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fcits.cpp
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fcits.cpp
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/* SAS modified this file. */
/* (C) Copyright 2003 Jens Lysgaard. All rights reserved. */
/* OSI Certified Open Source Software */
/* This software is licensed under the Common Public License Version 1.0 */
#include <stdlib.h>
#include <stdio.h>
#include <math.h>
#include <time.h>
#include "memmod.h"
#include "basegrph.h"
#include "strngcmp.h"
#include "sort.h"
#include "binpack.h"
#include "cnstrmgr.h"
#include "tolerances.h"
typedef struct
{
int A;
int B;
double X;
} EdgeRec;
typedef EdgeRec *EdgePtr;
typedef struct
{
int PartitionSize;
ReachPtr PartitionPtr;
int EPtrSize;
int EPtrDim;
EdgePtr EPtr;
int ShrunkEdgeNr;
} TreeSearchRec;
typedef TreeSearchRec *TreeSearchPtr;
void FCITS_ComputeLHS(ReachPtr CompsRPtr,
int NoOfComps,
int NoOfSuperNodes,
double **FlowMatrix,
ReachPtr FlowRPtr,
double *LHS)
{
int i,j,k;
int *NodeLabel;
double *Boundary;
/* FlowPtr contains only edges between customers, not to the depot */
NodeLabel = MemGetIV(NoOfSuperNodes+1);
Boundary = MemGetDV(NoOfSuperNodes+1);
for (i=1; i<=NoOfSuperNodes; i++) NodeLabel[i] = 0;
for (i=0; i<=NoOfSuperNodes; i++) Boundary[i] = 0.0;
for (i=1; i<=NoOfComps; i++)
{
for (j=1; j<=CompsRPtr->LP[i].CFN; j++)
{
k = CompsRPtr->LP[i].FAL[j];
NodeLabel[k] = i;
}
}
for (i=1; i<=NoOfSuperNodes; i++)
{
for (j=1; j<=FlowRPtr->LP[i].CFN; j++)
{
k = FlowRPtr->LP[i].FAL[j];
if (k > i)
{
if (NodeLabel[k] != NodeLabel[i])
{
Boundary[NodeLabel[k]] += FlowMatrix[i][k];
//if(FlowMatrix[i][k] > 0)
// printf("Boundary[%d]: %g i:%d k:%d flow:%g\n",
// NodeLabel[k],Boundary[NodeLabel[k]],i,k,FlowMatrix[i][k]);
Boundary[NodeLabel[i]] += FlowMatrix[i][k];
//if(FlowMatrix[i][k] > 0)
// printf("Boundary[%d]: %g i:%d k:%d flow:%g\n",
// NodeLabel[i],Boundary[NodeLabel[i]],i,k,FlowMatrix[i][k]);
}
}
}
}
Boundary[0] = 0.0;
for (i=1; i<=NoOfSuperNodes; i++)
{
Boundary[0] += FlowMatrix[0][i];
//if(FlowMatrix[0][i] > 0)
// printf("Boundary[%d]: %g i:%d k:%d flow:%g\n",
// 0,Boundary[0],0,i,FlowMatrix[0][i]);
Boundary[NodeLabel[i]] += FlowMatrix[0][i];
//if(FlowMatrix[0][i] > 0)
// printf("Boundary[%d]: %g i:%d k:%d flow:%g\n",
// NodeLabel[i],Boundary[NodeLabel[i]],0,i,FlowMatrix[0][i]);
}
*LHS = 0.0;
for (i=0; i<=NoOfComps; i++){
