/** execution method of presolver */
static
SCIP_DECL_PRESOLEXEC(presolExecDualagg)
{ /*lint --e{715}*/
SCIP_MATRIX* matrix;
SCIP_Bool initialized;
SCIP_Bool complete;
assert(result != NULL);
*result = SCIP_DIDNOTRUN;
if( (SCIPgetStage(scip) != SCIP_STAGE_PRESOLVING) || SCIPinProbing(scip) || SCIPisNLPEnabled(scip) )
return SCIP_OKAY;
if( SCIPisStopped(scip) || SCIPgetNActivePricers(scip) > 0 )
return SCIP_OKAY;
if( SCIPgetNBinVars(scip) == 0 )
return SCIP_OKAY;
if( !SCIPallowDualReds(scip) )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
matrix = NULL;
SCIP_CALL( SCIPmatrixCreate(scip, &matrix, &initialized, &complete) );
/* we only work on pure MIPs currently */
if( initialized && complete )
{
AGGRTYPE* aggtypes;
SCIP_VAR** binvars;
int nvaragg;
int ncols;
ncols = SCIPmatrixGetNColumns(matrix);
nvaragg = 0;
SCIP_CALL( SCIPallocBufferArray(scip, &aggtypes, ncols) );
BMSclearMemoryArray(aggtypes, ncols);
SCIP_CALL( SCIPallocBufferArray(scip, &binvars, ncols) );
SCIPdebug( BMSclearMemoryArray(binvars, ncols) );
/* search for aggregations */
SCIP_CALL( findUplockAggregations(scip, matrix, &nvaragg, aggtypes, binvars) );
SCIP_CALL( findDownlockAggregations(scip, matrix, &nvaragg, aggtypes, binvars) );
/* apply aggregations, if we found any */
if( nvaragg > 0 )
{
int v;
for( v = 0; v < ncols; v++ )
{
if( aggtypes[v] != NOAGG )
{
SCIP_Bool infeasible;
SCIP_Bool redundant;
SCIP_Bool aggregated;
SCIP_Real ub;
SCIP_Real lb;
ub = SCIPmatrixGetColUb(matrix, v);
lb = SCIPmatrixGetColLb(matrix, v);
/* aggregate variable */
assert(binvars[v] != NULL);
if( aggtypes[v] == BIN0UBOUND )
{
SCIP_CALL( SCIPaggregateVars(scip, SCIPmatrixGetVar(matrix, v), binvars[v], 1.0, ub-lb,
ub, &infeasible, &redundant, &aggregated) );
}
else
{
assert(aggtypes[v] == BIN0LBOUND);
SCIP_CALL( SCIPaggregateVars(scip, SCIPmatrixGetVar(matrix, v), binvars[v], 1.0, lb-ub,
lb, &infeasible, &redundant, &aggregated) );
}
/* infeasible aggregation */
if( infeasible )
{
SCIPdebugMessage(" -> infeasible aggregation\n");
*result = SCIP_CUTOFF;
return SCIP_OKAY;
}
if( aggregated )
(*naggrvars)++;
}
}
/* set result pointer */
if( (*naggrvars) > 0 )
*result = SCIP_SUCCESS;
}
SCIPfreeBufferArray(scip, &binvars);
SCIPfreeBufferArray(scip, &aggtypes);
}
SCIPmatrixFree(scip, &matrix);
return SCIP_OKAY;
}
/** add branching decisions constraints to the sub SCIP */
static
SCIP_RETCODE addBranchingDecisionConss(
SCIP* scip, /**< SCIP data structure */
SCIP* subscip, /**< pricing SCIP data structure */
SCIP_VAR** vars, /**< variable array of the subscuip oder variables */
SCIP_CONSHDLR* conshdlr /**< constraint handler for branching data */
) {
SCIP_CONS** conss;
SCIP_CONS* cons;
int nconss;
int id1;
int id2;
CONSTYPE type;
SCIP_Real vbdcoef;
SCIP_Real lhs;
SCIP_Real rhs;
int c;
assert(scip != NULL);
assert(subscip != NULL);
assert(conshdlr != NULL);
/* collect all branching decision constraints */
conss = SCIPconshdlrGetConss(conshdlr);
nconss = SCIPconshdlrGetNConss(conshdlr);
/* loop over all branching decision constraints and apply the branching decision if the corresponding constraint is active */
for (c = 0; c < nconss; ++c) {
cons = conss[c];
/* ignore constraints which are not active since these are not laying on the current active path of the search tree */
if (!SCIPconsIsActive(cons))
continue;
/* collect the two item ids and the branching type (SAME or DIFFER) on which the constraint branched */
id1 = SCIPgetItemid1Samediff(scip, cons);
id2 = SCIPgetItemid2Samediff(scip, cons);
type = SCIPgetTypeSamediff(scip, cons);
SCIPdebugMessage("create varbound for %s(%d,%d)\n", type == SAME ? "same" : "diff",
SCIPprobdataGetIds(SCIPgetProbData(scip))[id1], SCIPprobdataGetIds(SCIPgetProbData(scip))[id2]);
/* depending on the branching type select the correct left and right hand side for the linear constraint which
* enforces this branching decision in the pricing problem MIP
*/
if (type == SAME) {
lhs = 0.0;
rhs = 0.0;
vbdcoef = -1.0;
} else if (type == DIFFER) {
lhs = -SCIPinfinity(scip);
rhs = 1.0;
vbdcoef = 1.0;
} else {
SCIPerrorMessage("unknow constraint type <%d>\n, type");
return SCIP_INVALIDDATA;
}
/* add linear (in that case a variable bound) constraint to pricing MIP depending on the branching type:
*
* - branching type SAME: x1 = x2 <=> x1 - x2 = 0 <=> 0 <= x1 - x2 <= 0
*
* - branching type DIFFER: x1 - x2 <= 1 <=> -inf <= x1 - x2 <= 1
*
*/
SCIP_CALL(SCIPcreateConsVarbound(subscip, &cons, SCIPconsGetName(conss[c]),
vars[id1], vars[id2], vbdcoef, lhs, rhs, // TODO: Alert! id1 and id2 might not be the correct indices of the vars (if some constraints are skipped)
TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE));
SCIPdebug(SCIPprintCons(subscip, cons, NULL));
SCIP_CALL(SCIPaddCons(subscip, cons));
SCIP_CALL(SCIPreleaseCons(subscip, &cons));
}
return SCIP_OKAY;
}
/** 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* values;
SCIP_Longint* weights;
SCIP_Longint* capacities;
int nbins;
int b;
SCIP_Real timelimit;
SCIP_Real memorylimit;
SCIP_Real dualHallBound;
assert(scip != NULL);
assert(pricer != NULL);
(*result) = SCIP_DIDNOTRUN;
/* get the pricer data */
pricerdata = SCIPpricerGetData(pricer);
assert(pricerdata != NULL);
capacities = pricerdata->capacities;
