/** create initial columns */
static
SCIP_RETCODE createInitialColumns(
SCIP* scip, /**< SCIP data structure */
SCIP_PROBDATA* probdata /**< problem data */
)
{
SCIP_CONS** conss;
SCIP_VARDATA* vardata;
SCIP_VAR* var;
char name[SCIP_MAXSTRLEN];
int* ids;
SCIP_Longint* weights;
int nitems;
int i;
conss = probdata->conss;
ids = probdata->ids;
weights = probdata->weights;
nitems = probdata->nitems;
/* create start solution each item in exactly one bin */
for( i = 0; i < nitems; ++i )
{
(void) SCIPsnprintf(name, SCIP_MAXSTRLEN, "item_%d", ids[i]);
SCIPdebugMessage("create variable for item %d with weight = %"SCIP_LONGINT_FORMAT"\n", ids[i], weights[i]);
/* create variable for the packing pattern which contains only this item */
SCIP_CALL( SCIPcreateVarBinpacking(scip, &var, name, 1.0, TRUE, TRUE, NULL) );
/* add variable to the problem */
SCIP_CALL( SCIPaddVar(scip, var) );
/* store variable in the problme data */
SCIP_CALL( SCIPprobdataAddVar(scip, probdata, var) );
/* add variable to corresponding set covering constraint */
SCIP_CALL( SCIPaddCoefSetppc(scip, conss[i], var) );
/* create the variable data for the variable; the variable data contains the information in which constraints the
* variable appears */
SCIP_CALL( SCIPvardataCreateBinpacking(scip, &vardata, &i, 1) );
/* add the variable data to the variable */
SCIPvarSetData(var, vardata);
/* 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) );
/* release variable */
SCIP_CALL( SCIPreleaseVar(scip, &var) );
}
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 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;
}