/*
Randomized Rounding Heuristic
Returns 1 if solution, 0 if not
*/
int
CbcHeuristicRandRound::solution(double & solutionValue,
double * betterSolution)
{
// rlh: Todo: Memory Cleanup
// std::cout << "Entering the Randomized Rounding Heuristic" << std::endl;
setWhen(1); // setWhen(1) didn't have the effect I expected (e.g., run once).
// Run only once.
//
// See if at root node
bool atRoot = model_->getNodeCount() == 0;
int passNumber = model_->getCurrentPassNumber();
// Just do once
if (!atRoot || passNumber > 1) {
// std::cout << "Leaving the Randomized Rounding Heuristic" << std::endl;
return 0;
}
std::cout << "Entering the Randomized Rounding Heuristic" << std::endl;
typedef struct {
int numberSolutions;
int maximumSolutions;
int numberColumns;
double ** solution;
int * numberUnsatisfied;
} clpSolution;
double start = CoinCpuTime();
numCouldRun_++; //
#ifdef HEURISTIC_INFORM
printf("Entering heuristic %s - nRuns %d numCould %d when %d\n",
heuristicName(),numRuns_,numCouldRun_,when_);
#endif
// Todo: Ask JJHF what "number of times
// the heuristic could run" means.
OsiSolverInterface * solver = model_->solver()->clone();
double primalTolerance ;
solver->getDblParam(OsiPrimalTolerance, primalTolerance) ;
OsiClpSolverInterface * clpSolver = dynamic_cast<OsiClpSolverInterface *> (solver);
assert (clpSolver);
ClpSimplex * simplex = clpSolver->getModelPtr();
// Initialize the structure holding the solutions for the Simplex iterations
clpSolution solutions;
// Set typeStruct field of ClpTrustedData struct to 1 to indicate
// desired behavior for RandRound heuristic (which is what?)
ClpTrustedData trustedSolutions;
trustedSolutions.typeStruct = 1;
trustedSolutions.data = &solutions;
solutions.numberSolutions = 0;
solutions.maximumSolutions = 0;
solutions.numberColumns = simplex->numberColumns();
solutions.solution = NULL;
solutions.numberUnsatisfied = NULL;
simplex->setTrustedUserPointer(&trustedSolutions);
// Solve from all slack to get some points
simplex->allSlackBasis();
// Calling primal() invalidates pointers to some rim vectors,
// like...row sense (!)
simplex->primal();
// 1. Okay - so a workaround would be to copy the data I want BEFORE
// calling primal.
// 2. Another approach is to ask the simplex solvers NOT to mess up my
// rims.
// 3. See freeCachedResults() for what is getting
// deleted. Everything else points into the structure.
// ...or use collower and colupper rather than rowsense.
// ..store address of where one of these
// Store the basic problem information
// -Get the number of columns, rows and rhs vector
int numCols = clpSolver->getNumCols();
int numRows = clpSolver->getNumRows();
// Find the integer variables (use columnType(?))
// One if not continuous, that is binary or general integer)
// columnType() = 0 continuous
// = 1 binary
// = 2 general integer
bool * varClassInt = new bool[numCols];
const char* columnType = clpSolver->columnType();
int numGenInt = 0;
for (int i = 0; i < numCols; i++) {
if (clpSolver->isContinuous(i))
varClassInt[i] = 0;
else
varClassInt[i] = 1;
if (columnType[i] == 2) numGenInt++;
}
// Heuristic is for problems with general integer variables.
// If there are none, quit.
if (numGenInt++ < 1) {
delete [] varClassInt ;
std::cout << "Leaving the Randomized Rounding Heuristic" << std::endl;
return 0;
}
// -Get the rows sense
const char * rowSense;
rowSense = clpSolver->getRowSense();
// -Get the objective coefficients
double *originalObjCoeff = CoinCopyOfArray(clpSolver->getObjCoefficients(), numCols);
// -Get the matrix of the problem
// rlh: look at using sparse representation
double ** matrix = new double * [numRows];
for (int i = 0; i < numRows; i++) {
matrix[i] = new double[numCols];
for (int j = 0; j < numCols; j++)
matrix[i][j] = 0;
}
const CoinPackedMatrix* matrixByRow = clpSolver->getMatrixByRow();
const double * matrixElements = matrixByRow->getElements();
const int * matrixIndices = matrixByRow->getIndices();
const int * matrixStarts = matrixByRow->getVectorStarts();
for (int j = 0; j < numRows; j++) {
for (int i = matrixStarts[j]; i < matrixStarts[j+1]; i++) {
matrix[j][matrixIndices[i]] = matrixElements[i];
}
}
double * newObj = new double [numCols];
srand ( static_cast<unsigned int>(time(NULL) + 1));
int randNum;
// Shuffle the rows:
// Put the rows in a random order
// so that the optimal solution is a different corner point than the
// starting point.
