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Working (and most importantly refactored) version of MinimalLabelSetGenerator. 

Former-commit-id: 150b7d87e5
tempestpy_adaptions
dehnert 11 years ago
parent
3c22a669af
commit
8f3182b520
2 changed files with 557 additions and 158 deletions
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  1. 697
      src/counterexamples/MinimalLabelSetGenerator.h
  2. 2
      src/storm.cpp

697
src/counterexamples/MinimalLabelSetGenerator.h
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@ -90,7 +90,7 @@ namespace storm {
storm::storage::SparseMatrix<bool> backwardTransitions = labeledMdp.getBackwardTransitions();
result.relevantStates = storm::utility::graph::performProbGreater0E(labeledMdp, backwardTransitions, phiStates, psiStates);
result.relevantStates &= ~psiStates;
storm::storage::BitVector problematicStates = storm::utility::graph::performProbGreater0E(labeledMdp, backwardTransitions, phiStates, psiStates);
result.problematicStates = storm::utility::graph::performProbGreater0E(labeledMdp, backwardTransitions, phiStates, psiStates);
result.problematicStates.complement();
result.problematicStates &= result.relevantStates;
LOG4CPLUS_DEBUG(logger, "Found " << phiStates.getNumberOfSetBits() << " filter states (" << phiStates.toString() << ").");
@ -131,11 +131,11 @@ namespace storm {
// If there is a relevant successor, we need to add the labels of the current choice.
if (stateInformation.relevantStates.get(*successorIt) || psiStates.get(*successorIt)) {
for (auto const& label : choiceLabeling[row]) {
result.relevantLabels.insert(label);
result.allRelevantLabels.insert(label);
}
if (!currentChoiceRelevant) {
currentChoiceRelevant = true;
result.relevantChoicesForRelevantStates[state].emplace_back(row);
result.relevantChoicesForRelevantStates[state].push_back(row);
}
}
if (!stateInformation.problematicStates.get(*successorIt)) {
@ -146,11 +146,11 @@ namespace storm {
// If all successors of a problematic state are problematic themselves, we record this choice
// as being problematic.
if (stateInformation.problematicStates.get(state) && allSuccessorsProblematic) {
result.problematicChoicesForProblematicStates[state].emplace_back(row);
result.problematicChoicesForProblematicStates[state].push_back(row);
}
}
}
LOG4CPLUS_DEBUG(logger, "Found " << result.relevantLabels.size() << " relevant labels.");
LOG4CPLUS_DEBUG(logger, "Found " << result.allRelevantLabels.size() << " relevant labels.");
return result;
}
@ -159,7 +159,7 @@ namespace storm {
*
* @return A pair of two pointers to a Gurobi environment and model, respectively.
*/
static std::pair<GRBenv*, GRBmodel*> getGurobiEnvironmentAndModel() {
static std::pair<GRBenv*, GRBmodel*> createGurobiEnvironmentAndModel() {
GRBenv* env = nullptr;
int error = GRBloadenv(&env, "storm_gurobi.log");
if (error || env == NULL) {
@ -175,6 +175,80 @@ namespace storm {
return std::make_pair(env, model);
}
/*!
* Retrieves whether the given Gurobi model was optimized.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @return True if the model was optimized. Otherwise an exception is thrown.
*/
static bool checkGurobiModelIsOptimized(GRBenv* env, GRBmodel* model) {
int optimalityStatus = 0;
int error = GRBgetintattr(model, GRB_INT_ATTR_STATUS, &optimalityStatus);
if (optimalityStatus == GRB_INF_OR_UNBD) {
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution from infeasible or unbounded model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution from infeasible or unbounded MILP (" << GRBgeterrormsg(env) << ").";
} else if (optimalityStatus != GRB_OPTIMAL) {
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution from unoptimized model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution from unoptimized model (" << GRBgeterrormsg(env) << ").";
}
return true;
}
/*!
* Writes the given Gurobi model to a file.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param filename The name of the file in which to write the model.
*/
static void writeModelToFile(GRBenv* env, GRBmodel* model, std::string const& filename) {
int error = GRBwrite(model, filename.c_str());
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to write Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to write Gurobi model (" << GRBgeterrormsg(env) << ").";
}
}
/*!
* Updates the Gurobi model to incorporate any prior changes.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
*/
static void updateModel(GRBenv* env, GRBmodel* model) {
int error = GRBupdatemodel(model);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to update Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to update Gurobi model (" << GRBgeterrormsg(env) << ").";
}
}
/*!
* Calls Gurobi to optimize the given model.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
*/
static void optimizeModel(GRBenv* env, GRBmodel* model) {
int error = GRBoptimize(model);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to optimize Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to optimize Gurobi model (" << GRBgeterrormsg(env) << ").";
}
}
/*!
* Destroys the given Gurobi model and environment to free ressources.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
*/
static void destroyGurobiModelAndEnvironment(GRBenv* env, GRBmodel* model) {
GRBfreemodel(model);
GRBfreeenv(env);
}
/*!
* Creates the variables for the labels of the model.