conss = pricerdata->conss;
ids = pricerdata->ids;
values = pricerdata->values;
weights = pricerdata->weights;
nitems = pricerdata->nitems;
nbins = pricerdata->nbins;
dualHallBound = 0.0;
// run pricing problem for each bin
for (b = 0; b < nbins; ++b) {
// assert(SCIPgetDualsolLinear(scip, conss[nitems+b])<= 0);
// TODO edit if correct objsense
dualHallBound -= SCIPgetDualsolLinear(scip, conss[nitems+b]);
if (b < nbins-1 && capacities[b+1] == capacities[b])
continue;
/* 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));
/* free sub SCIP */
SCIP_CALL(SCIPcreateProb(subscip, "pricing", NULL, NULL, NULL, NULL, NULL, NULL, NULL));
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, b));
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("solution in pricing problem (capacity <%d>) is infeasible\n", capacities[b]);
continue;
}
/* check if the solution has a value greater than 1.0 */
// First subscip?
if (SCIPisFeasGT(scip, SCIPgetSolOrigObj(subscip, sol), dualHallBound)) {
SCIP_VAR* var;
SCIP_VARDATA* vardata;
int* consids;
char strtmp[SCIP_MAXSTRLEN];
char name[SCIP_MAXSTRLEN];
int nconss;
int o;
int v;
SCIP_Longint totalvalue;
SCIP_Longint totalweight;
SCIPdebug(SCIP_CALL(SCIPprintSol(subscip, sol, NULL, FALSE)));
nconss = 0;
totalvalue = 0.0;
totalweight = 0.0;
(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;
totalvalue+= values[o];
totalweight += weights[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, -totalvalue, 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));
}
/* add variable to hall constraints */
for (v = 0; v <= b; v++) {
SCIP_CALL(SCIPaddCoefLinear(scip, conss[nitems+v], var, 1.0));
if (totalweight <= capacities[v] && v < b && capacities[b] != capacities[b+1])
break;
}
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;
}
/** 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;
}
/** calculates the initial mean and variance of the row activity normal distribution.
*
* The mean value \f$ \mu \f$ is given by \f$ \mu = \sum_i=1^n c_i * (lb_i +ub_i) / 2 \f$ where
* \f$n \f$ is the number of variables, and \f$ c_i, lb_i, ub_i \f$ are the variable coefficient and
* bounds, respectively. With the same notation, the variance \f$ \sigma^2 \f$ is given by
* \f$ \sigma^2 = \sum_i=1^n c_i^2 * \sigma^2_i \f$, with the variance being
* \f$ \sigma^2_i = ((ub_i - lb_i + 1)^2 - 1) / 12 \f$ for integer variables and
* \f$ \sigma^2_i = (ub_i - lb_i)^2 / 12 \f$ for continuous variables.
*/
static
void rowCalculateGauss(
SCIP* scip, /**< SCIP data structure */
SCIP_HEURDATA* heurdata, /**< the heuristic rule data */
SCIP_ROW* row, /**< the row for which the gaussian normal distribution has to be calculated */
SCIP_Real* mu, /**< pointer to store the mean value of the gaussian normal distribution */
SCIP_Real* sigma2, /**< pointer to store the variance value of the gaussian normal distribution */
int* rowinfinitiesdown, /**< pointer to store the number of variables with infinite bounds to DECREASE activity */
int* rowinfinitiesup /**< pointer to store the number of variables with infinite bounds to INCREASE activity */
)
{
SCIP_COL** rowcols;
SCIP_Real* rowvals;
int nrowvals;
int c;
assert(scip != NULL);
assert(row != NULL);
assert(mu != NULL);
assert(sigma2 != NULL);
assert(rowinfinitiesup != NULL);
assert(rowinfinitiesdown != NULL);
rowcols = SCIProwGetCols(row);
rowvals = SCIProwGetVals(row);
nrowvals = SCIProwGetNNonz(row);
assert(nrowvals == 0 || rowcols != NULL);
assert(nrowvals == 0 || rowvals != NULL);
*mu = SCIProwGetConstant(row);
*sigma2 = 0.0;
*rowinfinitiesdown = 0;
*rowinfinitiesup = 0;
/* loop over nonzero row coefficients and sum up the variable contributions to mu and sigma2 */
for( c = 0; c < nrowvals; ++c )
{
SCIP_VAR* colvar;
SCIP_Real colval;
SCIP_Real colvarlb;
SCIP_Real colvarub;
SCIP_Real squarecoeff;
SCIP_Real varvariance;
SCIP_Real varmean;
int varindex;
assert(rowcols[c] != NULL);
colvar = SCIPcolGetVar(rowcols[c]);
assert(colvar != NULL);
colval = rowvals[c];
colvarlb = SCIPvarGetLbLocal(colvar);
colvarub = SCIPvarGetUbLocal(colvar);
varmean = 0.0;
varvariance = 0.0;
varindex = SCIPvarGetProbindex(colvar);
assert((heurdata->currentlbs[varindex] == SCIP_INVALID)
== (heurdata->currentubs[varindex] == SCIP_INVALID)); /*lint !e777 doesn't like comparing floats for equality */
/* variable bounds need to be watched from now on */
if( heurdata->currentlbs[varindex] == SCIP_INVALID ) /*lint !e777 doesn't like comparing floats for equality */
heurdataUpdateCurrentBounds(scip, heurdata, colvar);
assert(!SCIPisInfinity(scip, colvarlb));
assert(!SCIPisInfinity(scip, -colvarub));
assert(SCIPisFeasLE(scip, colvarlb, colvarub));
/* variables with infinite bounds are skipped for the calculation of the variance; they need to
* be accounted for by the counters for infinite row activity decrease and increase and they
* are used to shift the row activity mean in case they have one nonzero, but finite bound */
if( SCIPisInfinity(scip, -colvarlb) || SCIPisInfinity(scip, colvarub) )
{
if( SCIPisInfinity(scip, colvarub) )
{
/* an infinite upper bound gives the row an infinite maximum activity or minimum activity, if the coefficient is
* positive or negative, resp.
