int) SCIPheurGetNCalls(heur), TRUE, TRUE, TRUE, TRUE, TRUE) );
   }

   /* solve the subproblem */
   SCIPdebugMessage("Solve Crossover subMIP\n");
   retcode = SCIPsolve(subscip);

   /* Errors in solving the subproblem should not kill the overall solving process.
    * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop. */
   if( retcode != SCIP_OKAY )
   {
#ifndef NDEBUG
      SCIP_CALL( retcode );
#endif
      SCIPwarningMessage(scip, "Error while solving subproblem in Crossover heuristic; sub-SCIP terminated with code <%d>\n", retcode);
   }

   heurdata->usednodes += SCIPgetNNodes(subscip);

   /* check, whether a solution was found */
   if( SCIPgetNSols(subscip) > 0 )
   {
      SCIP_SOL** subsols;
      int nsubsols;
      int solindex;                             /* index of the solution created by crossover          */

      /* check, whether a solution was found;
       * due to numerics, it might happen that not all solutions are feasible -> try all solutions until one was accepted */
      nsubsols = SCIPgetNSols(subscip);
      subsols = SCIPgetSols(subscip);
      success = FALSE;
      solindex = -1;
      for( i = 0; i < nsubsols && !success; ++i )
      {
         SCIP_CALL( createNewSol(scip, subscip, subvars, heur, subsols[i], &solindex, &success) );
      }

      if( success )
      {
         int tmp;

         assert(solindex != -1);

         *result = SCIP_FOUNDSOL;

         /* insert all crossings of the new solution and (nusedsols-1) of its parents into the hashtable
          * in order to avoid incest ;)
          */
         for( i = 0; i < nusedsols; i++ )
         {
            SOLTUPLE* elem;
            tmp = selection[i];
            selection[i] = solindex;

            SCIP_CALL( createSolTuple(scip, &elem, selection, nusedsols, heurdata) );
            SCIP_CALL( SCIPhashtableInsert(heurdata->hashtable, elem) );
            selection[i] = tmp;
         }

         /* if solution was among the best ones, crossover should not be called until another good solution was found */
         if( !heurdata->randomization )
         {
            heurdata->prevbestsol = SCIPgetBestSol(scip);
            heurdata->prevlastsol = SCIPgetSols(scip)[heurdata->nusedsols-1];
         }
      }

      /* if solution is not better then incumbent or could not be added to problem => run is counted as a failure */
      if( !success || solindex != SCIPsolGetIndex(SCIPgetBestSol(scip)) )
         updateFailureStatistic(scip, heurdata);
   }
   else
   {
      /* if no new solution was found, run was a failure */
      updateFailureStatistic(scip, heurdata);
   }

 TERMINATE:
   /* free subproblem */
   SCIPfreeBufferArray(scip, &selection);
   SCIPfreeBufferArray(scip, &subvars);
   SCIP_CALL( SCIPfree(&subscip) );

   return SCIP_OKAY;
}
/** creates a subproblem for subscip by fixing a number of variables */
static
SCIP_RETCODE setupSubproblem(
   SCIP*                 scip,               /**< original SCIP data structure */
   SCIP*                 subscip,            /**< SCIP data structure for the subproblem */
   SCIP_VAR**            subvars,            /**< the variables of the subproblem */
   int*                  selection,          /**< pool of solutions crossover will use */
   SCIP_HEURDATA*        heurdata,           /**< primal heuristic data */
   SCIP_Bool*            success             /**< pointer to store whether the problem was created successfully */
   )
{
   SCIP_SOL** sols;                         /* array of all solutions found so far         */
   int nsols;                               /* number of all solutions found so far        */
   int nusedsols;                           /* number of solutions to use in crossover     */

   int i;
   char consname[SCIP_MAXSTRLEN];

   /* get solutions' data */
   nsols = SCIPgetNSols(scip);
   sols = SCIPgetSols(scip);
   nusedsols = heurdata->nusedsols;

   assert(nusedsols > 1);
   assert(nsols >= nusedsols);

