//===========================================================================//
DecompConstraintSet * ATM_DecompApp::createModelRelax2(const int d){
UtilPrintFuncBegin(m_osLog, m_classTag,
"createModelRelax2()", m_appParam.LogLevel, 2);
int a, t, nRows, pairIndex, nRowsMax;
double rhs, coefA, coefC;
pair<int,int> adP;
vector<int>::const_iterator vi;
const int nSteps = m_appParam.NumSteps;
const int nAtms = m_instance.getNAtms();
const vector<int> & pairsAD = m_instance.getPairsAD();
const double * a_ad = m_instance.get_a_ad(); //dense storage
const double * b_ad = m_instance.get_b_ad(); //dense storage
const double * c_ad = m_instance.get_c_ad(); //dense storage
const double * d_ad = m_instance.get_d_ad(); //dense storage
const double * e_ad = m_instance.get_e_ad(); //dense storage
const double * w_ad = m_instance.get_w_ad(); //dense storage
const double * B_d = m_instance.get_B_d();
const int nCols = numCoreCols();
if(m_appParam.UseTightModel)
nRowsMax = 3*nAtms + 1 + getNAtmsSteps();
else
nRowsMax = 2*nAtms + 1 + (3*getNAtmsSteps());
//---
//--- A'[d] for d in D (independent blocks)
//--- for a in A
//--- f+[a,d] - f-[a,d] =
//--- a[a,d] sum{t in T} (t/n) x1[a,t] +
//--- b[a,d] x2[a] +
//--- c[a,d] sum{t in T} (t/n) z[a,t] +
//--- d[a,d] x3[a] +
//--- e[a,d]
//--- f-[a,d] <= w[a,d] * v[a,d]
//--- sum{a in A} (f+[a,d] - f-[a,d]) <= B[d]
//--- for a in A, t in T:
//--- z[a,t] <= x1[a,t],
//--- z[a,t] <= x2[a],
//--- z[a,t] >= x1[a,t] + x2[a] - 1.
//---
DecompConstraintSet * model = new DecompConstraintSet();
CoinAssertHint(model, "Error: Out of Memory");
model->M = new CoinPackedMatrix(false, 0.0, 0.0);
CoinAssertHint(model->M, "Error: Out of Memory");
model->M->setDimensions(0, nCols);
model->reserve(nRowsMax, nCols);
CoinPackedVector rowBudget;
nRows = 0;
pairIndex = 0;
for(vi = pairsAD.begin(); vi != pairsAD.end(); vi++){
adP = m_instance.getIndexADInv(*vi);
if(d != adP.second){
pairIndex++;
continue;
}
a = adP.first;
//---
//--- sum{a in A} (f+[a,d] - f-[a,d]) <= B[d]
//---
rowBudget.insert(getColOffset_fp() + pairIndex, 1.0);
rowBudget.insert(getColOffset_fm() + pairIndex, -1.0);
//---
//--- f+[a,d] - f-[a,d] =
//--- a[a,d] sum{t in T} (t/n) x1[a,t] +
//--- b[a,d] x2[a] +
//--- c[a,d] sum{t in T} (t/n) z[a,t] +
//--- d[a,d] x3[a] +
//--- e[a,d]
//---
CoinPackedVector row;
string rowName = "demand_def(a_"
+ m_instance.getAtmName(a) + ",d_"
+ m_instance.getDateName(d) + ")";
row.insert(colIndex_fp(pairIndex), 1.0);
row.insert(colIndex_fm(pairIndex), -1.0);
coefA = -a_ad[*vi] / nSteps;
coefC = -c_ad[*vi] / nSteps;
if(m_appParam.UseTightModel){
for(t = 0; t <= nSteps; t++){
row.insert(colIndex_x1(a,t), t * coefA);
row.insert(colIndex_z (a,t), t * coefC);
}
}
else{
for(t = 0; t < nSteps; t++){
row.insert(colIndex_x1(a,t), (t+1) * coefA);
row.insert(colIndex_z (a,t), (t+1) * coefC);
}
}
row.insert(colIndex_x2(a), -b_ad[*vi]);
row.insert(colIndex_x3(a), -d_ad[*vi]);
rhs = e_ad[*vi];
model->appendRow(row, rhs, rhs, rowName);
nRows++;
//---
//--- f-[a,d] <= w[a,d] * v[a,d]
//---
CoinPackedVector rowLink;
string rowNameLink = "linkv(a_"
+ m_instance.getAtmName(a) + ",d_"
+ m_instance.getDateName(d) + ")";
rowLink.insert(colIndex_fm(pairIndex), 1.0);
rowLink.insert(colIndex_v (pairIndex), -w_ad[*vi]);
model->appendRow(rowLink, -DecompInf, 0.0, rowNameLink);
nRows++;
pairIndex++;
}
string rowNameBudget = "budget(d_" + m_instance.getDateName(d) + ")";