*/
if( colval < 0.0 )
++(*rowinfinitiesdown);
else
++(*rowinfinitiesup);
}
/* an infinite lower bound gives the row an infinite maximum activity or minimum activity, if the coefficient is
* negative or positive, resp.
*/
if( SCIPisInfinity(scip, -colvarlb) )
{
if( colval > 0.0 )
++(*rowinfinitiesdown);
else
++(*rowinfinitiesup);
}
}
SCIPvarCalcDistributionParameters(scip, colvarlb, colvarub, SCIPvarGetType(colvar), &varmean, &varvariance);
/* actual values are updated; the contribution of the variable to mu is the arithmetic mean of its bounds */
*mu += colval * varmean;
/* the variance contribution of a variable is c^2 * (u - l)^2 / 12.0 for continuous and c^2 * ((u - l + 1)^2 - 1) / 12.0 for integer */
squarecoeff = SQUARED(colval);
*sigma2 += squarecoeff * varvariance;
assert(!SCIPisFeasNegative(scip, *sigma2));
}
SCIPdebug( SCIPprintRow(scip, row, NULL) );
SCIPdebugMessage(" Row %s has a mean value of %g at a sigma2 of %g \n", SCIProwGetName(row), *mu, *sigma2);
}
/** LP solution separation method for disjunctive cuts */
static
SCIP_DECL_SEPAEXECLP(sepaExeclpDisjunctive)
{
SCIP_SEPADATA* sepadata;
SCIP_CONSHDLR* conshdlr;
SCIP_DIGRAPH* conflictgraph;
SCIP_ROW** rows;
SCIP_COL** cols;
SCIP_Real* cutcoefs = NULL;
SCIP_Real* simplexcoefs1 = NULL;
SCIP_Real* simplexcoefs2 = NULL;
SCIP_Real* coef = NULL;
SCIP_Real* binvrow = NULL;
SCIP_Real* rowsmaxval = NULL;
SCIP_Real* violationarray = NULL;
int* fixings1 = NULL;
int* fixings2 = NULL;
int* basisind = NULL;
int* basisrow = NULL;
int* varrank = NULL;
int* edgearray = NULL;
int nedges;
int ndisjcuts;
int nrelevantedges;
int nsos1vars;
int nconss;
int maxcuts;
int ncalls;
int depth;
int ncols;
int nrows;
int ind;
int j;
int i;
assert( sepa != NULL );
assert( strcmp(SCIPsepaGetName(sepa), SEPA_NAME) == 0 );
assert( scip != NULL );
assert( result != NULL );
*result = SCIP_DIDNOTRUN;
/* only generate disjunctive cuts if we are not close to terminating */
if ( SCIPisStopped(scip) )
return SCIP_OKAY;
/* only generate disjunctive cuts if an optimal LP solution is at hand */
if ( SCIPgetLPSolstat(scip) != SCIP_LPSOLSTAT_OPTIMAL )
return SCIP_OKAY;
/* only generate disjunctive cuts if the LP solution is basic */
if ( ! SCIPisLPSolBasic(scip) )
return SCIP_OKAY;
/* get LP data */
SCIP_CALL( SCIPgetLPColsData(scip, &cols, &ncols) );
SCIP_CALL( SCIPgetLPRowsData(scip, &rows, &nrows) );
/* return if LP has no columns or no rows */
if ( ncols == 0 || nrows == 0 )
return SCIP_OKAY;
assert( cols != NULL );
assert( rows != NULL );
/* get sepa data */
sepadata = SCIPsepaGetData(sepa);
assert( sepadata != NULL );
/* get constraint handler */
conshdlr = sepadata->conshdlr;
if ( conshdlr == NULL )
return SCIP_OKAY;
/* get number of constraints */
nconss = SCIPconshdlrGetNConss(conshdlr);
if ( nconss == 0 )
return SCIP_OKAY;
/* check for maxdepth < depth, maxinvcutsroot = 0 and maxinvcuts = 0 */
depth = SCIPgetDepth(scip);
if ( ( sepadata->maxdepth >= 0 && sepadata->maxdepth < depth )
|| ( depth == 0 && sepadata->maxinvcutsroot == 0 )
|| ( depth > 0 && sepadata->maxinvcuts == 0 ) )
return SCIP_OKAY;
/* only call the cut separator a given number of times at each node */
ncalls = SCIPsepaGetNCallsAtNode(sepa);
if ( (depth == 0 && sepadata->maxroundsroot >= 0 && ncalls >= sepadata->maxroundsroot)
|| (depth > 0 && sepadata->maxrounds >= 0 && ncalls >= sepadata->maxrounds) )
return SCIP_OKAY;
/* get conflict graph and number of conflict graph edges (note that the digraph arcs were added in both directions) */
conflictgraph = SCIPgetConflictgraphSOS1(conshdlr);
nedges = (int)SCIPceil(scip, (SCIP_Real)SCIPdigraphGetNArcs(conflictgraph)/2);
/* if too many conflict graph edges, the separator can be slow: delay it until no other cuts have been found */
if ( sepadata->maxconfsdelay >= 0 && nedges >= sepadata->maxconfsdelay )
{
int ncutsfound;
ncutsfound = SCIPgetNCutsFound(scip);
if ( ncutsfound > sepadata->lastncutsfound || ! SCIPsepaWasLPDelayed(sepa) )
{
sepadata->lastncutsfound = ncutsfound;
*result = SCIP_DELAYED;
return SCIP_OKAY;
}
}
/* check basis status */