*LHS += Boundary[i];
//printf("*LHS:%g Boundary[%d]:%g\n",*LHS,i,Boundary[i]);
}
MemFree(NodeLabel);
MemFree(Boundary);
}
void FCITS_ComputeRHS(ReachPtr PartitionPtr,
int PartitionSize,
double *SuperNodeDemand,
double CAP,
double *RHS)
{
int i,j,k;
int FullV,LB,UB;
int *Bin;
double *ItemSize;
ItemSize = MemGetDV(PartitionSize+1);
Bin = MemGetIV(PartitionSize+1);
FullV = 0;
for (i=1; i<=PartitionSize; i++)
{
ItemSize[i] = 0;
for (j=1; j<=PartitionPtr->LP[i].CFN; j++)
{
k = PartitionPtr->LP[i].FAL[j];
ItemSize[i] += SuperNodeDemand[k];
//printf("k:%d i:%d ItemSize:%d SuperNodeDemand:%d\n",
// k,i,ItemSize[i],SuperNodeDemand[k]);
}
while (ItemSize[i] > CAP)
{
FullV++;
ItemSize[i] -= CAP;
//printf("FullV=%d ItemSize=%d\n",FullV,ItemSize[i]);
}
}
SortDVDec(ItemSize,PartitionSize);
BP_ExactBinPacking(CAP,ItemSize,PartitionSize,&LB,&UB,Bin);
//MVG: rather than start at FullV=1 here, PartitionSize is added in directly,
// so, FullV is the number of additional vehicles required for all partitions
//but, it is not clear to me why that is 4.0 vs 2.0?
*RHS = (2.0 * (LB + PartitionSize)) + (4.0 * FullV);
//printf("RHS:%g LB:%d PartitionSize:%d FullV:%d\n",*RHS,LB,PartitionSize,FullV);
MemFree(ItemSize);
MemFree(Bin);
}
void FCITS_ShrinkPartition(int NoOfSuperNodes,
ReachPtr FlowPtr,
double **FlowMatrix,
ReachPtr PartitionPtr,
int PartitionSize,
int NodeA,
int NodeB,
ReachPtr NewPartitionPtr,
int *NewPartitionSize)
{
char *InSet, *CompInSet;
int *CompNr, *NodeList;
double *XValue;
int i,j,k;
int NewNode,NodeListSize;
InSet = MemGetCV(NoOfSuperNodes+1);
CompNr = MemGetIV(NoOfSuperNodes+1);
NodeList = MemGetIV(NoOfSuperNodes+1);
CompInSet = MemGetCV(PartitionSize+1);
XValue = MemGetDV(PartitionSize+1);
NodeListSize=0;
for (i=1; i<=NoOfSuperNodes; i++) InSet[i] = 0;
for (i=1; i<=PartitionPtr->LP[NodeA].CFN; i++)
{
j = PartitionPtr->LP[NodeA].FAL[i];
InSet[j]=1;
NodeList[++NodeListSize] = j;
}
for (i=1; i<=PartitionPtr->LP[NodeB].CFN; i++)
{
j = PartitionPtr->LP[NodeB].FAL[i];
InSet[j]=1;
NodeList[++NodeListSize] = j;
}
for (i=1; i<=PartitionSize; i++)
{
for (j=1; j<=PartitionPtr->LP[i].CFN; j++)
{
k = PartitionPtr->LP[i].FAL[j];
CompNr[k] = i;
}
}
for (i=1; i<=PartitionSize; i++) XValue[i] = 0.0;
for (i=1; i<=PartitionSize; i++) CompInSet[i] = 0;
CompInSet[NodeA] = 1;
CompInSet[NodeB] = 1;
do
{
for (i=1; i<=PartitionSize; i++) XValue[i] = 0.0;