*
@ -221,7 +295,7 @@ namespace storm {
std::unordered_map<uint_fast64_t, std::list<uint_fast64_t>> resultingMap;
for (auto state : stateInformation.relevantStates) {
resultingMap.emplace(state, std::list<uint_fast64_t>());
std::list<uint_fast64_t> const& relevantChoicesForState = choiceInformation.relevantChoicesForRelevantStates[state];
std::list<uint_fast64_t> const& relevantChoicesForState = choiceInformation.relevantChoicesForRelevantStates.at(state);
for (uint_fast64_t row : relevantChoicesForState) {
variableNameBuffer.str("");
variableNameBuffer.clear();
@ -231,7 +305,7 @@ namespace storm {
LOG4CPLUS_ERROR(logger, "Could not create Gurobi variable (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Could not create Gurobi variable (" << GRBgeterrormsg(env) << ").";
}
resultingMap[state].emplace_back(nextFreeVariableIndex);
resultingMap[state].push_back(nextFreeVariableIndex);
++nextFreeVariableIndex;
}
}
@ -243,12 +317,15 @@ namespace storm {
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param stateInformation The information about the states in the model.
* @param nextFreeVariableIndex A reference to the next free variable index. Note: when creating new
* variables, this value is increased.
* @param maximizeProbability If set to true, the objective function is constructed in a way that a
* label-minimal subsystem of maximal probability is computed.
* @return A mapping from states to the index of the corresponding probability variables.
*/
static std::unordered_map<uint_fast64_t, uint_fast64_t> createProbabilityVariables(GRBenv* env, GRBmodel* model, StateInformation const& stateInformation, uint_fast64_t& nextFreeVariableIndex) {
static std::unordered_map<uint_fast64_t, uint_fast64_t> createProbabilityVariables(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, StateInformation const& stateInformation, uint_fast64_t& nextFreeVariableIndex, bool maximizeProbability = false) {
int error = 0;
std::stringstream variableNameBuffer;
std::unordered_map<uint_fast64_t, uint_fast64_t> resultingMap;
@ -256,7 +333,7 @@ namespace storm {
variableNameBuffer.str("");
variableNameBuffer.clear();
variableNameBuffer << "p" << state;
error = GRBaddvar(model, 0, nullptr, nullptr, 0.0, 0.0, 1.0, GRB_CONTINUOUS, variableNameBuffer.str().c_str());
error = GRBaddvar(model, 0, nullptr, nullptr, maximizeProbability ? (labeledMdp.getLabeledStates("init").get(state) ? -0.5 : 0) : 0, 0.0, 1.0, GRB_CONTINUOUS, variableNameBuffer.str().c_str());
if (error) {
LOG4CPLUS_ERROR(logger, "Could not create Gurobi variable (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Could not create Gurobi variable (" << GRBgeterrormsg(env) << ").";
@ -298,8 +375,8 @@ namespace storm {
++nextFreeVariableIndex;
}
std::list<uint_fast64_t> const& relevantChoicesForState = choiceInformation.relevantChoicesForRelevantStates[state];
for (uint_fast64_t row : choiceInformation.relevantChoicesForState) {
std::list<uint_fast64_t> const& relevantChoicesForState = choiceInformation.relevantChoicesForRelevantStates.at(state);
for (uint_fast64_t row : relevantChoicesForState) {
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(row); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(row); ++successorIt) {
if (stateInformation.relevantStates.get(*successorIt)) {
if (resultingMap.find(*successorIt) == resultingMap.end()) {
@ -338,8 +415,8 @@ namespace storm {
std::stringstream variableNameBuffer;
std::unordered_map<std::pair<uint_fast64_t, uint_fast64_t>, uint_fast64_t, PairHash> resultingMap;
for (auto state : stateInformation.problematicStates) {
std::list<uint_fast64_t> const& relevantChoicesForState = choiceInformation.relevantChoicesForRelevantStates[state];
for (uint_fast64_t row : choiceInformation.relevantChoicesForState) {
std::list<uint_fast64_t> const& relevantChoicesForState = choiceInformation.relevantChoicesForRelevantStates.at(state);
for (uint_fast64_t row : relevantChoicesForState) {
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(row); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(row); ++successorIt) {
if (stateInformation.relevantStates.get(*successorIt)) {
variableNameBuffer.str("");
@ -375,19 +452,19 @@ namespace storm {
VariableInformation result;
// Create variables for involved labels.
result.labelToVariableIndexMap = createLabelVariables(env, model, choiceInformation.relevantLabes, result.nextFreeVariableIndex);
result.labelToVariableIndexMap = createLabelVariables(env, model, choiceInformation.allRelevantLabels, result.nextFreeVariableIndex);
// Create scheduler variables for relevant states and their actions.
result.stateToChoiceVariablesIndexMap = createSchedulerVariables(env, model, stateInformation, choiceInformation, result.nextFreeVariableIndex);
// Create variables for probabilities for all relevant states.
result.stateToProbabilityVariableIndexMap = createProbabilityVariables(env, model, stateInformation, result.nextFreeVariableIndex);
result.stateToProbabilityVariableIndexMap = createProbabilityVariables(env, model, labeledMdp, stateInformation, result.nextFreeVariableIndex);
// Create variables for problematic states.
result.problematicStateToVariableIndexMap = createProblematicStateVariables(env, model, stateInformation, result.nextFreeVariableIndex);
result.problematicStateToVariableIndexMap = createProblematicStateVariables(env, model, labeledMdp, stateInformation, choiceInformation, result.nextFreeVariableIndex);
// Create variables for problematic choices.
result.problematicTransitionToVariableIndexMap = createProblematicChoiceVariables(env, model, stateInformation, choiceInformation, result.nextFreeVariableIndex);
result.problematicTransitionToVariableIndexMap = createProblematicChoiceVariables(env, model, labeledMdp, stateInformation, choiceInformation, result.nextFreeVariableIndex);
LOG4CPLUS_INFO(logger, "Successfully created " << result.nextFreeVariableIndex << " Gurobi variables.");
@ -395,20 +472,6 @@ namespace storm {
return result;
}
/*!