for (j = 0; j < ncols; ++j)
{
if ( SCIPcolGetBasisStatus(cols[j]) == SCIP_BASESTAT_ZERO )
return SCIP_OKAY;
}
/* get number of SOS1 variables */
nsos1vars = SCIPgetNSOS1Vars(conshdlr);
/* allocate buffer arrays */
SCIP_CALL( SCIPallocBufferArray(scip, &edgearray, nedges) );
SCIP_CALL( SCIPallocBufferArray(scip, &fixings1, nedges) );
SCIP_CALL( SCIPallocBufferArray(scip, &fixings2, nedges) );
SCIP_CALL( SCIPallocBufferArray(scip, &violationarray, nedges) );
/* get all violated conflicts {i, j} in the conflict graph and sort them based on the degree of a violation value */
nrelevantedges = 0;
for (j = 0; j < nsos1vars; ++j)
{
SCIP_VAR* var;
var = SCIPnodeGetVarSOS1(conflictgraph, j);
if ( SCIPvarIsActive(var) && ! SCIPisFeasZero(scip, SCIPcolGetPrimsol(SCIPvarGetCol(var))) && SCIPcolGetBasisStatus(SCIPvarGetCol(var)) == SCIP_BASESTAT_BASIC )
{
int* succ;
int nsucc;
/* get successors and number of successors */
nsucc = SCIPdigraphGetNSuccessors(conflictgraph, j);
succ = SCIPdigraphGetSuccessors(conflictgraph, j);
for (i = 0; i < nsucc; ++i)
{
SCIP_VAR* varsucc;
int succind;
succind = succ[i];
varsucc = SCIPnodeGetVarSOS1(conflictgraph, succind);
if ( SCIPvarIsActive(varsucc) && succind < j && ! SCIPisFeasZero(scip, SCIPgetSolVal(scip, NULL, varsucc) ) &&
SCIPcolGetBasisStatus(SCIPvarGetCol(varsucc)) == SCIP_BASESTAT_BASIC )
{
fixings1[nrelevantedges] = j;
fixings2[nrelevantedges] = succind;
edgearray[nrelevantedges] = nrelevantedges;
violationarray[nrelevantedges++] = SCIPgetSolVal(scip, NULL, var) * SCIPgetSolVal(scip, NULL, varsucc);
}
}
}
}
/* sort violation score values */
if ( nrelevantedges > 0)
SCIPsortDownRealInt(violationarray, edgearray, nrelevantedges);
else
{
SCIPfreeBufferArrayNull(scip, &violationarray);
SCIPfreeBufferArrayNull(scip, &fixings2);
SCIPfreeBufferArrayNull(scip, &fixings1);
SCIPfreeBufferArrayNull(scip, &edgearray);
return SCIP_OKAY;
}
SCIPfreeBufferArrayNull(scip, &violationarray);
/* compute maximal number of cuts */
if ( SCIPgetDepth(scip) == 0 )
maxcuts = MIN(sepadata->maxinvcutsroot, nrelevantedges);
else
maxcuts = MIN(sepadata->maxinvcuts, nrelevantedges);
assert( maxcuts > 0 );
/* allocate buffer arrays */
SCIP_CALL( SCIPallocBufferArray(scip, &varrank, ncols) );
SCIP_CALL( SCIPallocBufferArray(scip, &rowsmaxval, nrows) );
SCIP_CALL( SCIPallocBufferArray(scip, &basisrow, ncols) );
SCIP_CALL( SCIPallocBufferArray(scip, &binvrow, nrows) );
SCIP_CALL( SCIPallocBufferArray(scip, &coef, ncols) );
SCIP_CALL( SCIPallocBufferArray(scip, &simplexcoefs1, ncols) );
SCIP_CALL( SCIPallocBufferArray(scip, &simplexcoefs2, ncols) );
SCIP_CALL( SCIPallocBufferArray(scip, &cutcoefs, ncols) );
SCIP_CALL( SCIPallocBufferArray(scip, &basisind, nrows) );
/* get basis indices */
SCIP_CALL( SCIPgetLPBasisInd(scip, basisind) );
/* create vector "basisrow" with basisrow[column of non-slack basis variable] = corresponding row of B^-1;
* compute maximum absolute value of nonbasic row coefficients */
for (j = 0; j < nrows; ++j)
{
SCIP_COL** rowcols;
SCIP_Real* rowvals;
SCIP_ROW* row;
SCIP_Real val;
SCIP_Real max = 0.0;
int nnonz;
/* fill basisrow vector */
ind = basisind[j];
if ( ind >= 0 )
basisrow[ind] = j;
/* compute maximum absolute value of nonbasic row coefficients */
row = rows[j];
assert( row != NULL );
rowvals = SCIProwGetVals(row);
nnonz = SCIProwGetNNonz(row);
rowcols = SCIProwGetCols(row);
for (i = 0; i < nnonz; ++i)
{
if ( SCIPcolGetBasisStatus(rowcols[i]) == SCIP_BASESTAT_LOWER || SCIPcolGetBasisStatus(rowcols[i]) == SCIP_BASESTAT_UPPER )
{
val = REALABS(rowvals[i]);
if ( SCIPisFeasGT(scip, val, max) )
max = REALABS(val);
}
}
/* handle slack variable coefficient and save maximum value */
rowsmaxval[j] = MAX(max, 1.0);
}
/* initialize variable ranks with -1 */
for (j = 0; j < ncols; ++j)
varrank[j] = -1;
/* free buffer array */
SCIPfreeBufferArrayNull(scip, &basisind);
/* for the most promising disjunctions: try to generate disjunctive cuts */
ndisjcuts = 0;
for (i = 0; i < maxcuts; ++i)
{
SCIP_Bool madeintegral;
SCIP_Real cutlhs1;
SCIP_Real cutlhs2;
