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// Copyright 2010-2025 Google LLC
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// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
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// Frequency Assignment Problem
// The Radio Link Frequency Assignment Problem consists in assigning frequencies
// to a set of radio links defined between pairs of sites in order to avoid
// interferences. Each radio link is represented by a variable whose domain is
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// the set of all frequencies that are available for this link.
// The essential constraint involving two variables of the problem F1 and F2,
// which represent two frequencies in the spectrum, is
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// |F1 - F2| > k12, where k12 is a predefined constant value.
// The Frequency Assignment Problem is an NP-complete problem as proved by means
// of reduction from k-Colorability problem for undirected graphs.
// The solution of the problem can be based on various criteria:
// - Simple satisfaction
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// - Minimizing the number of distinct frequencies used
// - Minimizing the maximum frequency used, i.e. minimizing the total width of
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// the spectrum
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// - Minimizing a weighted sum of violated constraints if the problem is
// inconsistent
// More on the Frequency Assignment Problem and the data format of its instances
// can be found at: http://www.inra.fr/mia/T/schiex/Doc/CELAR.shtml#synt
//
// Implementation
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// Two solvers are implemented: The HardFapSolver finds the solution to
// feasible instances of the problem with objective either the minimization of
// the largest frequency assigned or the minimization of the number of
// frequencies used to the solution.
// The SoftFapSolver is optimizes the unfeasible instances. Some of the
// constraints of these instances may actually be soft constraints which may be
// violated at some predefined constant cost. The SoftFapSolver aims to minimize
// the total cost of violated constraints, i.e. to minimize the sum of all the
// violation costs.
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// If the latter solver is forced to solve a feasible instance, the main
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// function redirects to the former, afterwards.
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//
#include <algorithm>
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#include <cstdint>
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#include <string>
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#include <utility>
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#include <vector>
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#include "absl/container/btree_map.h"
#include "absl/strings/string_view.h"
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#include "absl/types/span.h"
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#include "examples/cpp/fap_model_printer.h"
#include "examples/cpp/fap_parser.h"
#include "examples/cpp/fap_utilities.h"
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#include "ortools/base/init_google.h"
#include "ortools/base/logging.h"
#include "ortools/base/map_util.h"
#include "ortools/constraint_solver/constraint_solver.h"
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ABSL_FLAG(std::string, directory, "", "Specifies the directory of the data.");
ABSL_FLAG(std::string, value_evaluator, "",
"Specifies if a value evaluator will be used by the "
"decision builder.");
ABSL_FLAG(std::string, variable_evaluator, "",
"Specifies if a variable evaluator will be used by the "
"decision builder.");
ABSL_FLAG(int, time_limit_in_ms, 0, "Time limit in ms, <= 0 means no limit.");
ABSL_FLAG(int, choose_next_variable_strategy, 1,
"Selection strategy for variable: "
"1 = CHOOSE_FIRST_UNBOUND, "
"2 = CHOOSE_MIN_SIZE_LOWEST_MIN, "
"3 = CHOOSE_MIN_SIZE_HIGHEST_MAX, "
"4 = CHOOSE_RANDOM, ");
ABSL_FLAG(int, restart, -1, "Parameter for constant restart monitor.");
ABSL_FLAG(bool, find_components, false,
"If possible, split the problem into independent sub-problems.");
ABSL_FLAG(bool, luby, false,
"Use luby restart monitor instead of constant restart monitor.");
ABSL_FLAG(bool, log_search, true, "Create a search log.");
ABSL_FLAG(bool, soft, false, "Use soft solver instead of hard solver.");
ABSL_FLAG(bool, display_time, true,
"Print how much time the solving process took.");
ABSL_FLAG(bool, display_results, true,
"Print the results of the solving process.");
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namespace operations_research {
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// Decision on the relative order that the two variables of a constraint
// will have. It takes as parameters the components of the constraint.
class OrderingDecision : public Decision {
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public:
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OrderingDecision(IntVar* const variable1, IntVar* const variable2, int value,
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std::string operation)
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: variable1_(variable1),
variable2_(variable2),
value_(value),
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operator_(std::move(operation)) {}
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// This type is neither copyable nor movable.
OrderingDecision(const OrderingDecision&) = delete;
OrderingDecision& operator=(const OrderingDecision&) = delete;
~OrderingDecision() override = default;
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// Apply will be called first when the decision is executed.
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void Apply(Solver* const s) override {
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// variable1 < variable2
MakeDecision(s, variable1_, variable2_);
}
// Refute will be called after a backtrack.