for (i=1; i<=NoOfSuperNodes; i++)
{
if (InSet[i] == 0) continue;
for (j=1; j<=FlowPtr->LP[i].CFN; j++)
{
k = FlowPtr->LP[i].FAL[j];
if (InSet[k] == 0)
XValue[CompNr[k]] += FlowMatrix[i][k];
}
}
NewNode=0;
for (i=1; i<=PartitionSize; i++)
if (XValue[i] >= 0.99)
{
NewNode = i;
break;
}
if (NewNode > 0)
{
/* Induced shrinking */
for (i=1; i<=PartitionPtr->LP[NewNode].CFN; i++)
{
j = PartitionPtr->LP[NewNode].FAL[i];
InSet[j]=1;
NodeList[++NodeListSize] = j;
}
CompInSet[NewNode] = 1;
}
} while (NewNode > 0);
ReachClearLists(NewPartitionPtr);
ReachSetForwList(NewPartitionPtr,NodeList,1,NodeListSize);
*NewPartitionSize = 1;
for (i=1; i<=PartitionSize; i++)
{
if (CompInSet[i] == 0)
{
(*NewPartitionSize)++;
ReachSetForwList(NewPartitionPtr,
PartitionPtr->LP[i].FAL,
*NewPartitionSize,
PartitionPtr->LP[i].CFN);
}
}
MemFree(InSet);
MemFree(CompNr);
MemFree(NodeList);
MemFree(CompInSet);
MemFree(XValue);
}
void FCITS_CreateEPtrForPartition(int NoOfSuperNodes,
ReachPtr FlowPtr,
double **FlowMatrix,
ReachPtr PartitionPtr,
int PartitionSize,
int Level,
TreeSearchPtr TreePtr)
{
int i,j,k;
int EdgeNr,EdgeDim,TotalEdges;
double XValue;
int *NodeLabel;
int *EdgeIndex;
double *EdgeValue;
double **EdgeMatrix;
EdgePtr TmpEdgePtr;
NodeLabel = MemGetIV(NoOfSuperNodes+1);
EdgeMatrix = MemGetDM(PartitionSize+1,PartitionSize+1);
for (i=0; i<=PartitionSize; i++)
for (j=0; j<=PartitionSize; j++)
EdgeMatrix[i][j] = 0.0;
for (i=1; i<=PartitionSize; i++)
{
for (j=1; j<=PartitionPtr->LP[i].CFN; j++)
{
k = PartitionPtr->LP[i].FAL[j];
NodeLabel[k] = i;
}
}
EdgeDim = 0;
for (i=1; i<=NoOfSuperNodes; i++)
{
for (j=1; j<=FlowPtr->LP[i].CFN; j++)
{
k = FlowPtr->LP[i].FAL[j];
if (k > i)
{
if (NodeLabel[k] != NodeLabel[i])
{
XValue = FlowMatrix[i][k];
EdgeMatrix[NodeLabel[i]][NodeLabel[k]] += XValue;
EdgeMatrix[NodeLabel[k]][NodeLabel[i]] += XValue;
EdgeDim++;
}
}
}
}
TmpEdgePtr = (EdgePtr) MemGet(sizeof(EdgeRec)*(EdgeDim+1));
EdgeIndex = MemGetIV(EdgeDim+1);
EdgeValue = MemGetDV(EdgeDim+1);
EdgeNr = 0;
for (i=1; i<PartitionSize; i++)
for (j=i+1; j<=PartitionSize; j++)
{
if (EdgeMatrix[i][j] >= 0.001)
{
EdgeNr++;
TmpEdgePtr[EdgeNr].A = i;
TmpEdgePtr[EdgeNr].B = j;
TmpEdgePtr[EdgeNr].X = EdgeMatrix[i][j];
EdgeValue[EdgeNr] = TmpEdgePtr[EdgeNr].X;
}
}
TotalEdges = EdgeNr;
for (i=1; i<=TotalEdges; i++) EdgeIndex[i] = i;
SortIndexDVDec(EdgeIndex,EdgeValue,TotalEdges);