int * index = new int [numRows];
for (int i = 0; i < numRows; i++)
index[i] = i;
for (int i = 0; i < numRows; i++) {
int temp = index[i];
int randNumTemp = i + intRand(numRows - i);
index[i] = index[randNumTemp];
index[randNumTemp] = temp;
}
// Start finding corner points by iteratively doing the following:
// - contruct a randomly tilted objective
// - solve
for (int i = 0; i < numRows; i++) {
// TODO: that 10,000 could be a param in the member data
if (solutions.numberSolutions > 10000)
break;
randNum = intRand(2);
for (int j = 0; j < numCols; j++) {
// for row i and column j vary the coefficient "a bit"
if (randNum == 1)
// if the element is zero, then set the new obj
// coefficient to 0.1 (i.e., round up)
if (fabs(matrix[index[i]][j]) < primalTolerance)
newObj[j] = 0.1;
else
// if the element is nonzero, then increase the new obj
// coefficient "a bit"
newObj[j] = matrix[index[i]][j] * 1.1;
else
// if randnum is 2, then
// if the element is zero, then set the new obj coeffient
// to NEGATIVE 0.1 (i.e., round down)
if (fabs(matrix[index[i]][j]) < primalTolerance)
newObj[j] = -0.1;
else
// if the element is nonzero, then DEcrease the new obj coeffienct "a bit"
newObj[j] = matrix[index[i]][j] * 0.9;
}
// Use the new "tilted" objective
clpSolver->setObjective(newObj);
// Based on the row sense, we decide whether to max or min
if (rowSense[i] == 'L')
clpSolver->setObjSense(-1);
else
clpSolver->setObjSense(1);
// Solve with primal simplex
simplex->primal(1);
// rlh+ll: This was the original code. But we already have the
// model pointer (it's in simplex). And, calling getModelPtr()
// invalidates the cached data in the OsiClpSolverInterface
// object, which means our precious rowsens is lost. So let's
// not use the line below...
/******* clpSolver->getModelPtr()->primal(1); */
printf("---------------------------------------------------------------- %d\n", i);
}
// Iteratively do this process until...
// either you reach the max number of corner points (aka 10K)
// or all the rows have been used as an objective.
// Look at solutions
int numberSolutions = solutions.numberSolutions;
//const char * integerInfo = simplex->integerInformation();
//const double * columnLower = simplex->columnLower();
//const double * columnUpper = simplex->columnUpper();
printf("there are %d solutions\n", numberSolutions);
// Up to here we have all the corner points
// Now we need to do the random walks and roundings
double ** cornerPoints = new double * [numberSolutions];
for (int j = 0; j < numberSolutions; j++)
cornerPoints[j] = solutions.solution[j];
bool feasibility = 1;
// rlh: use some COIN max instead of 1e30 (?)
double bestObj = 1e30;
std::vector< std::vector <double> > feasibles;
int numFeasibles = 0;
// Check the feasibility of the corner points
int numCornerPoints = numberSolutions;
const double * rhs = clpSolver->getRightHandSide();
// rlh: row sense hasn't changed. why a fresh copy?
// Delete next line.