   /* use nusedsols best solutions if randomization is deactivated or there are only nusedsols solutions at hand
    * or a good new solution was found since last call */
   if( !heurdata->randomization || nsols == nusedsols || heurdata->prevlastsol != sols[nusedsols-1] )
   {
      SOLTUPLE* elem;
      SCIP_HEUR* solheur;
      SCIP_Longint solnodenum;
      SCIP_Bool allsame;

      for( i = 0; i < nusedsols; i++ )
         selection[i] = i;
      SCIP_CALL( createSolTuple(scip, &elem, selection, nusedsols, heurdata) );

      solheur = SCIPsolGetHeur(sols[0]);
      solnodenum = SCIPsolGetNodenum(sols[0]);
      allsame = TRUE;

      /* check, whether all solutions have been found by the same heuristic at the same node; in this case we do not run
       * crossover, since it would probably just optimize over the same space as the other heuristic
       */
      for( i = 1; i < nusedsols; i++ )
      {
         if( SCIPsolGetHeur(sols[i]) != solheur || SCIPsolGetNodenum(sols[i]) != solnodenum )
            allsame = FALSE;
      }
      *success = !allsame && !SCIPhashtableExists(heurdata->hashtable, elem);

      /* check, whether solution tuple has already been tried */
      if( !SCIPhashtableExists(heurdata->hashtable, elem) )
      {
         SCIP_CALL( SCIPhashtableInsert(heurdata->hashtable, elem) );
      }

      /* if solution tuple has already been tried, randomization is allowed and enough solutions are at hand, try
       * to randomize another tuple. E.g., this can happen if the last crossover solution was among the best ones */
      if( !(*success) && heurdata->randomization && nsols > nusedsols )
      {
         SCIP_CALL( selectSolsRandomized(scip, selection, heurdata, success) );
      }

   }
   /* otherwise randomize the set of solutions */
   else
   {
      SCIP_CALL( selectSolsRandomized(scip, selection, heurdata, success) );
   }

   /* no acceptable solution tuple could be created */
   if( !(*success) )
      return SCIP_OKAY;

   /* get name of the original problem and add the string "_crossoversub" */
   (void) SCIPsnprintf(consname, SCIP_MAXSTRLEN, "%s_crossoversub", SCIPgetProbName(scip));

   /* set up the variables of the subproblem */
   SCIP_CALL( fixVariables(scip, subscip, subvars, selection, heurdata, success) );

   /* we copy the rows of the LP, if the enough variables could be fixed and we work on the MIP
      relaxation of the problem */
   if( *success && heurdata->uselprows )
   {
      SCIP_CALL( createRows(scip, subscip, subvars) );
   }

   return SCIP_OKAY;
}
/** randomly selects the solutions crossover will use from the pool of all solutions found so far */
static
SCIP_RETCODE selectSolsRandomized(
   SCIP*                 scip,               /**< original SCIP data structure */
   int*                  selection,          /**< pool of solutions crossover uses  */
   SCIP_HEURDATA*        heurdata,           /**< primal heuristic data */
   SCIP_Bool*            success             /**< pointer to store whether the process was successful */
   )
{

   int i;
   int j;
   int lastsol;          /* the worst solution possible to choose */
   int nusedsols;        /* number of solutions which will be chosen */

   SOLTUPLE* elem;
   SCIP_SOL** sols;

   /* initialization */
   nusedsols = heurdata->nusedsols;
   lastsol = SCIPgetNSols(scip);
   sols = SCIPgetSols(scip);
   assert(nusedsols < lastsol);

   i = 0;
   *success = FALSE;

   /* perform at maximum 10 restarts and stop as soon as a new set of solutions is found */
   while( !*success && i < 10 )
   {
      SCIP_Bool validtuple;

      validtuple = TRUE;
      for( j = 0; j < nusedsols && validtuple; j++ )
      {
         int k;
         k = SCIPgetRandomInt(nusedsols-j-1, lastsol-1, &heurdata->randseed);