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void Refute(Solver* const s) override {
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// variable1 > variable2
MakeDecision(s, variable2_, variable1_);
}
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private:
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void MakeDecision(Solver* s, IntVar* variable1, IntVar* variable2) {
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if (operator_ == ">") {
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IntExpr* difference = (s->MakeDifference(variable2, variable1));
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s->AddConstraint(s->MakeGreater(difference, value_));
} else if (operator_ == "=") {
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IntExpr* difference = (s->MakeDifference(variable2, variable1));
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s->AddConstraint(s->MakeEquality(difference, value_));
} else {
LOG(FATAL) << "No right operator specified.";
}
}
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IntVar* const variable1_;
IntVar* const variable2_;
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const int value_;
const std::string operator_;
};
// Decision on whether a soft constraint will be added to a model
// or if it will be violated.
class ConstraintDecision : public Decision {
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public:
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explicit ConstraintDecision(IntVar* const constraint_violation)
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: constraint_violation_(constraint_violation) {}
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// This type is neither copyable nor movable.
ConstraintDecision(const ConstraintDecision&) = delete;
ConstraintDecision& operator=(const ConstraintDecision&) = delete;
~ConstraintDecision() override = default;
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// Apply will be called first when the decision is executed.
void Apply(Solver* const) override {
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// The constraint with which the builder is dealing, will be satisfied.
constraint_violation_->SetValue(0);
}
// Refute will be called after a backtrack.
void Refute(Solver* const) override {
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// The constraint with which the builder is dealing, will not be satisfied.
constraint_violation_->SetValue(1);
}
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private:
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IntVar* const constraint_violation_;
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};
// The ordering builder resolves the relative order of the two variables
// included in each of the constraints of the problem. In that way the
// solving becomes much more efficient since we are branching on the
// disjunction implied by the absolute value expression.
class OrderingBuilder : public DecisionBuilder {
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public:
enum Order { LESS = -1, EQUAL = 0, GREATER = 1 };
OrderingBuilder(const absl::btree_map<int, FapVariable>& data_variables,
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const std::vector<FapConstraint>& data_constraints,
const std::vector<IntVar*>& variables,
const std::vector<IntVar*>& violated_constraints,
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const absl::btree_map<int, int>& index_from_key)
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: data_variables_(data_variables),
data_constraints_(data_constraints),
variables_(variables),
violated_constraints_(violated_constraints),
index_from_key_(index_from_key),
size_(data_constraints.size()),
iter_(0),
checked_iter_(0) {
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for (const auto& it : data_variables_) {
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int first_element = (it.second.domain)[0];
minimum_value_available_.push_back(first_element);
variable_state_.push_back(EQUAL);
}
CHECK_EQ(minimum_value_available_.size(), variables_.size());
CHECK_EQ(variable_state_.size(), variables_.size());
}
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// This type is neither copyable nor movable.
OrderingBuilder(const OrderingBuilder&) = delete;
OrderingBuilder& operator=(const OrderingBuilder&) = delete;
~OrderingBuilder() override = default;
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Decision* Next(Solver* const s) override {
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if (iter_ < size_) {
FapConstraint constraint = data_constraints_[iter_];
const int index1 = gtl::FindOrDie(index_from_key_, constraint.variable1);
const int index2 = gtl::FindOrDie(index_from_key_, constraint.variable2);
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IntVar* variable1 = variables_[index1];
IntVar* variable2 = variables_[index2];
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// checked_iter is equal to 0 means that whether the constraint is to be
// added or dropped hasn't been checked.
// If it is equal to 1, this has already been checked and the ordering
// of the constraint is to be done.
if (!checked_iter_ && !constraint.hard) {
// New Soft Constraint: Check if it will be added or dropped.
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ConstraintDecision* constraint_decision =
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new ConstraintDecision(violated_constraints_[iter_]);
s->SaveAndAdd(&checked_iter_, 1);
return s->RevAlloc(constraint_decision);
}
// The constraint is either hard or soft and checked already.
if (violated_constraints_[iter_]->Bound() &&
violated_constraints_[iter_]->Value() == 0) {
// If the constraint is added, do the ordering of its variables.