rowSense = clpSolver->getRowSense();
for (int i = 0; i < numCornerPoints; i++) {
//get the objective value for this this point
double objValue = 0;
for (int k = 0; k < numCols; k++)
objValue += cornerPoints[i][k] * originalObjCoeff[k];
if (objValue < bestObj) {
// check integer feasibility
feasibility = 1;
for (int j = 0; j < numCols; j++) {
if (varClassInt[j]) {
double closest = floor(cornerPoints[i][j] + 0.5);
if (fabs(cornerPoints[i][j] - closest) > primalTolerance) {
feasibility = 0;
break;
}
}
}
// check all constraints satisfied
if (feasibility) {
for (int irow = 0; irow < numRows; irow++) {
double lhs = 0;
for (int j = 0; j < numCols; j++) {
lhs += matrix[irow][j] * cornerPoints[i][j];
}
if (rowSense[irow] == 'L' && lhs > rhs[irow] + primalTolerance) {
feasibility = 0;
break;
}
if (rowSense[irow] == 'G' && lhs < rhs[irow] - primalTolerance) {
feasibility = 0;
break;
}
if (rowSense[irow] == 'E' && (lhs - rhs[irow] > primalTolerance || lhs - rhs[irow] < -primalTolerance)) {
feasibility = 0;
break;
}
}
}
if (feasibility) {
numFeasibles++;
feasibles.push_back(std::vector <double> (numCols));
for (int k = 0; k < numCols; k++)
feasibles[numFeasibles-1][k] = cornerPoints[i][k];
printf("obj: %f\n", objValue);
if (objValue < bestObj)
bestObj = objValue;
}
}
}
int numFeasibleCorners;
numFeasibleCorners = numFeasibles;
//find the center of gravity of the corner points as the first random point
double * rp = new double[numCols];
for (int i = 0; i < numCols; i++) {
rp[i] = 0;
for (int j = 0; j < numCornerPoints; j++) {
rp[i] += cornerPoints[j][i];
}
rp[i] = rp[i] / numCornerPoints;
}
//-------------------------------------------
//main loop:
// -generate the next random point
// -round the random point
// -check the feasibility of the random point
//-------------------------------------------
srand ( static_cast<unsigned int>(time(NULL) + 1));
int numRandomPoints = 0;
while (numRandomPoints < 50000) {
numRandomPoints++;
//generate the next random point
int randomIndex = intRand(numCornerPoints);
double random = CoinDrand48();
for (int i = 0; i < numCols; i++) {
rp[i] = (random * (cornerPoints[randomIndex][i] - rp[i])) + rp[i];
}
//CRISP ROUNDING
//round the random point just generated
double * roundRp = new double[numCols];
for (int i = 0; i < numCols; i++) {
roundRp[i] = rp[i];
if (varClassInt[i]) {
if (rp[i] >= 0) {
if (fmod(rp[i], 1) > 0.5)
roundRp[i] = floor(rp[i]) + 1;
else
roundRp[i] = floor(rp[i]);
} else {
if (fabs(fmod(rp[i], 1)) > 0.5)
roundRp[i] = floor(rp[i]);
else
roundRp[i] = floor(rp[i]) + 1;
}
}
}
//SOFT ROUNDING
// Look at original files for the "how to" on soft rounding;
// Soft rounding omitted here.
//Check the feasibility of the rounded random point
// -Check the feasibility
// -Get the rows sense
rowSense = clpSolver->getRowSense();
rhs = clpSolver->getRightHandSide();
//get the objective value for this feasible point
double objValue = 0;
for (int i = 0; i < numCols; i++)
objValue += roundRp[i] * originalObjCoeff[i];
if (objValue < bestObj) {
feasibility = 1;
for (int i = 0; i < numRows; i++) {
double lhs = 0;
for (int j = 0; j < numCols; j++) {
lhs += matrix[i][j] * roundRp[j];
}
if (rowSense[i] == 'L' && lhs > rhs[i] + primalTolerance) {
feasibility = 0;
break;
}
if (rowSense[i] == 'G' && lhs < rhs[i] - primalTolerance) {
feasibility = 0;
break;
}
if (rowSense[i] == 'E' && (lhs - rhs[i] > primalTolerance || lhs - rhs[i] < -primalTolerance)) {
feasibility = 0;
break;
}
}
if (feasibility) {
printf("Feasible Found.\n");
printf("%.2f\n", CoinCpuTime() - start);
numFeasibles++;
feasibles.push_back(std::vector <double> (numCols));
for (int i = 0; i < numCols; i++)
feasibles[numFeasibles-1][i] = roundRp[i];
printf("obj: %f\n", objValue);
if (objValue < bestObj)
bestObj = objValue;
}
}
delete [] roundRp;
}
printf("Number of Feasible Corners: %d\n", numFeasibleCorners);
printf("Number of Feasibles Found: %d\n", numFeasibles);
if (numFeasibles > 0)
printf("Best Objective: %f\n", bestObj);
printf("time: %.2f\n", CoinCpuTime() - start);
if (numFeasibles == 0) {
// cleanup
delete [] varClassInt;