* Updates the Gurobi model to incorporate any prior changes.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
*/
static void updateModel(GRBenv* env, GRBmodel* model) {
int error = GRBupdatemodel(model);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to update Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to update Gurobi model (" << GRBgeterrormsg(env) << ").";
}
}
/*!
* Asserts a constraint in the MILP problem that makes sure the reachability probability in the subsystem
* exceeds the given threshold.
@ -418,8 +481,10 @@ namespace storm {
* @param labeledMdp The labeled MDP.
* @param variableInformation A struct with information about the variables of the model.
* @param probabilityThreshold The probability that the subsystem must exceed.
* @return The total number of constraints that were created.
*/
static void assertProbabilityGreaterThanThreshold(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, VariableInformation const& variableInformation, T probabilityThreshold) {
static uint_fast64_t assertProbabilityGreaterThanThreshold(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, VariableInformation const& variableInformation, T probabilityThreshold) {
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
storm::storage::BitVector const& initialStates = labeledMdp.getLabeledStates("init");
if (initialStates.getNumberOfSetBits() != 1) {
@ -427,14 +492,16 @@ namespace storm {
throw storm::exceptions::InvalidStateException() << "Must have exactly one initial state, but got " << initialStates.getNumberOfSetBits() << "instead.";
}
for (auto initialState : initialStates) {
int variableIndex = static_cast<int>(variableInformation.stateToProbabilityVariableIndexMap[initialState]);
int variableIndex = static_cast<int>(variableInformation.stateToProbabilityVariableIndexMap.at(initialState));
double coefficient = 1.0;
error = GRBaddconstr(model, 1, &variableIndex, &coefficient, GRB_GREATER_EQUAL, probabilityThreshold + 1e-6, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
return numberOfConstraintsCreated;
}
/*!
@ -444,11 +511,13 @@ namespace storm {
* @param model The Gurobi model.
* @param stateInformation The information about the states in the model.
* @param variableInformation A struct with information about the variables of the model.
* @return The total number of constraints that were created.
*/
static void assertValidPolicy(GRBenv* env, GRBmodel* model, StateInformation const& stateInformation, VariableInformation const& variableInformation) {
static uint_fast64_t assertValidPolicy(GRBenv* env, GRBmodel* model, StateInformation const& stateInformation, VariableInformation const& variableInformation) {
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
for (auto state : stateInformation.relevantStates) {
std::list<uint_fast64_t> const& choiceVariableIndices = variableInformation.stateToChoiceVariablesIndexMap[state];
std::list<uint_fast64_t> const& choiceVariableIndices = variableInformation.stateToChoiceVariablesIndexMap.at(state);
std::vector<int> variables;
std::vector<double> coefficients(choiceVariableIndices.size(), 1);
variables.reserve(choiceVariableIndices.size());
@ -460,7 +529,9 @@ namespace storm {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
return numberOfConstraintsCreated;
}
/*!
@ -473,112 +544,97 @@ namespace storm {
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
* @return The total number of constraints that were created.
*/
static void assertChoicesImplyLabels(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
static uint_fast64_t assertChoicesImplyLabels(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
std::vector<std::list<uint_fast64_t>> const& choiceLabeling = labeledMdp.getChoiceLabeling();
for (auto state : stateInformation.relevantStates) {
std::list<uint_fast64_t> const& choiceVariableIndices = variableInformation.stateToChoiceVariablesIndexMap[state];
uint_fast64_t currentChoiceVariableIndex = stateToStartingIndexMap[state];
for (auto choice : relevantChoicesForRelevantStates[state]) {
int indices[2]; indices[0] = 0; indices[1] = currentChoiceVariableIndex;
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(state).begin();
for (auto choice : choiceInformation.relevantChoicesForRelevantStates.at(state)) {
int indices[2]; indices[0] = 0; indices[1] = *choiceVariableIndicesIterator;
double coefficients[2]; coefficients[0] = 1; coefficients[1] = -1;
for (auto label : choiceLabeling[choice]) {
indices[0] = labelToIndexMap[label];
indices[0] = variableInformation.labelToVariableIndexMap.at(label);
error = GRBaddconstr(model, 2, indices, coefficients, GRB_GREATER_EQUAL, 0, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
++currentChoiceVariableIndex;
++choiceVariableIndicesIterator;
}
}
return numberOfConstraintsCreated;
}
static void buildConstraintSystem(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation, T probabilityThreshold) {
// Assert that the reachability probability in the subsystem exceeds the given threshold.