if (TreePtr[Level].EPtrDim < TotalEdges)
{
TreePtr[Level].EPtr = (EdgePtr) MemReGet(TreePtr[Level].EPtr,
sizeof(EdgeRec)*(TotalEdges+1));
TreePtr[Level].EPtrDim = TotalEdges;
}
TreePtr[Level].EPtrSize = TotalEdges;
for (i=1; i<=TotalEdges; i++)
{
j = EdgeIndex[i];
TreePtr[Level].EPtr[i].A = TmpEdgePtr[j].A;
TreePtr[Level].EPtr[i].B = TmpEdgePtr[j].B;
TreePtr[Level].EPtr[i].X = TmpEdgePtr[j].X;
}
MemFree(NodeLabel);
MemFreeDM(EdgeMatrix,PartitionSize+1);
MemFree(TmpEdgePtr);
MemFree(EdgeIndex);
MemFree(EdgeValue);
}
void FCITS_CheckForDominance(int NoOfSuperNodes,
int CurrentLevel,
TreeSearchPtr TreePtr,
char *Dominated)
{
int i,j;
int Level,EdgeNr;
int NodeA,NodeB,SuperNodeA,SuperNodeB;
char *InSet;
InSet = MemGetCV(NoOfSuperNodes+1);
for (i=1; i<=NoOfSuperNodes; i++) InSet[i] = 0;
*Dominated = 0;
/* Check only at index 1 in PartitionPtr. */
for (i=1; i<=TreePtr[CurrentLevel].PartitionPtr->LP[1].CFN; i++)
{
j = TreePtr[CurrentLevel].PartitionPtr->LP[1].FAL[i];
InSet[j] = 1;
}
for (Level=CurrentLevel-1; Level>=0; Level--)
{
for (EdgeNr=1; EdgeNr<TreePtr[Level].ShrunkEdgeNr; EdgeNr++)
{
NodeA = TreePtr[Level].EPtr[EdgeNr].A;
NodeB = TreePtr[Level].EPtr[EdgeNr].B;
SuperNodeA = TreePtr[Level].PartitionPtr->LP[NodeA].FAL[1];
SuperNodeB = TreePtr[Level].PartitionPtr->LP[NodeB].FAL[1];
if ((InSet[SuperNodeA]) && (InSet[SuperNodeB]))
{
*Dominated = 1;
goto EndOfDominanceCheck;
}
}
}
EndOfDominanceCheck:
MemFree(InSet);
}
void FCITS_TreeSearch(int NoOfSuperNodes,
double CAP,
double *SuperNodeDemand,
double **FlowMatrix,
ReachPtr FlowRPtr,
int MaxCuts,
int MaxFCITSLoops,
int *GeneratedCuts,
double EpsViolation,
double *MaxViolation,
double *CutsRHS,
ReachPtr CutsRPtr)
{
char Backtrack;
char BacktrackOnSlack;
char BacktrackOnViolation;
char Dominated;
int i,j,k;
int EdgeNr;
int MaxLevel,TotalEdges,ListSize,CutNr;
int Level,TSLoopNr;
double LHS,RHS,Violation,Eps;
int *EdgeIndex, *SuperNodeList, *SetSize;
double *EdgeValue;
double *LevelViolation;
EdgePtr TmpEdgePtr;
TreeSearchPtr TreePtr;
CutNr = 0;
Eps = EpsViolation;
MaxLevel = NoOfSuperNodes-2;
TotalEdges = 0;
for (i=1; i<=NoOfSuperNodes; i++) TotalEdges += FlowRPtr->LP[i].CFN;
TotalEdges /= 2;
/* Prepare the partition at the root node (level 0) */
SuperNodeList = MemGetIV(NoOfSuperNodes+1);
SetSize = MemGetIV(NoOfSuperNodes+1);
LevelViolation = MemGetDV(MaxLevel+1);