for (int i = 0; i < numRows; i++)
delete matrix[i];
delete [] matrix;
delete [] newObj;
delete [] index;
for (int i = 0; i < numberSolutions; i++)
delete cornerPoints[i];
delete [] cornerPoints;
delete [] rp;
return 0;
}
// We found something better
solutionValue = bestObj;
for (int k = 0; k < numCols; k++) {
betterSolution[k] = feasibles[numFeasibles-1][k];
}
delete [] varClassInt;
for (int i = 0; i < numRows; i++)
delete matrix[i];
delete [] matrix;
delete [] newObj;
delete [] index;
for (int i = 0; i < numberSolutions; i++)
delete cornerPoints[i];
delete [] cornerPoints;
delete [] rp;
std::cout << "Leaving the Randomized Rounding Heuristic" << std::endl;
return 1;
}
/*
First tries setting a variable to better value. If feasible then
tries setting others. If not feasible then tries swaps
Returns 1 if solution, 0 if not */
int
CbcHeuristicVND::solution(double & solutionValue,
double * betterSolution)
{
numCouldRun_++;
int returnCode = 0;
const double * bestSolution = model_->bestSolution();
if (!bestSolution)
return 0; // No solution found yet
#ifdef HEURISTIC_INFORM
printf("Entering heuristic %s - nRuns %d numCould %d when %d\n",
heuristicName(),numRuns_,numCouldRun_,when_);
#endif
if (numberSolutions_ < model_->getSolutionCount()) {
// new solution - add info
numberSolutions_ = model_->getSolutionCount();
int numberIntegers = model_->numberIntegers();
const int * integerVariable = model_->integerVariable();
int i;
for (i = 0; i < numberIntegers; i++) {
int iColumn = integerVariable[i];
const OsiObject * object = model_->object(i);
// get original bounds
double originalLower;
double originalUpper;
getIntegerInformation( object, originalLower, originalUpper);
double value = bestSolution[iColumn];
if (value < originalLower) {
value = originalLower;
} else if (value > originalUpper) {
value = originalUpper;
}
}
}
int numberNodes = model_->getNodeCount();
if (howOften_ == 100) {
if (numberNodes < lastNode_ + 12)
return 0;
// Do at 50 and 100
if ((numberNodes > 40 && numberNodes <= 50) || (numberNodes > 90 && numberNodes < 100))
numberNodes = howOften_;
}
if ((numberNodes % howOften_) == 0 && (model_->getCurrentPassNumber() <= 1 ||
model_->getCurrentPassNumber() == 999999)) {
lastNode_ = model_->getNodeCount();
OsiSolverInterface * solver = model_->solver();
int numberIntegers = model_->numberIntegers();
const int * integerVariable = model_->integerVariable();
const double * currentSolution = solver->getColSolution();
OsiSolverInterface * newSolver = cloneBut(3); // was model_->continuousSolver()->clone();
//const double * colLower = newSolver->getColLower();
//const double * colUpper = newSolver->getColUpper();
double primalTolerance;
solver->getDblParam(OsiPrimalTolerance, primalTolerance);
// Sort on distance
double * distance = new double [numberIntegers];
int * which = new int [numberIntegers];
int i;
int nFix = 0;
double tolerance = 10.0 * primalTolerance;
for (i = 0; i < numberIntegers; i++) {
int iColumn = integerVariable[i];
const OsiObject * object = model_->object(i);
// get original bounds
double originalLower;
double originalUpper;
getIntegerInformation( object, originalLower, originalUpper);
double valueInt = bestSolution[iColumn];
if (valueInt < originalLower) {
valueInt = originalLower;
} else if (valueInt > originalUpper) {
valueInt = originalUpper;
}
baseSolution_[iColumn] = currentSolution[iColumn];
distance[i] = fabs(currentSolution[iColumn] - valueInt);
which[i] = i;
if (fabs(currentSolution[iColumn] - valueInt) < tolerance)
nFix++;
}
CoinSort_2(distance, distance + numberIntegers, which);
nDifferent_ = numberIntegers - nFix;
stepSize_ = nDifferent_ / 10;
k_ = stepSize_;
//nFix = numberIntegers-stepSize_;
for (i = 0; i < nFix; i++) {
int j = which[i];
int iColumn = integerVariable[j];
const OsiObject * object = model_->object(i);
// get original bounds
double originalLower;
double originalUpper;
getIntegerInformation( object, originalLower, originalUpper);
double valueInt = bestSolution[iColumn];
if (valueInt < originalLower) {
valueInt = originalLower;
} else if (valueInt > originalUpper) {
valueInt = originalUpper;