assertProbabilityGreaterThanThreshold(env, model, labeledMdp, variableInformation, probabilityThreshold);
// Add constraints that assert the policy takes at most one action in each state.
assertValidPolicy(env, model, stateInformation, variableInformation);
assertChoicesImplyLabels(env, model, labeledMdp, stateInformation, choiceInformation, variableInformation);
}
// computeLabelSetFromSolution
public:
static std::unordered_set<uint_fast64_t> getMinimalLabelSet(storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, T probabilityThreshold, bool checkThresholdFeasible = false) {
#ifdef HAVE_GUROBI
// (0) Check whether the MDP is indeed labeled.
if (!labeledMdp.hasChoiceLabels()) {
throw storm::exceptions::InvalidArgumentException() << "Minimal label set generation is impossible for unlabeled model.";
}
// (1) TODO: check whether its possible to exceed the threshold if checkThresholdFeasible is set.
// (2) Identify relevant and problematic states.
StateInformation stateInformation = determineRelevantAndProblematicStates(labeledMdp, phiStates, psiStates);
// (3) Determine sets of relevant labels and problematic choices.
ChoiceInformation choiceInformation = determineRelevantAndProblematicChoices(labeledMdp, stateInformation);
// (4) Encode resulting system as MILP problem.
// (4.1) Initialize MILP solver and model.
std::pair<GRBenv*, GRBmodel*> environmentModelPair = getGurobiEnvironmentAndModel();
// (4.2) Create variables.
VariableInformation variableInformation = createVariables(environmentModelPair.first, environmentModelPair.second, labeledMdp, stateInformation, choiceInformation);
// Update model.
updateModel(environmentModelPair.first, environmentModelPair.second);
// Create all constraints.
buildConstraintSystem(environmentModelPair.first, environmentModelPair.second, labeledMdp, stateInformation, choiceInformation, variableInformation, probabilityThreshold);
/*!
* Asserts constraints that make sure the reachability probability is zero for states in which the policy
* does not pick any outgoing action.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
* @return The total number of constraints that were created.
*/
static uint_fast64_t assertZeroProbabilityWithoutChoice(GRBenv* env, GRBmodel* model, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
for (auto state : stateInformation.relevantStates) {
std::list<uint_fast64_t> const& choiceVariableIndices = variableInformation.stateToChoiceVariablesIndexMap.at(state);
// Add constraints that make sure the reachability probability for states that do not choose any action
// is zero.
for (auto state : relevantStates) {
std::vector<double> coefficients(relevantChoicesForRelevantStates[state].size() + 1, -1);
std::vector<double> coefficients(choiceVariableIndices.size() + 1, -1);
coefficients[0] = 1;
std::vector<int> variables;
variables.reserve(relevantChoicesForRelevantStates[state].size() + 1);
variables.push_back(stateToProbabilityVariableIndex[state]);
variables.reserve(variableInformation.stateToChoiceVariablesIndexMap.at(state).size() + 1);
variables.push_back(static_cast<int>(variableInformation.stateToProbabilityVariableIndexMap.at(state)));
uint_fast64_t currentChoiceVariableIndex = stateToStartingIndexMap[state];
for (auto choice : relevantChoicesForRelevantStates[state]) {
variables.push_back(currentChoiceVariableIndex);
++currentChoiceVariableIndex;
}
error = GRBaddconstr(model, relevantChoicesForRelevantStates[state].size() + 1, &variables[0], &coefficients[0], GRB_LESS_EQUAL, 0, nullptr);
variables.insert(variables.end(), choiceVariableIndices.begin(), choiceVariableIndices.end());
error = GRBaddconstr(model, choiceVariableIndices.size() + 1, &variables[0], &coefficients[0], GRB_LESS_EQUAL, 0, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
return numberOfConstraintsCreated;
}
// Add constraints that encode the reachability probabilities for all states.
for (auto state : relevantStates) {
/*!
* Asserts constraints that encode the correct reachability probabilties for all states.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param psiStates A bit vector characterizing the psi states in the model.
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
* @return The total number of constraints that were created.
*/
static uint_fast64_t assertReachabilityProbabilities(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& psiStates, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
for (auto state : stateInformation.relevantStates) {
std::vector<double> coefficients;
std::vector<int> variables;
uint_fast64_t currentChoiceVariableIndex = stateToStartingIndexMap[state];
for (auto choice : relevantChoicesForRelevantStates[state]) {
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(state).begin();
for (auto choice : choiceInformation.relevantChoicesForRelevantStates.at(state)) {
variables.clear();
coefficients.clear();
variables.push_back(stateToProbabilityVariableIndex[state]);
variables.push_back(static_cast<int>(variableInformation.stateToProbabilityVariableIndexMap.at(state)));
coefficients.push_back(1.0);
double rightHandSide = 1;
typename storm::storage::SparseMatrix<T>::Rows rows = transitionMatrix.getRows(choice, choice);
typename storm::storage::SparseMatrix<T>::Rows rows = labeledMdp.getTransitionMatrix().getRows(choice, choice);
for (typename storm::storage::SparseMatrix<T>::ConstIterator successorIt = rows.begin(), successorIte = rows.end(); successorIt != successorIte; ++successorIt) {
if (relevantStates.get(successorIt.column())) {
variables.push_back(stateToProbabilityVariableIndex[successorIt.column()]);
if (stateInformation.relevantStates.get(successorIt.column())) {
variables.push_back(static_cast<int>(variableInformation.stateToProbabilityVariableIndexMap.at(successorIt.column())));
coefficients.push_back(-successorIt.value());
} else if (psiStates.get(successorIt.column())) {
rightHandSide += successorIt.value();
@ -586,7 +642,7 @@ namespace storm {
}
coefficients.push_back(1);
variables.push_back(currentChoiceVariableIndex);
variables.push_back(static_cast<int>(*choiceVariableIndicesIterator));
error = GRBaddconstr(model, variables.size(), &variables[0], &coefficients[0], GRB_LESS_EQUAL, rightHandSide, nullptr);
if (error) {
@ -594,29 +650,45 @@ namespace storm {
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++currentChoiceVariableIndex;
++numberOfConstraintsCreated;
++choiceVariableIndicesIterator;
}
}
return numberOfConstraintsCreated;
}
// Add constraints that ensure reachability of at least one unproblematic state.