TmpEdgePtr = (EdgePtr) MemGet(sizeof(EdgeRec)*(TotalEdges+1));
EdgeIndex = MemGetIV(TotalEdges+1);
EdgeValue = MemGetDV(TotalEdges+1);
TreePtr = (TreeSearchPtr) MemGet(sizeof(TreeSearchRec)*(MaxLevel+1));
TreePtr[0].EPtr = (EdgePtr) MemGet(sizeof(EdgeRec)*(TotalEdges+1));
TreePtr[0].EPtrSize = TotalEdges;
TreePtr[0].EPtrDim = TotalEdges;
for (i=1; i<=MaxLevel; i++)
{
TreePtr[i].EPtrSize = 0;
TreePtr[i].EPtrDim = 0;
TreePtr[i].EPtr = NULL;
}
for (i=0; i<=MaxLevel; i++)
ReachInitMem(&(TreePtr[i].PartitionPtr),NoOfSuperNodes);
EdgeNr = 0;
for (i=1; i<=NoOfSuperNodes; i++)
{
for (j=1; j<=FlowRPtr->LP[i].CFN; j++)
{
k = FlowRPtr->LP[i].FAL[j];
if (k > i)
{
EdgeNr++;
TmpEdgePtr[EdgeNr].A = i;
TmpEdgePtr[EdgeNr].B = k;
TmpEdgePtr[EdgeNr].X = FlowMatrix[i][k];
EdgeValue[EdgeNr] = TmpEdgePtr[EdgeNr].X;
}
}
}
for (i=1; i<=TotalEdges; i++) EdgeIndex[i] = i;
SortIndexDVDec(EdgeIndex,EdgeValue,TotalEdges);
for (i=1; i<=TotalEdges; i++)
{
j = EdgeIndex[i];
TreePtr[0].EPtr[i].A = TmpEdgePtr[j].A;
TreePtr[0].EPtr[i].B = TmpEdgePtr[j].B;
TreePtr[0].EPtr[i].X = TmpEdgePtr[j].X;
}
for (i=1; i<=NoOfSuperNodes; i++)
{
SuperNodeList[1] = i;
ListSize = 1;
ReachSetForwList(TreePtr[0].PartitionPtr,SuperNodeList,i,ListSize);
}
FCITS_ComputeLHS(TreePtr[0].PartitionPtr,
NoOfSuperNodes,
NoOfSuperNodes,
FlowMatrix,
FlowRPtr,
&LHS);
FCITS_ComputeRHS(TreePtr[0].PartitionPtr,
NoOfSuperNodes,
SuperNodeDemand,
CAP,
&RHS);
Violation = RHS - LHS;
LevelViolation[0] = Violation;
if (Violation >= Eps)
{
ListSize = 0;
//printf("Violation:%g CutNr:%d\n",Violation,CutNr);
for (i=1; i<=NoOfSuperNodes; i++)
{
SetSize[i] = 1;
SuperNodeList[++ListSize] = i;
}
CutNr++;
ReachSetForwList(CutsRPtr,SuperNodeList,CutNr,ListSize);
ReachSetBackwList(CutsRPtr,SetSize,CutNr,NoOfSuperNodes);
CutsRHS[CutNr] = RHS;
if (Violation > *MaxViolation)
*MaxViolation = Violation;
goto EndOfTreeSearch;
}
/* Begin tree search */
TreePtr[0].PartitionSize = NoOfSuperNodes;
TreePtr[0].EPtrSize = TotalEdges;
TreePtr[0].EPtrDim = TotalEdges;
TreePtr[0].ShrunkEdgeNr = 0;
Level=0;
TSLoopNr=0;
BacktrackOnSlack=0;
BacktrackOnViolation=0;
Dominated=0;
do
{
TSLoopNr++;
do
{
/* Find next level from which to shrink and the edge to shrink
from this level */
Backtrack=0;
if (BacktrackOnSlack==1)
{
Backtrack=1;
BacktrackOnSlack=0;
}
else
if (BacktrackOnViolation==1)
{
Backtrack=1;
BacktrackOnViolation=0;
}
else
if (Level >= MaxLevel)