}
double nearest = floor(valueInt + 0.5);
newSolver->setColLower(iColumn, nearest);
newSolver->setColUpper(iColumn, nearest);
}
delete [] distance;
delete [] which;
if (nFix > numberIntegers / 5) {
//printf("%d integers have samish value\n",nFix);
returnCode = smallBranchAndBound(newSolver, numberNodes_, betterSolution, solutionValue,
model_->getCutoff(), "CbcHeuristicVND");
if (returnCode < 0)
returnCode = 0; // returned on size
else
numRuns_++;
if ((returnCode&1) != 0)
numberSuccesses_++;
//printf("return code %d",returnCode);
if ((returnCode&2) != 0) {
// could add cut
returnCode &= ~2;
//printf("could add cut with %d elements (if all 0-1)\n",nFix);
} else {
//printf("\n");
}
numberTries_++;
if ((numberTries_ % 10) == 0 && numberSuccesses_*3 < numberTries_)
howOften_ += static_cast<int> (howOften_ * decayFactor_);
}
delete newSolver;
}
return returnCode;
}
/*
Comments needed
Returns 1 if solution, 0 if not */
int
CbcHeuristicPivotAndFix::solution(double & /*solutionValue*/,
double * /*betterSolution*/)
{
numCouldRun_++; // Todo: Ask JJHF what this for.
std::cout << "Entering Pivot-and-Fix Heuristic" << std::endl;
#ifdef HEURISTIC_INFORM
printf("Entering heuristic %s - nRuns %d numCould %d when %d\n",
heuristicName(),numRuns_,numCouldRun_,when_);
#endif
#ifdef FORNOW
std::cout << "Lucky you! You're in the Pivot-and-Fix Heuristic" << std::endl;
// The struct should be moved to member data
typedef struct {
int numberSolutions;
int maximumSolutions;
int numberColumns;
double ** solution;
int * numberUnsatisfied;
} clpSolution;
double start = CoinCpuTime();
OsiClpSolverInterface * clpSolverOriginal
= dynamic_cast<OsiClpSolverInterface *> (model_->solver());
assert (clpSolverOriginal);
OsiClpSolverInterface *clpSolver(clpSolverOriginal);
ClpSimplex * simplex = clpSolver->getModelPtr();
// Initialize the structure holding the solutions
clpSolution solutions;
// Set typeStruct field of ClpTrustedData struct to one.
// This tells Clp it's "Mahdi!"
ClpTrustedData trustedSolutions;
trustedSolutions.typeStruct = 1;
trustedSolutions.data = &solutions;
solutions.numberSolutions = 0;
solutions.maximumSolutions = 0;
solutions.numberColumns = simplex->numberColumns();
solutions.solution = NULL;
solutions.numberUnsatisfied = NULL;
simplex->setTrustedUserPointer(&trustedSolutions);
// Solve from all slack to get some points
simplex->allSlackBasis();
simplex->primal();
// -------------------------------------------------
// Get the problem information
// - get the number of cols and rows
int numCols = clpSolver->getNumCols();
int numRows = clpSolver->getNumRows();
// - get the right hand side of the rows
const double * rhs = clpSolver->getRightHandSide();
// - find the integer variables
bool * varClassInt = new bool[numCols];
int numInt = 0;
for (int i = 0; i < numCols; i++) {
if (clpSolver->isContinuous(i))
varClassInt[i] = 0;
else {
varClassInt[i] = 1;
numInt++;
}
}
// -Get the rows sense
const char * rowSense;
rowSense = clpSolver->getRowSense();
// -Get the objective coefficients
const double *objCoefficients = clpSolver->getObjCoefficients();
double *originalObjCoeff = new double [numCols];
for (int i = 0; i < numCols; i++)
originalObjCoeff[i] = objCoefficients[i];
// -Get the matrix of the problem
double ** matrix = new double * [numRows];
for (int i = 0; i < numRows; i++) {
matrix[i] = new double[numCols];
for (int j = 0; j < numCols; j++)
matrix[i][j] = 0;
}
const CoinPackedMatrix* matrixByRow = clpSolver->getMatrixByRow();
const double * matrixElements = matrixByRow->getElements();
const int * matrixIndices = matrixByRow->getIndices();
const int * matrixStarts = matrixByRow->getVectorStarts();
for (int j = 0; j < numRows; j++) {
for (int i = matrixStarts[j]; i < matrixStarts[j+1]; i++) {
matrix[j][matrixIndices[i]] = matrixElements[i];
}
}
// The newObj is the randomly perturbed constraint used to find new
// corner points
double * newObj = new double [numCols];
// Set the random seed
srand ( time(NULL) + 1);
int randNum;
// We're going to add a new row to the LP formulation
// after finding each new solution.