for (auto stateListPair : problematicChoicesForProblematicStates) {
/*!
* Asserts constraints that make sure an unproblematic state is reachable from each problematic state.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
* @return The total number of constraints that were created.
*/
static uint_fast64_t assertUnproblematicStateReachable(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
for (auto stateListPair : choiceInformation.problematicChoicesForProblematicStates) {
for (auto problematicChoice : stateListPair.second) {
uint_fast64_t currentChoiceVariableIndex = stateToStartingIndexMap[stateListPair.first];
for (auto relevantChoice : relevantChoicesForRelevantStates[stateListPair.first]) {
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(stateListPair.first).begin();
for (auto relevantChoice : choiceInformation.relevantChoicesForRelevantStates.at(stateListPair.first)) {
if (relevantChoice == problematicChoice) {
break;
}
++currentChoiceVariableIndex;
++choiceVariableIndicesIterator;
}
std::vector<int> variables;
std::vector<double> coefficients;
variables.push_back(currentChoiceVariableIndex);
variables.push_back(static_cast<int>(*choiceVariableIndicesIterator));
coefficients.push_back(1);
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = transitionMatrix.constColumnIteratorBegin(problematicChoice); successorIt != transitionMatrix.constColumnIteratorEnd(problematicChoice); ++successorIt) {
variables.push_back(problematicTransitionVariables[std::make_pair(stateListPair.first, *successorIt)]);
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(problematicChoice); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(problematicChoice); ++successorIt) {
variables.push_back(static_cast<int>(variableInformation.problematicTransitionToVariableIndexMap.at(std::make_pair(stateListPair.first, *successorIt))));
coefficients.push_back(-1);
}
@ -625,19 +697,21 @@ namespace storm {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
}
for (auto state : problematicStates) {
for (auto problematicChoice : problematicChoicesForProblematicStates[state]) {
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = transitionMatrix.constColumnIteratorBegin(problematicChoice); successorIt != transitionMatrix.constColumnIteratorEnd(problematicChoice); ++successorIt) {
for (auto state : stateInformation.problematicStates) {
for (auto problematicChoice : choiceInformation.problematicChoicesForProblematicStates.at(state)) {
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(problematicChoice); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(problematicChoice); ++successorIt) {
std::vector<int> variables;
std::vector<double> coefficients;
variables.push_back(problematicStateVariablesToIndexMap[state]);
variables.push_back(static_cast<int>(variableInformation.problematicStateToVariableIndexMap.at(state)));
coefficients.push_back(1);
variables.push_back(problematicStateVariablesToIndexMap[*successorIt]);
variables.push_back(static_cast<int>(variableInformation.problematicStateToVariableIndexMap.at(*successorIt)));
coefficients.push_back(-1);
variables.push_back(problematicTransitionVariables[std::make_pair(state, *successorIt)]);
variables.push_back(static_cast<int>(variableInformation.problematicTransitionToVariableIndexMap.at(std::make_pair(state, *successorIt))));
coefficients.push_back(1);
error = GRBaddconstr(model, variables.size(), &variables[0], &coefficients[0], GRB_LESS_EQUAL, 1 - 1e-6, nullptr);
@ -645,56 +719,381 @@ namespace storm {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
}
}
return numberOfConstraintsCreated;
}
// Update model to incorporate prior changes.
error = GRBupdatemodel(model);
/*!
* Asserts constraints that rule out many suboptimal policies.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param psiStates A bit vector characterizing the psi states in the model.
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
* @return The total number of constraints that were created.
*/
static uint_fast64_t assertSchedulerCuts(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& psiStates, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
storm::storage::SparseMatrix<bool> backwardTransitions = labeledMdp.getBackwardTransitions();
uint_fast64_t numberOfConstraintsCreated = 0;
int error = 0;
for (auto state : stateInformation.relevantStates) {
// Assert that all states, that select an action, this action either has a non-zero probability to
// go to a psi state directly, or in the successor states, at least one action is selected as well.