SCIP_Real bound1;
SCIP_Real bound2;
SCIP_ROW* row = NULL;
SCIP_VAR* var;
SCIP_COL* col;
int nonbasicnumber;
int cutrank = 0;
int edgenumber;
int rownnonz;
edgenumber = edgearray[i];
/* determine first simplex row */
var = SCIPnodeGetVarSOS1(conflictgraph, fixings1[edgenumber]);
col = SCIPvarGetCol(var);
ind = SCIPcolGetLPPos(col);
assert( ind >= 0 );
assert( SCIPcolGetBasisStatus(col) == SCIP_BASESTAT_BASIC );
/* get the 'ind'th row of B^-1 and B^-1 \cdot A */
SCIP_CALL( SCIPgetLPBInvRow(scip, basisrow[ind], binvrow, NULL, NULL) );
SCIP_CALL( SCIPgetLPBInvARow(scip, basisrow[ind], binvrow, coef, NULL, NULL) );
/* get the simplex-coefficients of the non-basic variables */
SCIP_CALL( getSimplexCoefficients(scip, rows, nrows, cols, ncols, coef, binvrow, simplexcoefs1, &nonbasicnumber) );
/* get rank of variable if not known already */
if ( varrank[ind] < 0 )
varrank[ind] = getVarRank(scip, binvrow, rowsmaxval, sepadata->maxweightrange, rows, nrows);
cutrank = MAX(cutrank, varrank[ind]);
/* get right hand side and bound of simplex talbeau row */
cutlhs1 = SCIPcolGetPrimsol(col);
if ( SCIPisFeasPositive(scip, cutlhs1) )
bound1 = SCIPcolGetUb(col);
else
bound1 = SCIPcolGetLb(col);
/* determine second simplex row */
var = SCIPnodeGetVarSOS1(conflictgraph, fixings2[edgenumber]);
col = SCIPvarGetCol(var);
ind = SCIPcolGetLPPos(col);
assert( ind >= 0 );
assert( SCIPcolGetBasisStatus(col) == SCIP_BASESTAT_BASIC );
/* get the 'ind'th row of B^-1 and B^-1 \cdot A */
SCIP_CALL( SCIPgetLPBInvRow(scip, basisrow[ind], binvrow, NULL, NULL) );
SCIP_CALL( SCIPgetLPBInvARow(scip, basisrow[ind], binvrow, coef, NULL, NULL) );
/* get the simplex-coefficients of the non-basic variables */
SCIP_CALL( getSimplexCoefficients(scip, rows, nrows, cols, ncols, coef, binvrow, simplexcoefs2, &nonbasicnumber) );
/* get rank of variable if not known already */
if ( varrank[ind] < 0 )
varrank[ind] = getVarRank(scip, binvrow, rowsmaxval, sepadata->maxweightrange, rows, nrows);
cutrank = MAX(cutrank, varrank[ind]);
/* get right hand side and bound of simplex talbeau row */
cutlhs2 = SCIPcolGetPrimsol(col);
if ( SCIPisFeasPositive(scip, cutlhs2) )
bound2 = SCIPcolGetUb(col);
else
bound2 = SCIPcolGetLb(col);
/* add coefficients to cut */
SCIP_CALL( generateDisjCutSOS1(scip, sepa, rows, nrows, cols, ncols, ndisjcuts, TRUE, sepadata->strengthen, cutlhs1, cutlhs2, bound1, bound2, simplexcoefs1, simplexcoefs2, cutcoefs, &row, &madeintegral) );
if ( row == NULL )
continue;
/* raise cutrank for present cut */
++cutrank;
/* check if there are numerical evidences */
if ( ( madeintegral && ( sepadata->maxrankintegral == -1 || cutrank <= sepadata->maxrankintegral ) )
|| ( ! madeintegral && ( sepadata->maxrank == -1 || cutrank <= sepadata->maxrank ) ) )
{
/* possibly add cut to LP if it is useful; in case the lhs of the cut is minus infinity (due to scaling) the cut is useless */
rownnonz = SCIProwGetNNonz(row);
if ( rownnonz > 0 && ! SCIPisInfinity(scip, -SCIProwGetLhs(row)) && ! SCIProwIsInLP(row) && SCIPisCutEfficacious(scip, NULL, row) )
{
SCIP_Bool infeasible;
/* set cut rank */
SCIProwChgRank(row, cutrank);
/* add cut */
SCIP_CALL( SCIPaddCut(scip, NULL, row, FALSE, &infeasible) );
SCIPdebug( SCIP_CALL( SCIPprintRow(scip, row, NULL) ) );
if ( infeasible )
{
*result = SCIP_CUTOFF;
break;
}
++ndisjcuts;
}
}
/* release row */
SCIP_CALL( SCIPreleaseRow(scip, &row) );
}
/* save total number of cuts found so far */
sepadata->lastncutsfound = SCIPgetNCutsFound(scip);
/* evaluate the result of the separation */
if ( *result != SCIP_CUTOFF )
{
if ( ndisjcuts > 0 )
*result = SCIP_SEPARATED;
else
*result = SCIP_DIDNOTFIND;
}
SCIPdebugMessage("Number of found disjunctive cuts: %d.\n", ndisjcuts);
/* free buffer arrays */
SCIPfreeBufferArrayNull(scip, &cutcoefs);
SCIPfreeBufferArrayNull(scip, &simplexcoefs2);
SCIPfreeBufferArrayNull(scip, &simplexcoefs1);
SCIPfreeBufferArrayNull(scip, &coef);
SCIPfreeBufferArrayNull(scip, &binvrow);
SCIPfreeBufferArrayNull(scip, &basisrow);
SCIPfreeBufferArrayNull(scip, &fixings2);
SCIPfreeBufferArrayNull(scip, &fixings1);