// Adding a new row requires the new elements and the new indices.
// The elements are original objective function coefficients.
// The indicies are the (dense) columns indices stored in addRowIndex.
// The rhs is the value of the new solution stored in solutionValue.
int * addRowIndex = new int[numCols];
for (int i = 0; i < numCols; i++)
addRowIndex[i] = i;
// The number of feasible solutions found by the PF heuristic.
// This controls the return code of the solution() method.
int numFeasibles = 0;
// Shuffle the rows
int * index = new int [numRows];
for (int i = 0; i < numRows; i++)
index[i] = i;
for (int i = 0; i < numRows; i++) {
int temp = index[i];
int randNumTemp = i + (rand() % (numRows - i));
index[i] = index[randNumTemp];
index[randNumTemp] = temp;
}
// In the clpSolution struct, we store a lot of column solutions.
// For each perturb objective, we store the solution from each
// iteration of the LP solve.
// For each perturb objective, we look at the collection of
// solutions to do something extremly intelligent :-)
// We could (and should..and will :-) wipe out the block of
// solutions when we're done with them. But for now, we just move on
// and store the next block of solutions for the next (perturbed)
// objective.
// The variable startIndex tells us where the new block begins.
int startIndex = 0;
// At most "fixThreshold" number of integer variables can be unsatisfied
// for calling smallBranchAndBound().
// The PF Heuristic only fixes fixThreshold number of variables to
// their integer values. Not more. Not less. The reason is to give
// the smallBB some opportunity to find better solutions. If we fix
// everything it might be too many (leading the heuristic to come up
// with infeasibility rather than a useful result).
// (This is an important paramater. And it is dynamically set.)
double fixThreshold;
/*
if(numInt > 400)
fixThreshold = 17*sqrt(numInt);
if(numInt<=400 && numInt>100)
fixThreshold = 5*sqrt(numInt);
if(numInt<=100)
fixThreshold = 4*sqrt(numInt);
*/
// Initialize fixThreshold based on the number of integer
// variables
if (numInt <= 100)
fixThreshold = .35 * numInt;
if (numInt > 100 && numInt < 1000)
fixThreshold = .85 * numInt;
if (numInt >= 1000)
fixThreshold = .1 * numInt;
// Whenever the dynamic system for changing fixThreshold
// kicks in, it changes the parameter by the
// fixThresholdChange amount.
// (The 25% should be member data and tuned. Another paper!)
double fixThresholdChange = 0.25 * fixThreshold;
// maxNode is the maximum number of nodes we allow smallBB to
// search. It's initialized to 400 and changed dynamically.
// The 400 should be member data, if we become virtuous.
int maxNode = 400;
// We control the decision to change maxNode through the boolean
// variable changeMaxNode. The boolean variable is initialized to
// true and gets set to false under a condition (and is never true
// again.)
// It's flipped off and stays off (in the current incarnation of PF)
bool changeMaxNode = 1;
// The sumReturnCode is used for the dynamic system that sets
// fixThreshold and changeMaxNode.
//
// We track what's happening in sumReturnCode. There are 8 switches.
// The first 5 switches corresponds to a return code for smallBB.
//
// We want to know how many times we consecutively get the same
// return code.
//
// If "good" return codes are happening often enough, we're happy.
//
// If a "bad" returncodes happen consecutively, we want to
// change something.
//
// The switch 5 is the number of times PF didn't call smallBB
// becuase the number of integer variables that took integer values
// was less than fixThreshold.
//
// The swicth 6 was added for a brilliant idea...to be announced
// later (another paper!)
//
// The switch 7 is the one that changes the max node. Read the
// code. (Todo: Verbalize the brilliant idea for the masses.)