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OrderingDecision* ordering_decision;
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Order hint = Hint(constraint);
if (hint == LESS || hint == EQUAL) {
ordering_decision = new OrderingDecision(
variable1, variable2, constraint.value, constraint.operation);
} else {
ordering_decision = new OrderingDecision(
variable2, variable1, constraint.value, constraint.operation);
}
// Proceed to the next constraint.
s->SaveAndAdd(&iter_, 1);
// Assign checked_iter_ back to 0 to flag a new unchecked constraint.
s->SaveAndSetValue(&checked_iter_, 0);
return s->RevAlloc(ordering_decision);
} else {
// The constraint was dropped.
return nullptr;
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}
} else {
// All the constraints were processed. No decision to take.
return nullptr;
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}
}
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private:
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Order Variable1LessVariable2(const int variable1, const int variable2,
const int value) {
minimum_value_available_[variable2] =
std::max(minimum_value_available_[variable2],
minimum_value_available_[variable1] + value);
return LESS;
}
Order Variable1GreaterVariable2(const int variable1, const int variable2,
const int value) {
minimum_value_available_[variable1] =
std::max(minimum_value_available_[variable1],
minimum_value_available_[variable2] + value);
return GREATER;
}
// The Hint() function takes as parameter a constraint of the model and
// returns the most probable relative order that the two variables
// involved in the constraint should have.
// The function reaches such a decision, by taking into consideration if
// variable1 or variable2 or both have been denoted as less (state = -1)
// or greater (state = 1) than another variable in a previous constraint
// and tries to maintain the same state in the current constraint too.
// If both variables have the same state, the variable whose minimum value is
// the smallest is set to be lower than the other one.
// If none of the above are applicable variable1 is set to be lower than
// variable2. This ordering is more efficient if used with the
// Solver::ASSIGN_MIN_VALUE value selection strategy.
// It returns 1 if variable1 > variable2 or -1 if variable1 < variable2.
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Order Hint(const FapConstraint& constraint) {
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const int id1 = constraint.variable1;
const int id2 = constraint.variable2;
const int variable1 = gtl::FindOrDie(index_from_key_, id1);
const int variable2 = gtl::FindOrDie(index_from_key_, id2);
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const int value = constraint.value;
CHECK_LT(variable1, variable_state_.size());
CHECK_LT(variable2, variable_state_.size());
CHECK_LT(variable1, minimum_value_available_.size());
CHECK_LT(variable2, minimum_value_available_.size());
if (variable_state_[variable1] > variable_state_[variable2]) {
variable_state_[variable1] = GREATER;
variable_state_[variable2] = LESS;
return Variable1GreaterVariable2(variable1, variable2, value);
} else if (variable_state_[variable1] < variable_state_[variable2]) {
variable_state_[variable1] = LESS;
variable_state_[variable2] = GREATER;
return Variable1LessVariable2(variable1, variable2, value);
} else {
if (variable_state_[variable1] == 0 && variable_state_[variable2] == 0) {
variable_state_[variable1] = LESS;
variable_state_[variable2] = GREATER;
return Variable1LessVariable2(variable1, variable2, value);
} else {
if (minimum_value_available_[variable1] >
minimum_value_available_[variable2]) {
return Variable1GreaterVariable2(variable1, variable2, value);
} else {
return Variable1LessVariable2(variable1, variable2, value);
}
}
}
}
// Passed as arguments from the function that creates the Decision Builder.
const absl::btree_map<int, FapVariable> data_variables_;
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const std::vector<FapConstraint> data_constraints_;
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const std::vector<IntVar*> variables_;
const std::vector<IntVar*> violated_constraints_;
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const absl::btree_map<int, int> index_from_key_;
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// Used by Next() for monitoring decisions.
const int size_;
int iter_;
int checked_iter_;
// Used by Hint() for indicating the most probable ordering.
std::vector<Order> variable_state_;
std::vector<int> minimum_value_available_;
};
// A comparator for sorting the constraints depending on their impact.
bool ConstraintImpactComparator(FapConstraint constraint1,
FapConstraint constraint2) {
if (constraint1.impact == constraint2.impact) {
return (constraint1.value > constraint2.value);
}
return (constraint1.impact > constraint2.impact);
}
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int64_t ValueEvaluator(
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absl::flat_hash_map<int64_t, std::pair<int64_t, int64_t>>*
value_evaluator_map,
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int64_t variable_index, int64_t value) {
CHECK(value_evaluator_map != nullptr);
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// Evaluate the choice. Smaller ranking denotes a better choice.
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int64_t ranking = -1;
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for (const auto& it : *value_evaluator_map) {
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if ((it.first != variable_index) && (it.second.first == value)) {
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ranking = -2;
break;
}
}
// Update the history of assigned values and their rankings of each variable.