SCIPfreeBufferArrayNull(scip, &edgearray);
SCIPfreeBufferArrayNull(scip, &rowsmaxval);
SCIPfreeBufferArrayNull(scip, &varrank);
return SCIP_OKAY;
}
/** creates the objective value inequality and the objective value variable, if not yet existing */
static
SCIP_RETCODE createObjRow(
SCIP* scip, /**< SCIP data structure */
SCIP_SEPADATA* sepadata /**< separator data */
)
{
assert(sepadata != NULL);
if( sepadata->objrow == NULL )
{
SCIP_VAR** vars;
SCIP_Real obj;
SCIP_Real intobjval;
int nvars;
int v;
SCIP_Bool attendobjvarbound;
attendobjvarbound = FALSE;
/* create and add objective value variable */
if( sepadata->objvar == NULL )
{
SCIP_CALL( SCIPcreateVar(scip, &sepadata->objvar, "objvar", -SCIPinfinity(scip), SCIPinfinity(scip), 0.0,
SCIP_VARTYPE_IMPLINT, FALSE, TRUE, NULL, NULL, NULL, NULL, NULL) );
SCIP_CALL( SCIPaddVar(scip, sepadata->objvar) );
SCIP_CALL( SCIPaddVarLocks(scip, sepadata->objvar, +1, +1) );
}
else
attendobjvarbound = TRUE;
/* get problem variables */
vars = SCIPgetOrigVars(scip);
nvars = SCIPgetNOrigVars(scip);
/* create objective value inequality */
if( SCIPgetObjsense(scip) == SCIP_OBJSENSE_MINIMIZE )
{
if( attendobjvarbound )
intobjval = SCIPceil(scip, SCIPgetDualbound(scip)) - SCIPvarGetLbGlobal(sepadata->objvar);
else
intobjval = SCIPceil(scip, SCIPgetDualbound(scip));
SCIP_CALL( SCIPcreateEmptyRow(scip, &sepadata->objrow, "objrow", intobjval, SCIPinfinity(scip),
FALSE, !SCIPallVarsInProb(scip), TRUE) );
sepadata->setoff = intobjval;
}
else
{
if( attendobjvarbound )
intobjval = SCIPceil(scip, SCIPgetDualbound(scip)) - SCIPvarGetUbGlobal(sepadata->objvar);
else
intobjval = SCIPfloor(scip, SCIPgetDualbound(scip));
SCIP_CALL( SCIPcreateEmptyRow(scip, &sepadata->objrow, "objrow", -SCIPinfinity(scip), intobjval,
FALSE, !SCIPallVarsInProb(scip), TRUE) );
sepadata->setoff = intobjval;
}
SCIP_CALL( SCIPcacheRowExtensions(scip, sepadata->objrow) );
for( v = 0; v < nvars; ++v )
{
obj = SCIPvarGetObj(vars[v]);
if( !SCIPisZero(scip, obj) )
{
SCIP_CALL( SCIPaddVarToRow(scip, sepadata->objrow, vars[v], obj) );
}
}
SCIP_CALL( SCIPaddVarToRow(scip, sepadata->objrow, sepadata->objvar, -1.0) );
SCIP_CALL( SCIPflushRowExtensions(scip, sepadata->objrow) );
SCIPdebugMessage("created objective value row: ");
SCIPdebug(SCIPprintRow(scip, sepadata->objrow, NULL));
}
return SCIP_OKAY;
}
/** execution method of primal heuristic */
static
SCIP_DECL_HEUREXEC(heurExecShifting) /*lint --e{715}*/
{ /*lint --e{715}*/
SCIP_HEURDATA* heurdata;
SCIP_SOL* sol;
SCIP_VAR** lpcands;
SCIP_Real* lpcandssol;
SCIP_ROW** lprows;
SCIP_Real* activities;
SCIP_ROW** violrows;
SCIP_Real* nincreases;
SCIP_Real* ndecreases;
int* violrowpos;
int* nfracsinrow;
SCIP_Real increaseweight;
SCIP_Real obj;
SCIP_Real bestshiftval;
SCIP_Real minobj;
int nlpcands;
int nlprows;
int nvars;
int nfrac;
int nviolrows;
int nprevviolrows;
int minnviolrows;
int nnonimprovingshifts;
int c;
int r;
SCIP_Longint nlps;
SCIP_Longint ncalls;
SCIP_Longint nsolsfound;
SCIP_Longint nnodes;
assert(strcmp(SCIPheurGetName(heur), HEUR_NAME) == 0);
assert(scip != NULL);
assert(result != NULL);
assert(SCIPhasCurrentNodeLP(scip));
*result = SCIP_DIDNOTRUN;
/* 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;
/* get heuristic data */
heurdata = SCIPheurGetData(heur);
assert(heurdata != NULL);
/* don't call heuristic, if we have already processed the current LP solution */
nlps = SCIPgetNLPs(scip);
if( nlps == heurdata->lastlp )
return SCIP_OKAY;
heurdata->lastlp = nlps;
/* don't call heuristic, if it was not successful enough in the past */
ncalls = SCIPheurGetNCalls(heur);
nsolsfound = 10*SCIPheurGetNBestSolsFound(heur) + SCIPheurGetNSolsFound(heur);
nnodes = SCIPgetNNodes(scip);
if( nnodes % ((ncalls/100)/(nsolsfound+1)+1) != 0 )
return SCIP_OKAY;
/* get fractional variables, that should be integral */
/* todo check if heuristic should include implicit integer variables for its calculations */
SCIP_CALL( SCIPgetLPBranchCands(scip, &lpcands, &lpcandssol, NULL, &nlpcands, NULL, NULL) );
nfrac = nlpcands;