//
int sumReturnCode[8];
/*
sumReturnCode[0] ~ -1 --> problem too big for smallBB
sumReturnCode[1] ~ 0 --> smallBB not finshed and no soln
sumReturnCode[2] ~ 1 --> smallBB not finshed and there is a soln
sumReturnCode[3] ~ 2 --> smallBB finished and no soln
sumReturnCode[4] ~ 3 --> smallBB finished and there is a soln
sumReturnCode[5] ~ didn't call smallBranchAndBound too few to fix
sumReturnCode[6] ~ didn't call smallBranchAndBound too many unsatisfied
sumReturnCode[7] ~ the same as sumReturnCode[1] but becomes zero just if the returnCode is not 0
*/
for (int i = 0; i < 8; i++)
sumReturnCode[i] = 0;
int * colIndex = new int[numCols];
for (int i = 0; i < numCols; i++)
colIndex[i] = i;
double cutoff = COIN_DBL_MAX;
bool didMiniBB;
// Main loop
for (int i = 0; i < numRows; i++) {
// track the number of mini-bb for the dynamic threshold setting
didMiniBB = 0;
for (int k = startIndex; k < solutions.numberSolutions; k++)
//if the point has 0 unsatisfied variables; make sure it is
//feasible. Check integer feasiblity and constraints.
if (solutions.numberUnsatisfied[k] == 0) {
double feasibility = 1;
//check integer feasibility
for (int icol = 0; icol < numCols; icol++) {
double closest = floor(solutions.solution[k][icol] + 0.5);
if (varClassInt[icol] && (fabs(solutions.solution[k][icol] - closest) > 1e-6)) {
feasibility = 0;
break;
}
}
//check if the solution satisfies the constraints
for (int irow = 0; irow < numRows; irow++) {
double lhs = 0;
for (int j = 0; j < numCols; j++)
lhs += matrix[irow][j] * solutions.solution[k][j];
if (rowSense[irow] == 'L' && lhs > rhs[irow] + 1e-6) {
feasibility = 0;
break;
}
if (rowSense[irow] == 'G' && lhs < rhs[irow] - 1e-6) {
feasibility = 0;
break;
}
if (rowSense[irow] == 'E' && (lhs - rhs[irow] > 1e-6 || lhs - rhs[irow] < -1e-6)) {
feasibility = 0;
break;
}
}
//if feasible, find the objective value and set the cutoff
// for the smallBB and add a new constraint to the LP
// (and update the best solution found so far for the
// return arguments)
if (feasibility) {
double objectiveValue = 0;
for (int j = 0; j < numCols; j++)
objectiveValue += solutions.solution[k][j] * originalObjCoeff[j];
cutoff = objectiveValue;
clpSolver->addRow(numCols, addRowIndex, originalObjCoeff, -COIN_DBL_MAX, cutoff);
// Todo: pick up the best solution in the block (not
// the last).
solutionValue = objectiveValue;
for (int m = 0; m < numCols; m++)
betterSolution[m] = solutions.solution[k][m];
numFeasibles++;
}
}
// Go through the block of solution and decide if to call smallBB
for (int k = startIndex; k < solutions.numberSolutions; k++) {
if (solutions.numberUnsatisfied[k] <= fixThreshold) {
// get new copy
OsiSolverInterface * newSolver;
newSolver = new OsiClpSolverInterface(*clpSolver);
newSolver->setObjSense(1);
newSolver->setObjective(originalObjCoeff);
int numberColumns = newSolver->getNumCols();
int numFixed = 0;
// Fix the first fixThreshold number of integer vars
// that are satisfied
for (int iColumn = 0 ; iColumn < numberColumns ; iColumn++) {
if (newSolver->isInteger(iColumn)) {
double value = solutions.solution[k][iColumn];
double intValue = floor(value + 0.5);
if (fabs(value - intValue) < 1.0e-5) {
newSolver->setColLower(iColumn, intValue);
newSolver->setColUpper(iColumn, intValue);
numFixed++;
if (numFixed > numInt - fixThreshold)
break;
}
}
}
COIN_DETAIL_PRINT(printf("numFixed: %d\n", numFixed));
COIN_DETAIL_PRINT(printf("fixThreshold: %f\n", fixThreshold));
COIN_DETAIL_PRINT(printf("numInt: %d\n", numInt));