         /* ensure that the solution does not have a similar source as the others */
         while( k >= nusedsols-j-1 && !solHasNewSource(sols, selection, j, k) )
            k--;

         validtuple = (k >= nusedsols-j-1);
         selection[j] = k;
         lastsol = k;
      }

      if( validtuple )
      {
         /* creates an object ready to be inserted into the hashtable */
         SCIP_CALL( createSolTuple(scip, &elem, selection, nusedsols, heurdata) );

         /* check whether the randomized set is already in the hashtable, if not, insert it */
         if( !SCIPhashtableExists(heurdata->hashtable, elem) )
         {
            SCIP_CALL( SCIPhashtableInsert(heurdata->hashtable, elem) );
            *success = TRUE;
         }
      }
      i++;
   }

   return SCIP_OKAY;
}
/** LP solution separation method of separator */
static
SCIP_DECL_SEPAEXECLP(sepaExeclpRapidlearning)
{/*lint --e{715}*/
   SCIP* subscip;                            /* the subproblem created by rapid learning       */
   SCIP_SEPADATA* sepadata;                  /* separator's private data                       */

   SCIP_VAR** vars;                          /* original problem's variables                   */
   SCIP_VAR** subvars;                       /* subproblem's variables                         */
   SCIP_HASHMAP* varmapfw;                   /* mapping of SCIP variables to sub-SCIP variables */    
   SCIP_HASHMAP* varmapbw;                   /* mapping of sub-SCIP variables to SCIP variables */

   SCIP_CONSHDLR** conshdlrs;                /* array of constraint handler's that might that might obtain conflicts */
   int* oldnconss;                           /* number of constraints without rapid learning conflicts               */

   SCIP_Longint nodelimit;                   /* node limit for the subproblem                  */
   SCIP_Real timelimit;                      /* time limit for the subproblem                  */
   SCIP_Real memorylimit;                    /* memory limit for the subproblem                */

   int nconshdlrs;                           /* size of conshdlr and oldnconss array                      */
   int nfixedvars;                           /* number of variables that could be fixed by rapid learning */
   int nvars;                                /* number of variables                                       */           
   int restartnum;                           /* maximal number of conflicts that should be created        */
   int i;                                    /* counter                                                   */

   SCIP_Bool success;                        /* was problem creation / copying constraint successful? */
   SCIP_RETCODE retcode;                     /* used for catching sub-SCIP errors in debug mode */

   int nconflicts;                          /* statistic: number of conflicts applied         */
   int nbdchgs;                             /* statistic: number of bound changes applied     */
   int n1startinfers;                       /* statistic: number of one side infer values     */
   int n2startinfers;                       /* statistic: number of both side infer values    */

   SCIP_Bool soladded;                      /* statistic: was a new incumbent found?          */
   SCIP_Bool dualboundchg;                  /* statistic: was a new dual bound found?         */
   SCIP_Bool disabledualreductions;         /* TRUE, if dual reductions in sub-SCIP are not valid for original SCIP,
                                             * e.g., because a constraint could not be copied or a primal solution
                                             * could not be copied back 
                                             */

   int ndiscvars;

   soladded = FALSE;

   assert(sepa != NULL);
   assert(scip != NULL);
   assert(result != NULL);

   *result = SCIP_DIDNOTRUN;
   
   ndiscvars = SCIPgetNBinVars(scip) + SCIPgetNIntVars(scip)+SCIPgetNImplVars(scip);

   /* only run when still not fixed binary variables exists */
   if( ndiscvars == 0 )
      return SCIP_OKAY;

   /* get separator's data */
   sepadata = SCIPsepaGetData(sepa);
   assert(sepadata != NULL);

   /* only run for integer programs */
   if( !sepadata->contvars && ndiscvars != SCIPgetNVars(scip) )
      return SCIP_OKAY;