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(state).begin();
for (auto choice : choiceInformation.relevantChoicesForRelevantStates.at(state)) {
bool psiStateReachableInOneStep = false;
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(choice); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(choice); ++successorIt) {
if (psiStates.get(*successorIt)) {
psiStateReachableInOneStep = true;
}
}
if (!psiStateReachableInOneStep) {
std::vector<int> variables;
std::vector<double> coefficients;
variables.push_back(static_cast<int>(*choiceVariableIndicesIterator));
coefficients.push_back(1);
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(choice); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(choice); ++successorIt) {
if (state != *successorIt && stateInformation.relevantStates.get(*successorIt)) {
std::list<uint_fast64_t> const& successorChoiceVariableIndices = variableInformation.stateToChoiceVariablesIndexMap.at(*successorIt);
for (auto choiceVariableIndex : successorChoiceVariableIndices) {
variables.push_back(static_cast<int>(choiceVariableIndex));
coefficients.push_back(-1);
}
}
}
error = GRBaddconstr(model, variables.size(), &variables[0], &coefficients[0], GRB_LESS_EQUAL, 0, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to update Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to update Gurobi model (" << GRBgeterrormsg(env) << ").";
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
++choiceVariableIndicesIterator;
}
// For all states except for the initial state, assert that there is a selected incoming transition
// in the subsystem if there is one selected action in the current state.
if (!labeledMdp.getLabeledStates("init").get(state)) {
std::vector<int> variables;
std::vector<double> coefficients;
for (auto choiceVariableIndex : variableInformation.stateToChoiceVariablesIndexMap.at(state)) {
variables.push_back(static_cast<int>(choiceVariableIndex));
coefficients.push_back(1);
}
// Compute the set of predecessors.
std::unordered_set<uint_fast64_t> predecessors;
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator predecessorIt = backwardTransitions.constColumnIteratorBegin(state); predecessorIt != backwardTransitions.constColumnIteratorEnd(state); ++predecessorIt) {
if (state != *predecessorIt) {
predecessors.insert(*predecessorIt);
}
}
for (auto predecessor : predecessors) {
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(predecessor).begin();
for (auto relevantChoice : choiceInformation.relevantChoicesForRelevantStates.at(predecessor)) {
bool choiceTargetsCurrentState = false;
// Check if the current choice targets the current state.
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(relevantChoice); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(relevantChoice); ++successorIt) {
if (state == *successorIt) {
choiceTargetsCurrentState = true;
break;
}
}
// If it does, we can add the choice to the sum.
if (choiceTargetsCurrentState) {
variables.push_back(static_cast<int>(*choiceVariableIndicesIterator));
coefficients.push_back(-1);
}
++choiceVariableIndicesIterator;
}
}
error = GRBwrite(model, "storm.lp");
error = GRBaddconstr(model, variables.size(), &variables[0], &coefficients[0], GRB_LESS_EQUAL, 0, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to write Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to write Gurobi model (" << GRBgeterrormsg(env) << ").";
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
} else {
// Assert that the initial state selects an action.
std::vector<int> variables;
std::vector<double> coefficients;
for (auto choiceVariableIndex : variableInformation.stateToChoiceVariablesIndexMap.at(state)) {
variables.push_back(static_cast<int>(choiceVariableIndex));
coefficients.push_back(1);
}
error = GRBoptimize(model);
error = GRBaddconstr(model, variables.size(), &variables[0], &coefficients[0], GRB_GREATER_EQUAL, 1, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to optimize Gurobi model (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to optimize Gurobi model (" << GRBgeterrormsg(env) << ").";
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
}
}
std::vector<double> solution(labelToIndexMap.size());
error = GRBgetdblattrarray(model, GRB_DBL_ATTR_X, 0, labelToIndexMap.size(), &solution[0]);
// Add constraints that ensure at least one choice is selected that targets a psi state.
std::vector<int> variables;
std::vector<double> coefficients;
std::unordered_set<uint_fast64_t> predecessors;
for (auto psiState : psiStates) {
// Compute the set of predecessors.
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator predecessorIt = backwardTransitions.constColumnIteratorBegin(psiState); predecessorIt != backwardTransitions.constColumnIteratorEnd(psiState); ++predecessorIt) {
if (psiState != *predecessorIt) {
predecessors.insert(*predecessorIt);
}
}
}
for (auto predecessor : predecessors) {
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(predecessor).begin();
for (auto relevantChoice : choiceInformation.relevantChoicesForRelevantStates.at(predecessor)) {
bool choiceTargetsPsiState = false;
// Check if the current choice targets the current state.
for (typename storm::storage::SparseMatrix<T>::ConstIndexIterator successorIt = labeledMdp.getTransitionMatrix().constColumnIteratorBegin(relevantChoice); successorIt != labeledMdp.getTransitionMatrix().constColumnIteratorEnd(relevantChoice); ++successorIt) {
if (psiStates.get(*successorIt)) {
choiceTargetsPsiState = true;
break;
}
}
// If it does, we can add the choice to the sum.
if (choiceTargetsPsiState) {
variables.push_back(static_cast<int>(*choiceVariableIndicesIterator));
coefficients.push_back(1);
}
++choiceVariableIndicesIterator;
}
}
error = GRBaddconstr(model, variables.size(), &variables[0], &coefficients[0], GRB_GREATER_EQUAL, 1, nullptr);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to assert constraint (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to assert constraint (" << GRBgeterrormsg(env) << ").";
}
++numberOfConstraintsCreated;
return numberOfConstraintsCreated;
}
/*!