{
Backtrack=1;
}
else
if (TreePtr[Level].PartitionSize < 2)
{
Backtrack=1;
}
else
if (TreePtr[Level].ShrunkEdgeNr >= TreePtr[Level].EPtrSize)
{
Backtrack=1;
}
else
if (Dominated==1)
{
Backtrack=1;
Dominated=0;
}
if (Backtrack==1)
{
Level--;
if (Level < 0)
goto EndOfTreeSearch;
}
} while (Backtrack==1);
if (Level >= MaxLevel)
goto EndOfTreeSearch;
(TreePtr[Level].ShrunkEdgeNr)++;
j = TreePtr[Level].ShrunkEdgeNr;
FCITS_ShrinkPartition(NoOfSuperNodes,
FlowRPtr,
FlowMatrix,
TreePtr[Level].PartitionPtr,
TreePtr[Level].PartitionSize,
TreePtr[Level].EPtr[j].A,
TreePtr[Level].EPtr[j].B,
TreePtr[Level+1].PartitionPtr,
&(TreePtr[Level+1].PartitionSize));
TreePtr[Level+1].ShrunkEdgeNr = 0;
/* Proceed to next level */
Level++;
if (TreePtr[Level].PartitionSize < 2)
{
continue;
}
/* Check for dominance */
FCITS_CheckForDominance(NoOfSuperNodes,
Level,
TreePtr,
&Dominated);
if (Dominated)
{
continue;
}
FCITS_CreateEPtrForPartition(NoOfSuperNodes,
FlowRPtr,
FlowMatrix,
TreePtr[Level].PartitionPtr,
TreePtr[Level].PartitionSize,
Level,
TreePtr);
FCITS_ComputeLHS(TreePtr[Level].PartitionPtr,
TreePtr[Level].PartitionSize,
NoOfSuperNodes,
FlowMatrix,
FlowRPtr,
&LHS);
FCITS_ComputeRHS(TreePtr[Level].PartitionPtr,
TreePtr[Level].PartitionSize,
SuperNodeDemand,
CAP,
&RHS);
Violation = RHS - LHS;
LevelViolation[Level] = Violation;
if (Violation >= Eps)
{
//printf("Violation:%g\n",Violation);
ListSize = 0;
for (i=1; i<=TreePtr[Level].PartitionSize; i++)
{
SetSize[i] = TreePtr[Level].PartitionPtr->LP[i].CFN;
for (j=1; j<=SetSize[i]; j++)
{
k = TreePtr[Level].PartitionPtr->LP[i].FAL[j];
SuperNodeList[++ListSize] = k;
}
}
CutNr++;
ReachSetForwList(CutsRPtr,SuperNodeList,CutNr,ListSize);
ReachSetBackwList(CutsRPtr,SetSize,CutNr,
TreePtr[Level].PartitionSize);
CutsRHS[CutNr] = RHS;
if (Violation > *MaxViolation)
*MaxViolation = Violation;
if (CutNr >= MaxCuts) goto EndOfTreeSearch;
BacktrackOnViolation = 1;
}
else
if (Violation <= -2.0)
{
BacktrackOnSlack=1;
}
} while (TSLoopNr < MaxFCITSLoops);
EndOfTreeSearch:
*GeneratedCuts = CutNr;
MemFree(SuperNodeList);
MemFree(SetSize);
MemFree(LevelViolation);
MemFree(TmpEdgePtr);
MemFree(EdgeIndex);
MemFree(EdgeValue);
for (i=0; i<=MaxLevel; i++)
{
if (TreePtr[i].EPtr != NULL)
MemFree(TreePtr[i].EPtr);
ReachFreeMem(&(TreePtr[i].PartitionPtr));
}
MemFree(TreePtr);
}
void FCITS_ComputeFlowMatrix(ReachPtr SupportPtr,