   /* only run if there are few enough continuous variables */
   if( sepadata->contvars && SCIPgetNContVars(scip) > sepadata->contvarsquot * SCIPgetNVars(scip) )
      return SCIP_OKAY;

   /* do not run if pricers are present */
   if( SCIPgetNActivePricers(scip) > 0 )
      return SCIP_OKAY;

   /* if the separator should be exclusive to the root node, this prevents multiple calls due to restarts */
   if(  SCIPsepaGetFreq(sepa) == 0 && SCIPsepaGetNCalls(sepa) > 0)
      return SCIP_OKAY;

   /* call separator at most once per node */
   if( SCIPsepaGetNCallsAtNode(sepa) > 0 )
      return SCIP_OKAY;

   /* do not call rapid learning, if the problem is too big */
   if( SCIPgetNVars(scip) > sepadata->maxnvars || SCIPgetNConss(scip) > sepadata->maxnconss )
      return SCIP_OKAY; 

   if( SCIPisStopped(scip) )
      return SCIP_OKAY;

   *result = SCIP_DIDNOTFIND;
   
   SCIP_CALL( SCIPgetVarsData(scip, &vars, &nvars, NULL, NULL, NULL, NULL) );

   /* initializing the subproblem */  
   SCIP_CALL( SCIPallocBufferArray(scip, &subvars, nvars) ); 
   SCIP_CALL( SCIPcreate(&subscip) );
   SCIP_CALL( SCIPhashmapCreate(&varmapfw, SCIPblkmem(subscip), SCIPcalcHashtableSize(5 * nvars)) );
   success = FALSE;

   /* copy the subproblem */
   SCIP_CALL( SCIPcopy(scip, subscip, varmapfw, NULL, "rapid", FALSE, FALSE, &success) );
   
   if( sepadata->copycuts )
   {
      /** copies all active cuts from cutpool of sourcescip to linear constraints in targetscip */
      SCIP_CALL( SCIPcopyCuts(scip, subscip, varmapfw, NULL, FALSE) );
   }

   for( i = 0; i < nvars; i++ )
      subvars[i] = (SCIP_VAR*) (size_t) SCIPhashmapGetImage(varmapfw, vars[i]);
   
   SCIPhashmapFree(&varmapfw);
   
   /* this avoids dual presolving */
   if( !success )
   {
      for( i = 0; i < nvars; i++ )
      {     
         SCIP_CALL( SCIPaddVarLocks(subscip, subvars[i], 1, 1 ) );
      }
   }

   SCIPdebugMessage("Copying SCIP was%s successful.\n", success ? "" : " not");
   
   /* mimic an FD solver: DFS, no LP solving, 1-FUIP instead of all-FUIP */
   SCIP_CALL( SCIPsetIntParam(subscip, "lp/solvefreq", -1) );
   SCIP_CALL( SCIPsetIntParam(subscip, "conflict/fuiplevels", 1) );
   SCIP_CALL( SCIPsetIntParam(subscip, "nodeselection/dfs/stdpriority", INT_MAX/4) ); 
   SCIP_CALL( SCIPsetBoolParam(subscip, "constraints/disableenfops", TRUE) );
   SCIP_CALL( SCIPsetIntParam(subscip, "propagating/pseudoobj/freq", -1) );

   /* use inference branching */
   SCIP_CALL( SCIPsetBoolParam(subscip, "branching/inference/useweightedsum", FALSE) );

   /* only create short conflicts */
   SCIP_CALL( SCIPsetRealParam(subscip, "conflict/maxvarsfac", 0.05) );
  
   /* set limits for the subproblem */
   nodelimit = SCIPgetNLPIterations(scip);
   nodelimit = MAX(sepadata->minnodes, nodelimit);
   nodelimit = MIN(sepadata->maxnodes, nodelimit);

   restartnum = 1000;
   