double *newSolution = new double[numCols];
double newSolutionValue;
// Call smallBB on the modified problem
int returnCode = smallBranchAndBound(newSolver, maxNode, newSolution,
newSolutionValue, cutoff, "mini");
// If smallBB found a solution, update the better
// solution and solutionValue (we gave smallBB our
// cutoff, so it only finds improving solutions)
if (returnCode == 1 || returnCode == 3) {
numFeasibles ++;
solutionValue = newSolutionValue;
for (int m = 0; m < numCols; m++)
betterSolution[m] = newSolution[m];
COIN_DETAIL_PRINT(printf("cutoff: %f\n", newSolutionValue));
COIN_DETAIL_PRINT(printf("time: %.2lf\n", CoinCpuTime() - start));
}
didMiniBB = 1;
COIN_DETAIL_PRINT(printf("returnCode: %d\n", returnCode));
//Update sumReturnCode array
for (int iRC = 0; iRC < 6; iRC++) {
if (iRC == returnCode + 1)
sumReturnCode[iRC]++;
else
sumReturnCode[iRC] = 0;
}
if (returnCode != 0)
sumReturnCode[7] = 0;
else
sumReturnCode[7]++;
if (returnCode == 1 || returnCode == 3) {
cutoff = newSolutionValue;
clpSolver->addRow(numCols, addRowIndex, originalObjCoeff, -COIN_DBL_MAX, cutoff);
COIN_DETAIL_PRINT(printf("******************\n\n*****************\n"));
}
break;
}
}
if (!didMiniBB && solutions.numberSolutions - startIndex > 0) {
sumReturnCode[5]++;
for (int iRC = 0; iRC < 5; iRC++)
sumReturnCode[iRC] = 0;
}
//Change "fixThreshold" if needed
// using the data we've recorded in sumReturnCode
if (sumReturnCode[1] >= 3)
fixThreshold -= fixThresholdChange;
if (sumReturnCode[7] >= 3 && changeMaxNode) {
maxNode *= 5;
changeMaxNode = 0;
}
if (sumReturnCode[3] >= 3 && fixThreshold < 0.95 * numInt)
fixThreshold += fixThresholdChange;
if (sumReturnCode[5] >= 4)
fixThreshold += fixThresholdChange;
if (sumReturnCode[0] > 3)
fixThreshold -= fixThresholdChange;
startIndex = solutions.numberSolutions;
//Check if the maximum iterations limit is reached
// rlh: Ask John how this is working with the change to trustedUserPtr.
if (solutions.numberSolutions > 20000)
break;
// The first time in this loop PF solves orig LP.
//Generate the random objective function
randNum = rand() % 10 + 1;
randNum = fmod(randNum, 2);
for (int j = 0; j < numCols; j++) {
if (randNum == 1)
if (fabs(matrix[index[i]][j]) < 1e-6)
newObj[j] = 0.1;
else
newObj[j] = matrix[index[i]][j] * 1.1;
else if (fabs(matrix[index[i]][j]) < 1e-6)
newObj[j] = -0.1;
else
newObj[j] = matrix[index[i]][j] * 0.9;
}
clpSolver->setObjective(newObj);
if (rowSense[i] == 'L')
clpSolver->setObjSense(-1);
else
// Todo #1: We don't need to solve the LPs to optimality.
// We just need corner points.
// There's a problem in stopping Clp that needs to be looked
// into. So for now, we solve optimality.
clpSolver->setObjSense(1);
// simplex->setMaximumIterations(100);
clpSolver->getModelPtr()->primal(1);
// simplex->setMaximumIterations(100000);
#ifdef COIN_DETAIL
printf("cutoff: %f\n", cutoff);
printf("time: %.2f\n", CoinCpuTime() - start);
for (int iRC = 0; iRC < 8; iRC++)
printf("%d ", sumReturnCode[iRC]);
printf("\nfixThreshold: %f\n", fixThreshold);
printf("numInt: %d\n", numInt);
printf("\n---------------------------------------------------------------- %d\n", i);
#endif
//temp:
if (i > 3) break;
}
COIN_DETAIL_PRINT(printf("Best Feasible Found: %f\n", cutoff));
COIN_DETAIL_PRINT(printf("Total time: %.2f\n", CoinCpuTime() - start));
if (numFeasibles == 0) {
return 0;
}
// We found something better
std::cout << "See you soon! You're leaving the Pivot-and-Fix Heuristic" << std::endl;
std::cout << std::endl;
return 1;
#endif
return 0;
}