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absl::flat_hash_map<int64_t, std::pair<int64_t, int64_t>>::iterator it;
int64_t new_value = value;
int64_t new_ranking = ranking;
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if ((it = value_evaluator_map->find(variable_index)) !=
value_evaluator_map->end()) {
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std::pair<int64_t, int64_t> existing_value_ranking = it->second;
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// Replace only if the current choice for this variable has smaller
// ranking or same ranking but smaller value of the existing choice.
if (!(existing_value_ranking.second > ranking ||
(existing_value_ranking.second == ranking &&
existing_value_ranking.first > value))) {
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new_value = existing_value_ranking.first;
new_ranking = existing_value_ranking.second;
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}
}
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std::pair<int64_t, int64_t> new_value_ranking =
std::make_pair(new_value, new_ranking);
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value_evaluator_map->insert_or_assign(variable_index, new_value_ranking);
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return new_ranking;
}
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// The variables which participate in more constraints and have the
// smaller domain should be in higher priority for assignment.
int64_t VariableEvaluator(
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absl::Span<const int> key_from_index,
const absl::btree_map<int, FapVariable>& data_variables,
int64_t variable_index) {
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FapVariable variable =
gtl::FindOrDie(data_variables, key_from_index[variable_index]);
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int64_t result = -(variable.degree * 100 / variable.domain_size);
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return result;
}
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// Creates the variables of the solver from the parsed data.
void CreateModelVariables(
const absl::btree_map<int, FapVariable>& data_variables, Solver* solver,
std::vector<IntVar*>* model_variables,
absl::btree_map<int, int>* index_from_key,
std::vector<int>* key_from_index) {
CHECK(solver != nullptr);
CHECK(model_variables != nullptr);
CHECK(index_from_key != nullptr);
CHECK(key_from_index != nullptr);
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const int number_of_variables = static_cast<int>(data_variables.size());
model_variables->resize(number_of_variables);
key_from_index->resize(number_of_variables);
int index = 0;
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for (const auto& it : data_variables) {
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CHECK_LT(index, model_variables->size());
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(*model_variables)[index] = solver->MakeIntVar(it.second.domain);
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index_from_key->insert_or_assign(it.first, index);
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(*key_from_index)[index] = it.first;
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if ((it.second.initial_position != -1) && (it.second.hard)) {
CHECK_LT(it.second.mobility_cost, 0);
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solver->AddConstraint(solver->MakeEquality((*model_variables)[index],
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it.second.initial_position));
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}
index++;
}
}
// Creates the constraints of the instance from the parsed data.
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void CreateModelConstraints(absl::Span<const FapConstraint> data_constraints,
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const std::vector<IntVar*>& variables,
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const absl::btree_map<int, int>& index_from_key,
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Solver* solver) {
CHECK(solver != nullptr);
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for (const FapConstraint& ct : data_constraints) {
const int index1 = gtl::FindOrDie(index_from_key, ct.variable1);
const int index2 = gtl::FindOrDie(index_from_key, ct.variable2);
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CHECK_LT(index1, variables.size());
CHECK_LT(index2, variables.size());
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IntVar* var1 = variables[index1];
IntVar* var2 = variables[index2];
IntVar* absolute_difference =
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solver->MakeAbs(solver->MakeDifference(var1, var2))->Var();
if (ct.operation == ">") {
solver->AddConstraint(solver->MakeGreater(absolute_difference, ct.value));
} else if (ct.operation == "=") {
solver->AddConstraint(
solver->MakeEquality(absolute_difference, ct.value));
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} else {
LOG(FATAL) << "Invalid operator detected.";
return;
}
}
}
// According to the value of a command line flag, chooses the strategy which
// determines the selection of the variable to be assigned next.
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void ChooseVariableStrategy(Solver::IntVarStrategy* variable_strategy) {
CHECK(variable_strategy != nullptr);
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switch (absl::GetFlag(FLAGS_choose_next_variable_strategy)) {
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case 1: {
*variable_strategy = Solver::CHOOSE_FIRST_UNBOUND;
LOG(INFO) << "Using Solver::CHOOSE_FIRST_UNBOUND "
"for variable selection strategy.";
break;
}
case 2: {
*variable_strategy = Solver::CHOOSE_MIN_SIZE_LOWEST_MIN;
LOG(INFO) << "Using Solver::CHOOSE_MIN_SIZE_LOWEST_MIN "
"for variable selection strategy.";
break;
}
case 3: {
*variable_strategy = Solver::CHOOSE_MIN_SIZE_HIGHEST_MAX;
LOG(INFO) << "Using Solver::CHOOSE_MIN_SIZE_HIGHEST_MAX "
"for variable selection strategy.";
break;
}
case 4: {
*variable_strategy = Solver::CHOOSE_RANDOM;
LOG(INFO) << "Using Solver::CHOOSE_RANDOM "
"for variable selection strategy.";
break;
}
default: {
LOG(FATAL) << "Should not be here";
return;
}
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}
}
// According to the values of some command line flags, adds some monitors
// for the search of the Solver.
