Example #1
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 #2
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;
}