model->appendRow(rowBudget, -DecompInf, B_d[d], rowNameBudget);
nRows++;
for(a = 0; a < nAtms; a++)
nRows += createConZtoX(model, a);
assert(nRows <= nRowsMax);
//---
//--- create model columns
//---
createModelColumns(model, -1, d);
UtilPrintFuncEnd(m_osLog, m_classTag,
"createModelRelax2()", m_appParam.LogLevel, 2);
return model;
}
//===========================================================================//
DecompConstraintSet * ATM_DecompApp::createModelRelaxCount(){
UtilPrintFuncBegin(m_osLog, m_classTag,
"createModelRelaxCount()", m_appParam.LogLevel, 2);
int a, d, t, nRows, pairIndex, nRowsMax;
double rhs, coefA, coefC;
pair<int,int> adP;
vector<int>::const_iterator vi;
const int nSteps = m_appParam.NumSteps;
const int nAtms = m_instance.getNAtms();
const int nDates = m_instance.getNDates();
const int nPairs = m_instance.getNPairs();
const int nAtmsSteps = getNAtmsSteps();
const vector<int> & pairsAD = m_instance.getPairsAD();
const double * a_ad = m_instance.get_a_ad(); //dense storage
const double * b_ad = m_instance.get_b_ad(); //dense storage
const double * c_ad = m_instance.get_c_ad(); //dense storage
const double * d_ad = m_instance.get_d_ad(); //dense storage
const double * e_ad = m_instance.get_e_ad(); //dense storage
const double * w_ad = m_instance.get_w_ad(); //dense storage
const double * B_d = m_instance.get_B_d();
const int nCols = numCoreCols();
if(m_appParam.UseTightModel)
nRowsMax = nDates + 2*nAtms + nAtmsSteps + 2*nPairs;
else
nRowsMax = nDates + nAtms + 3*nAtmsSteps + 2*nPairs;
//TODO:
// try the nested idea - so master has ConZtoX and we price without that
// but we solve with gap the harder oracle with those constraints
//---
//--- A' (relax):
//--- for d in D:
//--- sum{a in A} (f+[a,d] - f-[a,d]) <= B[d] <---- makes it hard
//OPT
//--- for a in A:
//--- sum{t in T} x1[a,t] <= 1
//OPT
//--- for a in A, t in T:
//--- z[a,t] <= x1[a,t],
//--- z[a,t] <= x2[a],
//--- z[a,t] >= x1[a,t] + x2[a] - 1.
//--- for a in A, d in D:
//--- f+[a,d] - f-[a,d] =
//--- a[a,d] sum{t in T} (t/n) x1[a,t] +
//--- b[a,d] x2[a] +
//--- c[a,d] sum{t in T} (t/n) z[a,t] +
//--- d[a,d] x3[a] +
//--- e[a,d]
//--- f-[a,d] <= w[a,d] * v[a,d]
//---
DecompConstraintSet * model = new DecompConstraintSet();
CoinAssertHint(model, "Error: Out of Memory");
model->M = new CoinPackedMatrix(false, 0.0, 0.0);
CoinAssertHint(model->M, "Error: Out of Memory");
model->M->setDimensions(0, nCols);
model->reserve(nRowsMax, nCols);
//---
//--- create nDates empty rowBudget packed vectors
//---
vector<CoinPackedVector> rowBudget;
for(d = 0; d < nDates; d++){
CoinPackedVector row;
rowBudget.push_back(row);
}
nRows = 0;
pairIndex = 0;
for(vi = pairsAD.begin(); vi != pairsAD.end(); vi++){
adP = m_instance.getIndexADInv(*vi);
a = adP.first;
d = adP.second;
//---
//--- sum{a in A} (f+[a,d] - f-[a,d]) <= B[d]
//---
rowBudget[d].insert(getColOffset_fp() + pairIndex, 1.0);
rowBudget[d].insert(getColOffset_fm() + pairIndex, -1.0);
//---
//--- f+[a,d] - f-[a,d] =
//--- a[a,d] sum{t in T} (t/n) x1[a,t] +
//--- b[a,d] x2[a] +
//--- c[a,d] sum{t in T} (t/n) z[a,t] +
//--- d[a,d] x3[a] +
//--- e[a,d]
//---
CoinPackedVector row;
string rowName = "demand_def(a_"
+ m_instance.getAtmName(a) + ",d_"
+ m_instance.getDateName(d) + ")";
row.insert(colIndex_fp(pairIndex), 1.0);
row.insert(colIndex_fm(pairIndex), -1.0);