* Builds a system of constraints that express that the reachability probability in the subsystem exceeeds
* the given threshold.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param psiStates A bit vector characterizing all psi states in the model.
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
* @param probabilityThreshold The probability threshold the subsystem is required to exceed.
* @param includeSchedulerCuts If set to true, additional constraints are asserted that reduce the set of
* possible choices.
*/
static void buildConstraintSystem(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& psiStates, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation, T probabilityThreshold, bool includeSchedulerCuts = false) {
// Assert that the reachability probability in the subsystem exceeds the given threshold.
uint_fast64_t numberOfConstraints = assertProbabilityGreaterThanThreshold(env, model, labeledMdp, variableInformation, probabilityThreshold);
// Add constraints that assert the policy takes at most one action in each state.
numberOfConstraints += assertValidPolicy(env, model, stateInformation, variableInformation);
// Add constraints that assert the labels that belong to some taken choices are taken as well.
numberOfConstraints += assertChoicesImplyLabels(env, model, labeledMdp, stateInformation, choiceInformation, variableInformation);
// Add constraints that encode that the reachability probability from states which do not pick any action
// is zero.
numberOfConstraints += assertZeroProbabilityWithoutChoice(env, model, stateInformation, choiceInformation, variableInformation);
// Add constraints that encode the reachability probabilities for states.
numberOfConstraints += assertReachabilityProbabilities(env, model, labeledMdp, psiStates, stateInformation, choiceInformation, variableInformation);
// Add constraints that ensure the reachability of an unproblematic state from each problematic state.
numberOfConstraints += assertUnproblematicStateReachable(env, model, labeledMdp, stateInformation, choiceInformation, variableInformation);
// If required, assert additional constraints that reduce the number of possible policies.
if (includeSchedulerCuts) {
numberOfConstraints += assertSchedulerCuts(env, model, labeledMdp, psiStates, stateInformation, choiceInformation, variableInformation);
}
LOG4CPLUS_INFO(logger, "Successfully created " << numberOfConstraints << " Gurobi constraints.");
}
/*!
* Computes the set of labels that was used in the given optimized model.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param variableInformation A struct with information about the variables of the model.
*/
static std::unordered_set<uint_fast64_t> getUsedLabelsInSolution(GRBenv* env, GRBmodel* model, VariableInformation const& variableInformation) {
int error = 0;
// Check whether the model was optimized, so we can read off the solution.
if (checkGurobiModelIsOptimized(env, model)) {
std::unordered_set<uint_fast64_t> result;
double value = 0;
for (auto labelVariablePair : variableInformation.labelToVariableIndexMap) {
error = GRBgetdblattrelement(model, GRB_DBL_ATTR_X, labelVariablePair.second, &value);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution (" << GRBgeterrormsg(env) << ").";
}
for (auto labelIndexPair : labelToIndexMap) {
std::cout << "label: " << labelIndexPair.first << " with value " << solution[labelIndexPair.second] << std::endl;
if (value == 1) {
result.insert(labelVariablePair.first);
} else if (value != 0) {
LOG4CPLUS_ERROR(logger, "Illegal value for binary variable in Gurobi solution (" << value << ").");
throw storm::exceptions::InvalidStateException() << "Illegal value for binary variable in Gurobi solution (" << value << ").";
}
}
return result;
}
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution from unoptimized model.");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution from unoptimized model.";
}
/*!
* Computes a mapping from relevant states to choices such that a state is mapped to one of its choices if
* it is selected by the subsystem computed by the solver.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param stateInformation The information about the states in the model.
* @param choiceInformation The information about the choices in the model.
* @param variableInformation A struct with information about the variables of the model.
*/
static std::map<uint_fast64_t, uint_fast64_t> getChoices(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, StateInformation const& stateInformation, ChoiceInformation const& choiceInformation, VariableInformation const& variableInformation) {
int error = 0;
if (checkGurobiModelIsOptimized(env, model)) {
std::map<uint_fast64_t, uint_fast64_t> result;
double value = 0;
for (auto state : stateInformation.relevantStates) {
std::list<uint_fast64_t>::const_iterator choiceVariableIndicesIterator = variableInformation.stateToChoiceVariablesIndexMap.at(state).begin();
for (auto choice : choiceInformation.relevantChoicesForRelevantStates.at(state)) {
error = GRBgetdblattrelement(model, GRB_DBL_ATTR_X, *choiceVariableIndicesIterator, &value);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution (" << GRBgeterrormsg(env) << ").";
}
++choiceVariableIndicesIterator;
if (value == 1) {
result.emplace_hint(result.end(), state, choice);
} else if (value != 0) {
LOG4CPLUS_ERROR(logger, "Illegal value for binary variable in Gurobi solution (" << value << ").");
throw storm::exceptions::InvalidStateException() << "Illegal value for binary variable in Gurobi solution (" << value << ").";
}
}
}
return result;
}
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution from unoptimized model.");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution from unoptimized model.";
}
/*!
* Computes the reachability probability of the first initial state in the given optimized Gurobi model.
*
* @param env The Gurobi environment.
* @param model The Gurobi model.
* @param labeledMdp The labeled MDP.
* @param variableInformation A struct with information about the variables of the model.