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void CreateAdditionalMonitors(OptimizeVar* const objective, Solver* solver,
std::vector<SearchMonitor*>* monitors) {
CHECK(solver != nullptr);
CHECK(monitors != nullptr);
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// Search Log
if (absl::GetFlag(FLAGS_log_search)) {
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SearchMonitor* const log = solver->MakeSearchLog(100000, objective);
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monitors->push_back(log);
}
// Time Limit
if (absl::GetFlag(FLAGS_time_limit_in_ms) != 0) {
LOG(INFO) << "Adding time limit of "
<< absl::GetFlag(FLAGS_time_limit_in_ms) << " ms.";
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SearchLimit* const limit = solver->MakeTimeLimit(
absl::Milliseconds(absl::GetFlag(FLAGS_time_limit_in_ms)));
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monitors->push_back(limit);
}
// Search Restart
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SearchMonitor* const restart =
absl::GetFlag(FLAGS_restart) != -1
? (absl::GetFlag(FLAGS_luby)
? solver->MakeLubyRestart(absl::GetFlag(FLAGS_restart))
: solver->MakeConstantRestart(absl::GetFlag(FLAGS_restart)))
: nullptr;
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if (restart) {
monitors->push_back(restart);
}
}
// The Hard Solver is dealing with finding the solution to feasible
// instances of the problem with objective either the minimization of
// the largest frequency assigned or the minimization of the number
// of frequencies used to the solution.
void HardFapSolver(const absl::btree_map<int, FapVariable>& data_variables,
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const std::vector<FapConstraint>& data_constraints,
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absl::string_view data_objective,
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const std::vector<int>& values) {
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Solver solver("HardFapSolver");
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std::vector<SearchMonitor*> monitors;
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// Create Model Variables.
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std::vector<IntVar*> variables;
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absl::btree_map<int, int> index_from_key;
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std::vector<int> key_from_index;
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CreateModelVariables(data_variables, &solver, &variables, &index_from_key,
&key_from_index);
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// Create Model Constraints.
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CreateModelConstraints(data_constraints, variables, index_from_key, &solver);
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// Order the constraints according to their impact in the instance.
std::vector<FapConstraint> ordered_constraints(data_constraints);
std::sort(ordered_constraints.begin(), ordered_constraints.end(),
ConstraintImpactComparator);
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std::vector<IntVar*> violated_constraints;
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solver.MakeIntVarArray(ordered_constraints.size(), 0, 0,
&violated_constraints);
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// Objective:
// Either minimize the largest assigned frequency or
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// minimize the number of different frequencies assigned.
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IntVar* objective_var;
OptimizeVar* objective;
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if (data_objective == "Minimize the largest assigned value.") {
LOG(INFO) << "Minimize the largest assigned value.";
// The objective_var is set to hold the maximum value assigned
// in the variables vector.
objective_var = solver.MakeMax(variables)->Var();
objective = solver.MakeMinimize(objective_var, 1);
} else if (data_objective == "Minimize the number of assigned values.") {
LOG(INFO) << "Minimize the number of assigned values.";
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std::vector<IntVar*> cardinality;
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solver.MakeIntVarArray(static_cast<int>(values.size()), 0,
static_cast<int>(variables.size()), &cardinality);
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solver.AddConstraint(solver.MakeDistribute(variables, values, cardinality));
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std::vector<IntVar*> value_not_assigned;
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value_not_assigned.reserve(values.size());
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for (int val = 0; val < values.size(); ++val) {
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value_not_assigned.push_back(
solver.MakeIsEqualCstVar(cardinality[val], 0));
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}
CHECK(!value_not_assigned.empty());
// The objective_var is set to maximize the number of values
// that have not been assigned to a variable.
objective_var = solver.MakeSum(value_not_assigned)->Var();
objective = solver.MakeMaximize(objective_var, 1);
} else {
LOG(FATAL) << "No right objective specified.";
return;
}
monitors.push_back(objective);
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// Ordering Builder
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OrderingBuilder* ob = solver.RevAlloc(
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new OrderingBuilder(data_variables, ordered_constraints, variables,
violated_constraints, index_from_key));
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// Decision Builder Configuration
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// Choose the next variable selection strategy.
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Solver::IntVarStrategy variable_strategy;
ChooseVariableStrategy(&variable_strategy);
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// Choose the value selection strategy.