   /* check whether there is enough time and memory left */
   SCIP_CALL( SCIPgetRealParam(scip, "limits/time", &timelimit) );
   if( !SCIPisInfinity(scip, timelimit) )
      timelimit -= SCIPgetSolvingTime(scip);
   SCIP_CALL( SCIPgetRealParam(scip, "limits/memory", &memorylimit) );
   if( !SCIPisInfinity(scip, memorylimit) )   
      memorylimit -= SCIPgetMemUsed(scip)/1048576.0;
   if( timelimit <= 0.0 || memorylimit <= 0.0 )
      goto TERMINATE;

   SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nodelimit/5) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/time", timelimit) );
   SCIP_CALL( SCIPsetRealParam(subscip, "limits/memory", memorylimit) );
   SCIP_CALL( SCIPsetIntParam(subscip, "limits/restarts", 0) );
   SCIP_CALL( SCIPsetIntParam(subscip, "conflict/restartnum", restartnum) );

   /* forbid recursive call of heuristics and separators solving subMIPs */
   SCIP_CALL( SCIPsetSubscipsOff(subscip, TRUE) );

   /* disable cutting plane separation */
   SCIP_CALL( SCIPsetSeparating(subscip, SCIP_PARAMSETTING_OFF, TRUE) );

   /* disable expensive presolving */
   SCIP_CALL( SCIPsetPresolving(subscip, SCIP_PARAMSETTING_FAST, TRUE) );

   /* do not abort subproblem on CTRL-C */
   SCIP_CALL( SCIPsetBoolParam(subscip, "misc/catchctrlc", FALSE) );

#ifndef SCIP_DEBUG
   /* disable output to console */
   SCIP_CALL( SCIPsetIntParam(subscip, "display/verblevel", 0) );
#endif

   /* add an objective cutoff */
   SCIP_CALL( SCIPsetObjlimit(subscip, SCIPgetUpperbound(scip)) );

   /* create the variable mapping hash map */
   SCIP_CALL( SCIPhashmapCreate(&varmapbw, SCIPblkmem(scip), SCIPcalcHashtableSize(5 * nvars)) );

   /* store reversing mapping of variables */
   SCIP_CALL( SCIPtransformProb(subscip) );
   for( i = 0; i < nvars; ++i)
   {  
      SCIP_CALL( SCIPhashmapInsert(varmapbw, SCIPvarGetTransVar(subvars[i]), vars[i]) );
   }

   /** allocate memory for constraints storage. Each constraint that will be created from now on will be a conflict.
    *  Therefore, we need to remember oldnconss to get the conflicts from the FD search. 
    */
   nconshdlrs = 4;
   SCIP_CALL( SCIPallocBufferArray(scip, &conshdlrs, nconshdlrs) );
   SCIP_CALL( SCIPallocBufferArray(scip, &oldnconss, nconshdlrs) );

   /* store number of constraints before rapid learning search */
   conshdlrs[0] = SCIPfindConshdlr(subscip, "bounddisjunction");
   conshdlrs[1] = SCIPfindConshdlr(subscip, "setppc");
   conshdlrs[2] = SCIPfindConshdlr(subscip, "linear");
   conshdlrs[3] = SCIPfindConshdlr(subscip, "logicor");

   /* redundant constraints might be eliminated in presolving */
   SCIP_CALL( SCIPpresolve(subscip));

   for( i = 0; i < nconshdlrs; ++i)
   {
      if( conshdlrs[i] != NULL )
         oldnconss[i] = SCIPconshdlrGetNConss(conshdlrs[i]);
   }

   nfixedvars = SCIPgetNFixedVars(scip);
   
   /* solve the subproblem */
   retcode = SCIPsolve(subscip);
   
   /* Errors in solving the subproblem should not kill the overall solving process 
    * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
    */
   if( retcode != SCIP_OKAY )
   { 
#ifndef NDEBUG
      SCIP_CALL( retcode );     
#endif
      SCIPwarningMessage("Error while solving subproblem in rapid learning separator; sub-SCIP terminated with code <%d>\n",retcode);
   }
 