*/
static double getReachabilityProbability(GRBenv* env, GRBmodel* model, storm::models::Mdp<T> const& labeledMdp, VariableInformation const& variableInformation) {
int error = 0;
// Check whether the model was optimized, so we can read off the solution.
if (checkGurobiModelIsOptimized(env, model)) {
double reachabilityProbability = 0;
error = GRBgetdblattrarray(model, GRB_DBL_ATTR_X, stateToProbabilityVariableIndex[0], 1, &reachabilityProbability);
std::cout << "prob: " << reachabilityProbability << std::endl;
storm::storage::BitVector const& initialStates = labeledMdp.getLabeledStates("init");
for (auto initialState : initialStates) {
error = GRBgetdblattrelement(model, GRB_DBL_ATTR_X, variableInformation.stateToProbabilityVariableIndexMap.at(initialState), &reachabilityProbability);
if (error) {
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution (" << GRBgeterrormsg(env) << ").");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution (" << GRBgeterrormsg(env) << ").";
}
break;
}
return reachabilityProbability;
}
LOG4CPLUS_ERROR(logger, "Unable to get Gurobi solution from unoptimized model.");
throw storm::exceptions::InvalidStateException() << "Unable to get Gurobi solution from unoptimized model.";
}
public:
static std::unordered_set<uint_fast64_t> getMinimalLabelSet(storm::models::Mdp<T> const& labeledMdp, storm::storage::BitVector const& phiStates, storm::storage::BitVector const& psiStates, T probabilityThreshold, bool checkThresholdFeasible = false, bool includeSchedulerCuts = false) {
#ifdef HAVE_GUROBI
// (0) Check whether the MDP is indeed labeled.
if (!labeledMdp.hasChoiceLabels()) {
throw storm::exceptions::InvalidArgumentException() << "Minimal label set generation is impossible for unlabeled model.";
}
// (1) FIXME: check whether its possible to exceed the threshold if checkThresholdFeasible is set.
// (2) Identify relevant and problematic states.
StateInformation stateInformation = determineRelevantAndProblematicStates(labeledMdp, phiStates, psiStates);
// (3) Determine sets of relevant labels and problematic choices.
ChoiceInformation choiceInformation = determineRelevantAndProblematicChoices(labeledMdp, stateInformation, psiStates);
// (4) Encode resulting system as MILP problem.
// (4.1) Initialize Gurobi environment and model.
std::pair<GRBenv*, GRBmodel*> environmentModelPair = createGurobiEnvironmentAndModel();
// (4.2) Create variables.
VariableInformation variableInformation = createVariables(environmentModelPair.first, environmentModelPair.second, labeledMdp, stateInformation, choiceInformation);
// Update model.
updateModel(environmentModelPair.first, environmentModelPair.second);
// (4.3) Construct constraint system.
buildConstraintSystem(environmentModelPair.first, environmentModelPair.second, labeledMdp, psiStates, stateInformation, choiceInformation, variableInformation, probabilityThreshold, includeSchedulerCuts);
// Update model.
updateModel(environmentModelPair.first, environmentModelPair.second);
// writeModelToFile(environmentModelPair.first, environmentModelPair.second, "storm.lp");
// (4.4) Optimize the model.
optimizeModel(environmentModelPair.first, environmentModelPair.second);
// (3.4) Construct constraint system.
// (4) Read off result from MILP variables.
// (4.5) Read off result from variables.
std::unordered_set<uint_fast64_t> usedLabelSet = getUsedLabelsInSolution(environmentModelPair.first, environmentModelPair.second, variableInformation);
// (5) Shutdown MILP solver.
GRBfreemodel(environmentModelPair.second);
GRBfreeenv(environmentModelPair.first);
// Display achieved probability.
std::cout << "Achieved probability " << getReachabilityProbability(environmentModelPair.first, environmentModelPair.second, labeledMdp, variableInformation);
// (6) Potentially verify whether the resulting system exceeds the given threshold.
// (7) Return result.
// (4.6) Shutdown Gurobi.
destroyGurobiModelAndEnvironment(environmentModelPair.first, environmentModelPair.second);
// FIXME: Return fake result for the time being.
return relevantLabels;
// (5) Return result.
return usedLabelSet;
#else
throw storm::exceptions::NotImplementedException() << "This functionality is unavailable if StoRM is compiled without support for Gurobi.";
#endif

2
src/storm.cpp
View File

@ -340,7 +340,7 @@ int main(const int argc, const char* argv[]) {
storm::storage::BitVector const& finishedStates = labeledMdp->getLabeledStates("finished");
storm::storage::BitVector const& allCoinsEqual1States = labeledMdp->getLabeledStates("all_coins_equal_1");
storm::storage::BitVector targetStates = finishedStates & allCoinsEqual1States;
storm::counterexamples::MinimalLabelSetGenerator<double>::getMinimalLabelSet(*labeledMdp, storm::storage::BitVector(labeledMdp->getNumberOfStates(), true), targetStates, 0.2, true);
storm::counterexamples::MinimalLabelSetGenerator<double>::getMinimalLabelSet(*labeledMdp, storm::storage::BitVector(labeledMdp->getNumberOfStates(), true), targetStates, 0.3, true, true);
}
}

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