/* only call heuristic, if LP solution is fractional */
if( nfrac == 0 )
return SCIP_OKAY;
*result = SCIP_DIDNOTFIND;
/* get LP rows */
SCIP_CALL( SCIPgetLPRowsData(scip, &lprows, &nlprows) );
SCIPdebugMessage("executing shifting heuristic: %d LP rows, %d fractionals\n", nlprows, nfrac);
/* get memory for activities, violated rows, and row violation positions */
nvars = SCIPgetNVars(scip);
SCIP_CALL( SCIPallocBufferArray(scip, &activities, nlprows) );
SCIP_CALL( SCIPallocBufferArray(scip, &violrows, nlprows) );
SCIP_CALL( SCIPallocBufferArray(scip, &violrowpos, nlprows) );
SCIP_CALL( SCIPallocBufferArray(scip, &nfracsinrow, nlprows) );
SCIP_CALL( SCIPallocBufferArray(scip, &nincreases, nvars) );
SCIP_CALL( SCIPallocBufferArray(scip, &ndecreases, nvars) );
BMSclearMemoryArray(nfracsinrow, nlprows);
BMSclearMemoryArray(nincreases, nvars);
BMSclearMemoryArray(ndecreases, nvars);
/* get the activities for all globally valid rows;
* the rows should be feasible, but due to numerical inaccuracies in the LP solver, they can be violated
*/
nviolrows = 0;
for( r = 0; r < nlprows; ++r )
{
SCIP_ROW* row;
row = lprows[r];
assert(SCIProwGetLPPos(row) == r);
if( !SCIProwIsLocal(row) )
{
activities[r] = SCIPgetRowActivity(scip, row);
if( SCIPisFeasLT(scip, activities[r], SCIProwGetLhs(row))
|| SCIPisFeasGT(scip, activities[r], SCIProwGetRhs(row)) )
{
violrows[nviolrows] = row;
violrowpos[r] = nviolrows;
nviolrows++;
}
else
violrowpos[r] = -1;
}
}
/* calc the current number of fractional variables in rows */
for( c = 0; c < nlpcands; ++c )
addFracCounter(nfracsinrow, nlprows, lpcands[c], +1);
/* get the working solution from heuristic's local data */
sol = heurdata->sol;
assert(sol != NULL);
/* copy the current LP solution to the working solution */
SCIP_CALL( SCIPlinkLPSol(scip, sol) );
/* calculate the minimal objective value possible after rounding fractional variables */
minobj = SCIPgetSolTransObj(scip, sol);
assert(minobj < SCIPgetCutoffbound(scip));
for( c = 0; c < nlpcands; ++c )
{
obj = SCIPvarGetObj(lpcands[c]);
bestshiftval = obj > 0.0 ? SCIPfeasFloor(scip, lpcandssol[c]) : SCIPfeasCeil(scip, lpcandssol[c]);
minobj += obj * (bestshiftval - lpcandssol[c]);
}
/* try to shift remaining variables in order to become/stay feasible */
nnonimprovingshifts = 0;
minnviolrows = INT_MAX;
increaseweight = 1.0;
while( (nfrac > 0 || nviolrows > 0) && nnonimprovingshifts < MAXSHIFTINGS )
{
SCIP_VAR* shiftvar;
SCIP_Real oldsolval;
SCIP_Real newsolval;
SCIP_Bool oldsolvalisfrac;
int probindex;
SCIPdebugMessage("shifting heuristic: nfrac=%d, nviolrows=%d, obj=%g (best possible obj: %g), cutoff=%g\n",
nfrac, nviolrows, SCIPgetSolOrigObj(scip, sol), SCIPretransformObj(scip, minobj),
SCIPretransformObj(scip, SCIPgetCutoffbound(scip)));
nprevviolrows = nviolrows;
/* choose next variable to process:
* - if a violated row exists, shift a variable decreasing the violation, that has least impact on other rows
* - otherwise, shift a variable, that has strongest devastating impact on rows in opposite direction
*/
shiftvar = NULL;
oldsolval = 0.0;
newsolval = 0.0;
if( nviolrows > 0 && (nfrac == 0 || nnonimprovingshifts < MAXSHIFTINGS-1) )
{
SCIP_ROW* row;
int rowidx;
int rowpos;
int direction;
rowidx = -1;
rowpos = -1;
row = NULL;
if( nfrac > 0 )
{
for( rowidx = nviolrows-1; rowidx >= 0; --rowidx )
{
row = violrows[rowidx];
rowpos = SCIProwGetLPPos(row);
assert(violrowpos[rowpos] == rowidx);
if( nfracsinrow[rowpos] > 0 )
break;
}
}
if( rowidx == -1 )
{
rowidx = SCIPgetRandomInt(0, nviolrows-1, &heurdata->randseed);
row = violrows[rowidx];
rowpos = SCIProwGetLPPos(row);
assert(0 <= rowpos && rowpos < nlprows);
assert(violrowpos[rowpos] == rowidx);
assert(nfracsinrow[rowpos] == 0);
}
assert(violrowpos[rowpos] == rowidx);
SCIPdebugMessage("shifting heuristic: try to fix violated row <%s>: %g <= %g <= %g\n",
SCIProwGetName(row), SCIProwGetLhs(row), activities[rowpos], SCIProwGetRhs(row));
SCIPdebug( SCIP_CALL( SCIPprintRow(scip, row, NULL) ) );
/* get direction in which activity must be shifted */
assert(SCIPisFeasLT(scip, activities[rowpos], SCIProwGetLhs(row))