   /* abort solving, if limit of applied conflicts is reached */
   if( SCIPgetNConflictConssApplied(subscip) >= restartnum )
   {
      SCIPdebugMessage("finish after %lld successful conflict calls.\n", SCIPgetNConflictConssApplied(subscip)); 
   }
   /* if the first 20% of the solution process were successful, proceed */
   else if( (sepadata->applyprimalsol && SCIPgetNSols(subscip) > 0 && SCIPisFeasLT(scip, SCIPgetUpperbound(subscip), SCIPgetUpperbound(scip) ) )
      || (sepadata->applybdchgs && SCIPgetNFixedVars(subscip) > nfixedvars)
      || (sepadata->applyconflicts && SCIPgetNConflictConssApplied(subscip) > 0) ) 
   {
      SCIPdebugMessage("proceed solving after the first 20%% of the solution process, since:\n");

      if( SCIPgetNSols(subscip) > 0 && SCIPisFeasLE(scip, SCIPgetUpperbound(subscip), SCIPgetUpperbound(scip) ) )
      {
         SCIPdebugMessage("   - there was a better solution (%f < %f)\n",SCIPgetUpperbound(subscip), SCIPgetUpperbound(scip));
      }
      if( SCIPgetNFixedVars(subscip) > nfixedvars )
      {
         SCIPdebugMessage("   - there were %d variables fixed\n", SCIPgetNFixedVars(scip)-nfixedvars );
      }
      if( SCIPgetNConflictConssFound(subscip) > 0 )
      {
         SCIPdebugMessage("   - there were %lld conflict constraints created\n", SCIPgetNConflictConssApplied(subscip));
      }

      /* set node limit to 100% */
      SCIP_CALL( SCIPsetLongintParam(subscip, "limits/nodes", nodelimit) );

      /* solve the subproblem */
      retcode = SCIPsolve(subscip);
   
      /* Errors in solving the subproblem should not kill the overall solving process 
       * Hence, the return code is caught and a warning is printed, only in debug mode, SCIP will stop.
       */
      if( retcode != SCIP_OKAY )
      { 
#ifndef NDEBUG
         SCIP_CALL( retcode );     
#endif
         SCIPwarningMessage("Error while solving subproblem in rapid learning separator; sub-SCIP terminated with code <%d>\n",retcode);
      }
   }
   else
   {
      SCIPdebugMessage("do not proceed solving after the first 20%% of the solution process.\n");
   }

#ifdef SCIP_DEBUG
   SCIP_CALL( SCIPprintStatistics(subscip, NULL) );
#endif

   disabledualreductions = FALSE;

   /* check, whether a solution was found */
   if( sepadata->applyprimalsol && SCIPgetNSols(subscip) > 0 && SCIPfindHeur(scip, "trysol") != NULL )
   {
      SCIP_HEUR* heurtrysol;
      SCIP_SOL** subsols;
      int nsubsols;

      /* check, whether a solution was found;
       * due to numerics, it might happen that not all solutions are feasible -> try all solutions until was declared to be feasible 
       */
      nsubsols = SCIPgetNSols(subscip);
      subsols = SCIPgetSols(subscip);
      soladded = FALSE;
      heurtrysol = SCIPfindHeur(scip, "trysol");

      /* sequentially add solutions to trysol heuristic */
      for( i = 0; i < nsubsols && !soladded; ++i )
      {
         SCIPdebugMessage("Try to create new solution by copying subscip solution.\n");
         SCIP_CALL( createNewSol(scip, subscip, subvars, heurtrysol, subsols[i], &soladded) );
      }
      if( !soladded || !SCIPisEQ(scip, SCIPgetSolOrigObj(subscip, subsols[i-1]), SCIPgetSolOrigObj(subscip, subsols[0])) )
         disabledualreductions = TRUE;
   }