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DecisionBuilder* db;
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absl::flat_hash_map<int64_t, std::pair<int64_t, int64_t>> history;
if (absl::GetFlag(FLAGS_value_evaluator) == "value_evaluator") {
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LOG(INFO) << "Using ValueEvaluator for value selection strategy.";
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Solver::IndexEvaluator2 index_evaluator2 = [&history](int64_t var,
int64_t value) {
return ValueEvaluator(&history, var, value);
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};
LOG(INFO) << "Using ValueEvaluator for value selection strategy.";
db = solver.MakePhase(variables, variable_strategy, index_evaluator2);
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} else {
LOG(INFO) << "Using Solver::ASSIGN_MIN_VALUE for value selection strategy.";
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db = solver.MakePhase(variables, variable_strategy,
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Solver::ASSIGN_MIN_VALUE);
}
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DecisionBuilder* final_db = solver.Compose(ob, db);
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// Create Additional Monitors.
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CreateAdditionalMonitors(objective, &solver, &monitors);
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// Collector
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SolutionCollector* const collector = solver.MakeLastSolutionCollector();
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collector->Add(variables);
collector->Add(objective_var);
monitors.push_back(collector);
// Solve.
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LOG(INFO) << "Solving...";
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const int64_t time1 = solver.wall_time();
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solver.Solve(final_db, monitors);
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const int64_t time2 = solver.wall_time();
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// Display Time.
if (absl::GetFlag(FLAGS_display_time)) {
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PrintElapsedTime(time1, time2);
}
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// Display Results.
if (absl::GetFlag(FLAGS_display_results)) {
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PrintResultsHard(collector, variables, objective_var, data_variables,
data_constraints, index_from_key, key_from_index);
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}
}
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// Splits variables of the instance to hard and soft.
void SplitVariablesHardSoft(
const absl::btree_map<int, FapVariable>& data_variables,
absl::btree_map<int, FapVariable>* hard_variables,
absl::btree_map<int, FapVariable>* soft_variables) {
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for (const auto& it : data_variables) {
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if (it.second.initial_position != -1) {
if (it.second.hard) {
CHECK_LT(it.second.mobility_cost, 0);
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hard_variables->insert_or_assign(it.first, it.second);
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} else {
CHECK_GE(it.second.mobility_cost, 0);
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soft_variables->insert_or_assign(it.first, it.second);
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}
}
}
}
// Splits constraints of the instance to hard and soft.
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void SplitConstraintHardSoft(absl::Span<const FapConstraint> data_constraints,
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std::vector<FapConstraint>* hard_constraints,
std::vector<FapConstraint>* soft_constraints) {
for (const FapConstraint& ct : data_constraints) {
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if (ct.hard) {
CHECK_LT(ct.weight_cost, 0);
hard_constraints->push_back(ct);
} else {
CHECK_GE(ct.weight_cost, 0);
soft_constraints->push_back(ct);
}
}
}
// Penalize the modification of the initial position of soft variable of
// the instance.
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void PenalizeVariablesViolation(
const absl::btree_map<int, FapVariable>& soft_variables,
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const absl::btree_map<int, int>& index_from_key,
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const std::vector<IntVar*>& variables, std::vector<IntVar*>* cost,
Solver* solver) {
for (const auto& it : soft_variables) {
const int index = gtl::FindOrDie(index_from_key, it.first);
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CHECK_LT(index, variables.size());
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IntVar* const displaced = solver->MakeIsDifferentCstVar(
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variables[index], it.second.initial_position);
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IntVar* const weight =
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solver->MakeProd(displaced, it.second.mobility_cost)->Var();
cost->push_back(weight);
}
}
// Penalize the violation of soft constraints of the instance.
void PenalizeConstraintsViolation(
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absl::Span<const FapConstraint> constraints,
absl::Span<const FapConstraint> soft_constraints,
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const absl::btree_map<int, int>& index_from_key,
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const std::vector<IntVar*>& variables, std::vector<IntVar*>* cost,
std::vector<IntVar*>* violated_constraints, Solver* solver) {
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int violated_constraints_index = 0;
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for (const FapConstraint& ct : constraints) {
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CHECK_LT(violated_constraints_index, violated_constraints->size());
if (!ct.hard) {
// The violated_constraints_index will stop at the first soft constraint.