|| SCIPisFeasGT(scip, activities[rowpos], SCIProwGetRhs(row)));
direction = SCIPisFeasLT(scip, activities[rowpos], SCIProwGetLhs(row)) ? +1 : -1;
/* search a variable that can shift the activity in the necessary direction */
SCIP_CALL( selectShifting(scip, sol, row, activities[rowpos], direction,
nincreases, ndecreases, increaseweight, &shiftvar, &oldsolval, &newsolval) );
}
if( shiftvar == NULL && nfrac > 0 )
{
SCIPdebugMessage("shifting heuristic: search rounding variable and try to stay feasible\n");
SCIP_CALL( selectEssentialRounding(scip, sol, minobj, lpcands, nlpcands, &shiftvar, &oldsolval, &newsolval) );
}
/* check, whether shifting was possible */
if( shiftvar == NULL || SCIPisEQ(scip, oldsolval, newsolval) )
{
SCIPdebugMessage("shifting heuristic: -> didn't find a shifting variable\n");
break;
}
SCIPdebugMessage("shifting heuristic: -> shift var <%s>[%g,%g], type=%d, oldval=%g, newval=%g, obj=%g\n",
SCIPvarGetName(shiftvar), SCIPvarGetLbGlobal(shiftvar), SCIPvarGetUbGlobal(shiftvar), SCIPvarGetType(shiftvar),
oldsolval, newsolval, SCIPvarGetObj(shiftvar));
/* update row activities of globally valid rows */
SCIP_CALL( updateActivities(scip, activities, violrows, violrowpos, &nviolrows, nlprows,
shiftvar, oldsolval, newsolval) );
if( nviolrows >= nprevviolrows )
nnonimprovingshifts++;
else if( nviolrows < minnviolrows )
{
minnviolrows = nviolrows;
nnonimprovingshifts = 0;
}
/* store new solution value and decrease fractionality counter */
SCIP_CALL( SCIPsetSolVal(scip, sol, shiftvar, newsolval) );
/* update fractionality counter and minimal objective value possible after shifting remaining variables */
oldsolvalisfrac = !SCIPisFeasIntegral(scip, oldsolval)
&& (SCIPvarGetType(shiftvar) == SCIP_VARTYPE_BINARY || SCIPvarGetType(shiftvar) == SCIP_VARTYPE_INTEGER);
obj = SCIPvarGetObj(shiftvar);
if( (SCIPvarGetType(shiftvar) == SCIP_VARTYPE_BINARY || SCIPvarGetType(shiftvar) == SCIP_VARTYPE_INTEGER)
&& oldsolvalisfrac )
{
assert(SCIPisFeasIntegral(scip, newsolval));
nfrac--;
nnonimprovingshifts = 0;
minnviolrows = INT_MAX;
addFracCounter(nfracsinrow, nlprows, shiftvar, -1);
/* the rounding was already calculated into the minobj -> update only if rounding in "wrong" direction */
if( obj > 0.0 && newsolval > oldsolval )
minobj += obj;
else if( obj < 0.0 && newsolval < oldsolval )
minobj -= obj;
}
else
{
/* update minimal possible objective value */
minobj += obj * (newsolval - oldsolval);
}
/* update increase/decrease arrays */
if( !oldsolvalisfrac )
{
probindex = SCIPvarGetProbindex(shiftvar);
assert(0 <= probindex && probindex < nvars);
increaseweight *= WEIGHTFACTOR;
if( newsolval < oldsolval )
ndecreases[probindex] += increaseweight;
else
nincreases[probindex] += increaseweight;
if( increaseweight >= 1e+09 )
{
int i;
for( i = 0; i < nvars; ++i )
{
nincreases[i] /= increaseweight;
ndecreases[i] /= increaseweight;
}
increaseweight = 1.0;
}
}
SCIPdebugMessage("shifting heuristic: -> nfrac=%d, nviolrows=%d, obj=%g (best possible obj: %g)\n",
nfrac, nviolrows, SCIPgetSolOrigObj(scip, sol), SCIPretransformObj(scip, minobj));
}
/* check, if the new solution is feasible */
if( nfrac == 0 && nviolrows == 0 )
{
SCIP_Bool stored;
/* check solution for feasibility, and add it to solution store if possible
* neither integrality nor feasibility of LP rows has to be checked, because this is already
* done in the shifting heuristic itself; however, we better check feasibility of LP rows,
* because of numerical problems with activity updating
*/
SCIP_CALL( SCIPtrySol(scip, sol, FALSE, FALSE, FALSE, TRUE, &stored) );
if( stored )
{
SCIPdebugMessage("found feasible shifted solution:\n");
SCIPdebug( SCIP_CALL( SCIPprintSol(scip, sol, NULL, FALSE) ) );
*result = SCIP_FOUNDSOL;
}
}
/* free memory buffers */
SCIPfreeBufferArray(scip, &ndecreases);
SCIPfreeBufferArray(scip, &nincreases);
SCIPfreeBufferArray(scip, &nfracsinrow);
SCIPfreeBufferArray(scip, &violrowpos);
SCIPfreeBufferArray(scip, &violrows);
SCIPfreeBufferArray(scip, &activities);
return SCIP_OKAY;
}