   /* if the sub problem was solved completely, we update the dual bound */
   dualboundchg = FALSE;
   if( sepadata->applysolved && !disabledualreductions 
      && (SCIPgetStatus(subscip) == SCIP_STATUS_OPTIMAL || SCIPgetStatus(subscip) == SCIP_STATUS_INFEASIBLE) )
   {
      /* we need to multiply the dualbound with the scaling factor and add the offset, 
       * because this information has been disregarded in the sub-SCIP */
      SCIPdebugMessage("Update old dualbound %g to new dualbound %g.\n", SCIPgetDualbound(scip), SCIPgetTransObjscale(scip) * SCIPgetDualbound(subscip) + SCIPgetTransObjoffset(scip));

      SCIP_CALL( SCIPupdateLocalDualbound(scip, SCIPgetDualbound(subscip) * SCIPgetTransObjscale(scip) + SCIPgetTransObjoffset(scip)) );
      dualboundchg = TRUE;
   }

   /* check, whether conflicts were created */
   nconflicts = 0;
   if( sepadata->applyconflicts && !disabledualreductions && SCIPgetNConflictConssApplied(subscip) > 0 )
   {
      SCIP_HASHMAP* consmap;
      int hashtablesize;

      assert(SCIPgetNConflictConssApplied(subscip) < (SCIP_Longint) INT_MAX);
      hashtablesize = (int) SCIPgetNConflictConssApplied(subscip);
      assert(hashtablesize < INT_MAX/5);
      hashtablesize *= 5;

      /* create the variable mapping hash map */
      SCIP_CALL( SCIPhashmapCreate(&consmap, SCIPblkmem(scip), SCIPcalcHashtableSize(hashtablesize)) );

      /* loop over all constraint handlers that might contain conflict constraints */
      for( i = 0; i < nconshdlrs; ++i)
      {
         /* copy constraints that have been created in FD run */
         if( conshdlrs[i] != NULL && SCIPconshdlrGetNConss(conshdlrs[i]) > oldnconss[i] )
         {
            SCIP_CONS** conss;
            int c;
            int nconss;
            
            nconss = SCIPconshdlrGetNConss(conshdlrs[i]);
            conss = SCIPconshdlrGetConss(conshdlrs[i]);

            /* loop over all constraints that have been added in sub-SCIP run, these are the conflicts */            
            for( c = oldnconss[i]; c < nconss; ++c)
            {
               SCIP_CONS* cons;
               SCIP_CONS* conscopy;
               
               cons = conss[c];
               assert(cons != NULL);        

               success = FALSE;

               SCIP_CALL( SCIPgetConsCopy(subscip, scip, cons, &conscopy, conshdlrs[i], varmapbw, consmap, NULL,
                     SCIPconsIsInitial(cons), SCIPconsIsSeparated(cons), SCIPconsIsEnforced(cons), SCIPconsIsChecked(cons),
                     SCIPconsIsPropagated(cons), TRUE, FALSE, SCIPconsIsDynamic(cons), 
                     SCIPconsIsRemovable(cons), FALSE, TRUE, &success) );

               if( success )
               {
                  nconflicts++;
                  SCIP_CALL( SCIPaddCons(scip, conscopy) );
                  SCIP_CALL( SCIPreleaseCons(scip, &conscopy) );
               }
               else
               {
                  SCIPdebugMessage("failed to copy conflict constraint %s back to original SCIP\n", SCIPconsGetName(cons));
               }
            }
         }
      }   
      SCIPhashmapFree(&consmap);
   }

   /* check, whether tighter global bounds were detected */
   nbdchgs = 0;
   if( sepadata->applybdchgs && !disabledualreductions )
      for( i = 0; i < nvars; ++i )
      {
         SCIP_Bool infeasible;
         SCIP_Bool tightened;
         
         assert(SCIPisLE(scip, SCIPvarGetLbGlobal(vars[i]), SCIPvarGetLbGlobal(subvars[i]))); 
         assert(SCIPisLE(scip, SCIPvarGetLbGlobal(subvars[i]), SCIPvarGetUbGlobal(subvars[i])));
         assert(SCIPisLE(scip, SCIPvarGetUbGlobal(subvars[i]), SCIPvarGetUbGlobal(vars[i])));  
         