coefA = -a_ad[*vi] / nSteps;
coefC = -c_ad[*vi] / nSteps;
if(m_appParam.UseTightModel){
for(t = 0; t <= nSteps; t++){
row.insert(colIndex_x1(a,t), t * coefA);
row.insert(colIndex_z (a,t), t * coefC);
}
}
else{
for(t = 0; t < nSteps; t++){
row.insert(colIndex_x1(a,t), (t+1) * coefA);
row.insert(colIndex_z (a,t), (t+1) * coefC);
}
}
row.insert(colIndex_x2(a), -b_ad[*vi]);
row.insert(colIndex_x3(a), -d_ad[*vi]);
rhs = e_ad[*vi];
model->appendRow(row, rhs, rhs, rowName);
nRows++;
//---
//--- f-[a,d] <= w[a,d] * v[a,d]
//---
CoinPackedVector rowLink;
string rowNameLink = "linkv(a_"
+ m_instance.getAtmName(a) + ",d_"
+ m_instance.getDateName(d) + ")";
rowLink.insert(colIndex_fm(pairIndex), 1.0);
rowLink.insert(colIndex_v (pairIndex), -w_ad[*vi]);
model->appendRow(rowLink, -DecompInf, 0.0, rowNameLink);
nRows++;
pairIndex++;
}
for(d = 0; d < nDates; d++){
string rowNameBudget = "budget(d_" + m_instance.getDateName(d) + ")";
model->appendRow(rowBudget[d], -DecompInf, B_d[d], rowNameBudget);
nRows++;
}
//---
//--- for a in A:
//--- sum{t in T} x1[a,t] <= 1
//--- for a in A, t in T:
//--- z[a,t] <= x1[a,t],
//--- z[a,t] <= x2[a],
//--- z[a,t] >= x1[a,t] + x2[a] - 1.
//---
//THINK: if you use this, shouldn't we postprocess z=x1*x2?
// putting those constaints in master are unneccessary...
// in fact, why not just do that in block version too...
//for(a = 0; a < nAtms; a++){
//nRows += createConZtoX(model, a);
//nRows += createConPickOne(model, a);
//}
assert(nRows <= nRowsMax);
//---
//--- create model columns
//---
createModelColumns(model);
UtilPrintFuncEnd(m_osLog, m_classTag,
"createModelRelaxCount()", m_appParam.LogLevel, 2);
return model;
}
//===========================================================================//
DecompConstraintSet * ATM_DecompApp::createModelCore1(bool includeCount){
UtilPrintFuncBegin(m_osLog, m_classTag,
"createModelCore1()", m_appParam.LogLevel, 2);
int a, d, pairIndex;
pair<int,int> adP;
vector<int>::const_iterator vi;
const int nAtms = m_instance.getNAtms();
const int nDates = m_instance.getNDates();
const vector<int> & pairsAD = m_instance.getPairsAD();
const double * B_d = m_instance.get_B_d();
const int nCols = numCoreCols();
int nRows = nDates;
if(includeCount)
nRows += nAtms;
DecompConstraintSet * model = new DecompConstraintSet();
CoinAssertHint(model, "Error: Out of Memory");
model->M = new CoinPackedMatrix(false, 0.0, 0.0);
CoinAssertHint(model->M, "Error: Out of Memory");
model->M->setDimensions(0, nCols);
model->reserve(nRows, nCols);
//---
//--- for d in D:
//--- sum{a in A} (f+[a,d] - f-[a,d]) <= B[d]
//---
CoinPackedVector * rowsD = new CoinPackedVector[nDates];
pairIndex = 0;
for(vi = pairsAD.begin(); vi != pairsAD.end(); vi++){
adP = m_instance.getIndexADInv(*vi);
a = adP.first;
d = adP.second;
rowsD[d].insert(getColOffset_fp() + pairIndex, 1.0);
rowsD[d].insert(getColOffset_fm() + pairIndex, -1.0);
pairIndex++;
}
for(d = 0; d < nDates; d++){
string rowName = "budget(d_"
+ m_instance.getDateName(d) + ")";
model->appendRow(rowsD[d], -DecompInf, B_d[d], rowName);
}
UTIL_DELARR(rowsD);
if(includeCount){
//--- for a in A:
//--- sum{d in D} v[a,d] <= K[a]
//---
for(a = 0; a < nAtms; a++){
createConCount(model, a);
}
}
//---
//--- create model columns
//---
createModelColumns(model);
UtilPrintFuncEnd(m_osLog, m_classTag,
"createModelCore1()", m_appParam.LogLevel, 2);
return model;
}