int NoOfCustomers,
double **XMatrix,
ReachPtr SuperNodesRPtr,
int NoOfSuperNodes,
double **FlowMatrix)
{
int i,j,k;
int *NodeLabel;
NodeLabel = MemGetIV(NoOfCustomers+2);
for (i=1; i<=NoOfCustomers+1; i++) NodeLabel[i] = 0;
for (i=1; i<=NoOfSuperNodes; i++)
{
for (j=1; j<=SuperNodesRPtr->LP[i].CFN; j++)
{
k = SuperNodesRPtr->LP[i].FAL[j];
NodeLabel[k] = i;
}
}
for (i=0; i<=NoOfSuperNodes; i++)
for (j=0; j<=NoOfSuperNodes; j++)
FlowMatrix[i][j] = 0.0;
for (i=1; i<=NoOfCustomers; i++)
{
for (j=1; j<=SupportPtr->LP[i].CFN; j++)
{
k = SupportPtr->LP[i].FAL[j];
if (k > i)
{
if (NodeLabel[k] != NodeLabel[i])
{
FlowMatrix[NodeLabel[i]][NodeLabel[k]] += XMatrix[i][k];
FlowMatrix[NodeLabel[k]][NodeLabel[i]] += XMatrix[i][k];
FlowMatrix[NodeLabel[i]][NodeLabel[i]] += XMatrix[i][k];
FlowMatrix[NodeLabel[k]][NodeLabel[k]] += XMatrix[i][k];
}
}
}
}
MemFree(NodeLabel);
}
void FCITS_MainCutGen(ReachPtr SupportPtr,
int NoOfCustomers,
const double *Demand,
double CAP,
double **XMatrix,
ReachPtr InitSuperNodesRPtr,
ReachPtr InitSAdjRPtr,
double *InitSuperDemand,
int InitShrunkGraphCustNodes,
int MaxFCITSLoops,
int MaxNoOfCuts,
double EpsViolation,
double *MaxViolation,
int *NoOfGeneratedCuts,
CnstrMgrPointer CutsCMP)
{
int i,j,k,Idx,MinIdx,MaxIdx;
int CompNr;
double CompDemand;
int CustNodes,DepotDegree,NoOfComponents;
int WrkNoOfSuperNodes;
int NodeListSize;
int MaxCuts,GeneratedCuts;
int NoOfSets,SetNr,CutNr;
int GlobalCutNr;
double MaxFCIViolation;
char *CVWrk1;
int *IVWrk1, *IVWrk2, *IVWrk3, *IVWrk4;
char *InitSuperNodeInComp;
double *WrkSuperNodeDemand;
int *NodeList;
int *SetSize;
double *CutsRHS;
double **FlowMatrix;
ReachPtr CompsRPtr;
ReachPtr WrkSuperNodesRPtr;
ReachPtr FlowRPtr;
ReachPtr CutsRPtr;
MaxCuts = MaxNoOfCuts;
ReachInitMem(&CutsRPtr,MaxCuts);
CutsRHS = MemGetDV(MaxCuts+1);
GlobalCutNr = 0;
MaxFCIViolation = 0.0;
CustNodes = InitShrunkGraphCustNodes;
CVWrk1 = MemGetCV(CustNodes+2);
IVWrk1 = MemGetIV(CustNodes+2);
IVWrk2 = MemGetIV(CustNodes+2);
IVWrk3 = MemGetIV(CustNodes+2);
IVWrk4 = MemGetIV(CustNodes+2);
InitSuperNodeInComp = MemGetCV(CustNodes+2);
WrkSuperNodeDemand = MemGetDV(CustNodes+2);
NodeList = MemGetIV(NoOfCustomers+1);
SetSize = MemGetIV(CustNodes+2);
FlowMatrix = MemGetDM(CustNodes+1,CustNodes+1);
ReachInitMem(&CompsRPtr,CustNodes+1);
ReachInitMem(&WrkSuperNodesRPtr,CustNodes);
ReachInitMem(&FlowRPtr,CustNodes);