         /* update the bounds of the original SCIP, if a better bound was proven in the sub-SCIP */
         SCIP_CALL( SCIPtightenVarUb(scip, vars[i], SCIPvarGetUbGlobal(subvars[i]), FALSE, &infeasible, &tightened) );
         if( tightened ) 
            nbdchgs++;
         
         SCIP_CALL( SCIPtightenVarLb(scip, vars[i], SCIPvarGetLbGlobal(subvars[i]), FALSE, &infeasible, &tightened) );
         if( tightened )
            nbdchgs++;   
      }

   n1startinfers = 0;
   n2startinfers = 0;

   /* install start values for inference branching */
   if( sepadata->applyinfervals && (!sepadata->reducedinfer || soladded || nbdchgs+nconflicts > 0) )
   {
      for( i = 0; i < nvars; ++i )
      {
         SCIP_Real downinfer;
         SCIP_Real upinfer;
         SCIP_Real downvsids;
         SCIP_Real upvsids;
         SCIP_Real downconflen;
         SCIP_Real upconflen;
        
         /* copy downwards branching statistics */
         downvsids = SCIPgetVarVSIDS(subscip, subvars[i], SCIP_BRANCHDIR_DOWNWARDS);            
         downconflen = SCIPgetVarAvgConflictlength(subscip, subvars[i], SCIP_BRANCHDIR_DOWNWARDS);
         downinfer = SCIPgetVarAvgInferences(subscip, subvars[i], SCIP_BRANCHDIR_DOWNWARDS);            
         
         /* copy upwards branching statistics */
         upvsids = SCIPgetVarVSIDS(subscip, subvars[i], SCIP_BRANCHDIR_UPWARDS);                     
         upconflen = SCIPgetVarAvgConflictlength(subscip, subvars[i], SCIP_BRANCHDIR_UPWARDS);
         upinfer = SCIPgetVarAvgInferences(subscip, subvars[i], SCIP_BRANCHDIR_UPWARDS);            
        
         /* memorize statistics */
         if( downinfer+downconflen+downvsids > 0.0 || upinfer+upconflen+upvsids != 0 )
            n1startinfers++;
         
         if( downinfer+downconflen+downvsids > 0.0 && upinfer+upconflen+upvsids != 0 )
            n2startinfers++;
         
         SCIP_CALL( SCIPinitVarBranchStats(scip, vars[i], 0.0, 0.0, downvsids, upvsids, downconflen, upconflen, downinfer, upinfer, 0.0, 0.0) );
      }   
   }
   
   SCIPdebugPrintf("XXX Rapidlearning added %d conflicts, changed %d bounds, %s primal solution, %s dual bound improvement.\n", nconflicts, nbdchgs, soladded ? "found" : "no", 
      dualboundchg ? "found" : "no");

   SCIPdebugPrintf("YYY Infervalues initialized on one side: %5.2f %% of variables, %5.2f %% on both sides\n", 
      100.0 * n1startinfers/(SCIP_Real)nvars, 100.0 * n2startinfers/(SCIP_Real)nvars);

   /* change result pointer */
   if( nconflicts > 0 || dualboundchg )
      *result = SCIP_CONSADDED;
   else if( nbdchgs > 0 )
      *result = SCIP_REDUCEDDOM;
  
   /* free local data */
   SCIPfreeBufferArray(scip, &oldnconss);
   SCIPfreeBufferArray(scip, &conshdlrs);

   SCIPhashmapFree(&varmapbw);

 TERMINATE:
   /* free subproblem */
   SCIPfreeBufferArray(scip, &subvars);
   SCIP_CALL( SCIPfree(&subscip) );
  
   return SCIP_OKAY;
}