break;
}
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IntVar* const hard_violation = solver->MakeIntVar(0, 0);
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(*violated_constraints)[violated_constraints_index] = hard_violation;
violated_constraints_index++;
}
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for (const FapConstraint& ct : soft_constraints) {
const int index1 = gtl::FindOrDie(index_from_key, ct.variable1);
const int index2 = gtl::FindOrDie(index_from_key, ct.variable2);
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CHECK_LT(index1, variables.size());
CHECK_LT(index2, variables.size());
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IntVar* const absolute_difference =
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solver
->MakeAbs(
solver->MakeDifference(variables[index1], variables[index2]))
->Var();
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IntVar* violation = nullptr;
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if (ct.operation == ">") {
violation = solver->MakeIsLessCstVar(absolute_difference, ct.value);
} else if (ct.operation == "=") {
violation = solver->MakeIsDifferentCstVar(absolute_difference, ct.value);
} else {
LOG(FATAL) << "Invalid operator detected.";
}
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IntVar* const weight = solver->MakeProd(violation, ct.weight_cost)->Var();
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cost->push_back(weight);
CHECK_LT(violated_constraints_index, violated_constraints->size());
(*violated_constraints)[violated_constraints_index] = violation;
violated_constraints_index++;
}
CHECK_EQ(violated_constraints->size(), constraints.size());
}
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// The Soft Solver is dealing with the optimization of unfeasible instances
// and aims to minimize the total cost of violated constraints. Returning value
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// equal to 0 denotes that the instance is feasible.
int SoftFapSolver(const absl::btree_map<int, FapVariable>& data_variables,
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const std::vector<FapConstraint>& data_constraints,
absl::string_view /*data_objective*/,
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absl::Span<const int> /*values*/) {
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Solver solver("SoftFapSolver");
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std::vector<SearchMonitor*> monitors;
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// Split variables to hard and soft.
absl::btree_map<int, FapVariable> hard_variables;
absl::btree_map<int, FapVariable> soft_variables;
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SplitVariablesHardSoft(data_variables, &hard_variables, &soft_variables);
// Order instance's constraints by their impact and then split them to
// hard and soft.
std::vector<FapConstraint> ordered_constraints(data_constraints);
std::sort(ordered_constraints.begin(), ordered_constraints.end(),
ConstraintImpactComparator);
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std::vector<FapConstraint> hard_constraints;
std::vector<FapConstraint> soft_constraints;
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SplitConstraintHardSoft(ordered_constraints, &hard_constraints,
&soft_constraints);
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// Create Model Variables.
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std::vector<IntVar*> variables;
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absl::btree_map<int, int> index_from_key;
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std::vector<int> key_from_index;
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CreateModelVariables(data_variables, &solver, &variables, &index_from_key,
&key_from_index);
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// Create Model Constraints.
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CreateModelConstraints(hard_constraints, variables, index_from_key, &solver);
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// Penalize variable and constraint violations.
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std::vector<IntVar*> cost;
std::vector<IntVar*> violated_constraints(ordered_constraints.size(),
nullptr);
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PenalizeVariablesViolation(soft_variables, index_from_key, variables, &cost,
&solver);
PenalizeConstraintsViolation(ordered_constraints, soft_constraints,
index_from_key, variables, &cost,
&violated_constraints, &solver);
// Objective
// Minimize the sum of violation penalties.
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IntVar* objective_var = solver.MakeSum(cost)->Var();
OptimizeVar* objective = solver.MakeMinimize(objective_var, 1);
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monitors.push_back(objective);
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// Ordering Builder
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OrderingBuilder* ob = solver.RevAlloc(
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new OrderingBuilder(data_variables, ordered_constraints, variables,
violated_constraints, index_from_key));
// Decision Builder Configuration
// Choose the next variable selection strategy.
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DecisionBuilder* db;
if (absl::GetFlag(FLAGS_variable_evaluator) == "variable_evaluator") {
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LOG(INFO) << "Using VariableEvaluator for variable selection strategy and "
"Solver::ASSIGN_MIN_VALUE for value selection strategy.";
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Solver::IndexEvaluator1 var_evaluator = [&key_from_index,
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&data_variables](int64_t index) {
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return VariableEvaluator(key_from_index, data_variables, index);
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};
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db = solver.MakePhase(variables, var_evaluator, Solver::ASSIGN_MIN_VALUE);
} else {
LOG(INFO) << "Using Solver::CHOOSE_FIRST_UNBOUND for variable selection "
"strategy and Solver::ASSIGN_MIN_VALUE for value selection "
"strategy.";
db = solver.MakePhase(variables, Solver::CHOOSE_FIRST_UNBOUND,
Solver::ASSIGN_MIN_VALUE);
}
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DecisionBuilder* final_db = solver.Compose(ob, db);
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// Create Additional Monitors.
CreateAdditionalMonitors(objective, &solver, &monitors);
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// Collector
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SolutionCollector* const collector = solver.MakeLastSolutionCollector();
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collector->Add(variables);
collector->Add(objective_var);
monitors.push_back(collector);
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// Solve.