DepotDegree = InitSAdjRPtr->LP[CustNodes+1].CFN;
InitSAdjRPtr->LP[CustNodes+1].CFN = 0;
ComputeStrongComponents(InitSAdjRPtr,CompsRPtr,
&NoOfComponents,CustNodes+1,
CVWrk1,
IVWrk1,IVWrk2,IVWrk3,IVWrk4);
InitSAdjRPtr->LP[CustNodes+1].CFN = DepotDegree;
for (CompNr=1; CompNr<=NoOfComponents; CompNr++)
{
if (MaxCuts <= 0) break;
if (CompsRPtr->LP[CompNr].CFN == 1) continue;
CompDemand = 0;
for (i=1; i<=CompsRPtr->LP[CompNr].CFN; i++)
{
j = CompsRPtr->LP[CompNr].FAL[i];
CompDemand += InitSuperDemand[j];
}
if (CompDemand <= CAP) continue;
for (i=1; i<=InitShrunkGraphCustNodes; i++)
InitSuperNodeInComp[i] = 0;
for (i=1; i<=CompsRPtr->LP[CompNr].CFN; i++)
{
j = CompsRPtr->LP[CompNr].FAL[i];
InitSuperNodeInComp[j] = 1;
}
j=0;
ReachClearLists(WrkSuperNodesRPtr);
for (i=1; i<=InitShrunkGraphCustNodes; i++)
{
if (InitSuperNodeInComp[i] == 1)
{
j++;
ReachSetForwList(WrkSuperNodesRPtr,
InitSuperNodesRPtr->LP[i].FAL,
j,
InitSuperNodesRPtr->LP[i].CFN);
}
}
WrkNoOfSuperNodes = j;
FCITS_ComputeFlowMatrix(SupportPtr,
NoOfCustomers,
XMatrix,
WrkSuperNodesRPtr,
WrkNoOfSuperNodes,
FlowMatrix);
for (i=1; i<=WrkNoOfSuperNodes; i++)
{
NodeListSize = 0;
for (j=1; j<=WrkNoOfSuperNodes; j++)
if (j != i)
if (FlowMatrix[i][j] >= EpsZero)
{
NodeList[++NodeListSize] = j;
}
if (NodeListSize > 0)
{
ReachSetForwList(FlowRPtr,
NodeList,
i,
NodeListSize);
}
}
for (i=1; i<=InitShrunkGraphCustNodes; i++)
WrkSuperNodeDemand[i] = 0;
for (k=1; k<=WrkNoOfSuperNodes; k++)
{
for (i=1; i<=WrkSuperNodesRPtr->LP[k].CFN; i++)
{
j = WrkSuperNodesRPtr->LP[k].FAL[i];
WrkSuperNodeDemand[k] += Demand[j];
}
}
FCITS_TreeSearch(WrkNoOfSuperNodes,
CAP,
WrkSuperNodeDemand,
FlowMatrix,
FlowRPtr,
MaxCuts,
MaxFCITSLoops,
&GeneratedCuts,
EpsViolation,
&MaxFCIViolation,
CutsRHS,
CutsRPtr);
if (GeneratedCuts > 0)
{
MaxCuts -= GeneratedCuts;
for (CutNr=1; CutNr<=GeneratedCuts; CutNr++)
{
NodeListSize = 0;
MaxIdx = 0;
NoOfSets = CutsRPtr->LP[CutNr].CBN;
for (SetNr=1; SetNr<=NoOfSets; SetNr++)
{
MinIdx = MaxIdx+1;
MaxIdx = MinIdx + CutsRPtr->LP[CutNr].BAL[SetNr] - 1;
SetSize[SetNr] = 0;
for (Idx=MinIdx; Idx<=MaxIdx; Idx++)
{
i = CutsRPtr->LP[CutNr].FAL[Idx];
for (j=1; j<=WrkSuperNodesRPtr->LP[i].CFN; j++)
{
k = WrkSuperNodesRPtr->LP[i].FAL[j];
NodeList[++NodeListSize] = k;
(SetSize[SetNr])++;
}
}
}
//printf("Add constraint %d NoOfSets:%d\n",CutNr,NoOfSets);
CMGR_AddExtCnstr(CutsCMP,