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LOG(INFO) << "Solving...";
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const int64_t time1 = solver.wall_time();
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solver.Solve(final_db, monitors);
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const int64_t time2 = solver.wall_time();
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int violation_sum =
collector->Value(collector->solution_count() - 1, objective_var);
// Display Time.
if (absl::GetFlag(FLAGS_display_time)) {
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PrintElapsedTime(time1, time2);
}
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// Display Results.
if (absl::GetFlag(FLAGS_display_results)) {
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PrintResultsSoft(collector, variables, objective_var, hard_variables,
hard_constraints, soft_variables, soft_constraints,
index_from_key, key_from_index);
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}
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return violation_sum;
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}
void SolveProblem(const absl::btree_map<int, FapVariable>& variables,
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const std::vector<FapConstraint>& constraints,
absl::string_view objective, const std::vector<int>& values,
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bool soft) {
// Print Instance!
FapModelPrinter model_printer(variables, constraints, objective, values);
model_printer.PrintFapObjective();
model_printer.PrintFapVariables();
model_printer.PrintFapConstraints();
model_printer.PrintFapValues();
// Create Model & Solve!
if (!soft) {
LOG(INFO) << "Running HardFapSolver";
HardFapSolver(variables, constraints, objective, values);
} else {
LOG(INFO) << "Running SoftFapSolver";
int violation = SoftFapSolver(variables, constraints, objective, values);
if (violation == 0) {
LOG(INFO) << "The instance is feasible. "
"Now the HardFapSolver will be executed.";
LOG(INFO) << "Running HardFapSolver";
HardFapSolver(variables, constraints, objective, values);
}
}
}
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} // namespace operations_research
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int main(int argc, char** argv) {
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InitGoogle(argv[0], &argc, &argv, true);
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CHECK(!absl::GetFlag(FLAGS_directory).empty())
<< "Requires --directory=<directory name>";
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LOG(INFO) << "Solving instance in directory "
<< absl::GetFlag(FLAGS_directory);
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// Parse!
absl::btree_map<int, operations_research::FapVariable> variables;
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std::vector<operations_research::FapConstraint> constraints;
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std::string objective;
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std::vector<int> values;
dotnet: Remove reference to dotnet release command - Currently not implemented... Add abseil patch - Add patches/absl-config.cmake Makefile: Add abseil-cpp on unix - Force abseil-cpp SHA1 to 45221cc note: Just before the PR #136 which break all CMake Makefile: Add abseil-cpp on windows - Force abseil-cpp SHA1 to 45221cc note: Just before the PR #136 which break all CMake CMake: Add abseil-cpp - Force abseil-cpp SHA1 to 45221cc note: Just before the PR #136 which break all CMake port to absl: C++ Part - Fix warning with the use of ABSL_MUST_USE_RESULT > The macro must appear as the very first part of a function declaration or definition: ... Note: past advice was to place the macro after the argument list. src: dependencies/sources/abseil-cpp-master/absl/base/attributes.h:418 - Rename enum after windows clash - Remove non compact table constraints - Change index type from int64 to int in routing library - Fix file_nonport compilation on windows - Fix another naming conflict with windows (NO_ERROR is a macro) - Cleanup hash containers; work on sat internals - Add optional_boolean sub-proto Sync cpp examples with internal code - reenable issue173 after reducing number of loops port to absl: Python Part - Add back cp_model.INT32_MIN|MAX for examples Update Python examples - Add random_tsp.py - Run words_square example - Run magic_square in python tests port to absl: Java Part - Fix compilation of the new routing parameters in java - Protect some code from SWIG parsing Update Java Examples port to absl: .Net Part Update .Net examples work on sat internals; Add C++ CP-SAT CpModelBuilder API; update sample code and recipes to use the new API; sync with internal code Remove VS 2015 in Appveyor-CI - abseil-cpp does not support VS 2015... improve tables upgrade C++ sat examples to use the new API; work on sat internals update license dates rewrite jobshop_ft06_distance.py to use the CP-SAT solver rename last example revert last commit more work on SAT internals fix
2018-10-31 16:18:18 +01:00
absl::flat_hash_map<int, operations_research::FapComponent> components;
operations_research::ParseInstance(
absl::GetFlag(FLAGS_directory), absl::GetFlag(FLAGS_find_components),
&variables, &constraints, &objective, &values, &components);
if (!absl::GetFlag(FLAGS_find_components)) {
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operations_research::SolveProblem(variables, constraints, objective, values,
absl::GetFlag(FLAGS_soft));
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} else {
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int component_id = 1;
LOG(INFO) << "Number of components in the RLFAP graph "
<< components.size();
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for (const auto& component : components) {
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LOG(INFO) << "Solving Component " << component_id;
operations_research::SolveProblem(component.second.variables,
component.second.constraints, objective,
values, absl::GetFlag(FLAGS_soft));
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component_id++;
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}
}
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return EXIT_SUCCESS;
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}