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tsp_simple.cc
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tsp_simple.cc
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// Copyright © Mapotempo, 2013-2015
//
// This file is part of Mapotempo.
//
// Mapotempo is free software. You can redistribute it and/or
// modify since you respect the terms of the GNU Affero General
// Public License as published by the Free Software Foundation,
// either version 3 of the License, or (at your option) any later version.
//
// Mapotempo is distributed in the hope that it will be useful, but WITHOUT
// ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
// or FITNESS FOR A PARTICULAR PURPOSE. See the Licenses for more details.
//
// You should have received a copy of the GNU Affero General Public License
// along with Mapotempo. If not, see:
// <http://www.gnu.org/licenses/agpl.html>
//
#include <iostream>
#include "./limits.h"
#include "./values.h"
#include "ortools/base/logging.h"
#include "google/protobuf/text_format.h"
#include "ortools/base/commandlineflags.h"
#include "ortools/base/protoutil.h"
#include "ortools/base/timer.h"
#include "ortools/base/version.h"
#include "ortools/constraint_solver/routing.h"
#include "ortools/constraint_solver/routing_enums.pb.h"
#include "ortools/constraint_solver/routing_index_manager.h"
#include "ortools/constraint_solver/routing_parameters.h"
#include "ortools/constraint_solver/routing_parameters.pb.h"
#include "ortools/linear_solver/linear_solver.h"
#include "ortools/linear_solver/linear_solver.pb.h"
namespace operations_research {
bool CheckOverflow(const int64 a, const int64 b) {
if (a > std::pow(2, 52) / b)
return true;
return false;
}
double GetSpanCostForVehicleForDimension(const RoutingModel& routing,
const Assignment* solution, const int vehicle,
const std::string& dimension_name) {
if (routing.GetMutableDimension(dimension_name) == nullptr)
return 0;
return (solution->Min(routing.GetMutableDimension(dimension_name)
->CumulVar(routing.End(vehicle))) -
solution->Max(routing.GetMutableDimension(dimension_name)
->CumulVar(routing.Start(vehicle)))) *
routing.GetMutableDimension(dimension_name)
->GetSpanCostCoefficientForVehicle(vehicle) /
CUSTOM_BIGNUM_COST;
}
double GetUpperBoundCostForDimension(const RoutingModel& routing,
const Assignment* solution, const int index,
const std::string& dimension_name) {
if (routing.GetMutableDimension(dimension_name) == nullptr)
return 0;
const int64 start_time =
solution->Min(routing.GetMutableDimension(dimension_name)->CumulVar(index));
const int64 upper_bound =
routing.GetMutableDimension(dimension_name)->GetCumulVarSoftUpperBound(index);
const int64 excess = std::max(start_time - upper_bound, (int64)0);
return excess *
routing.GetMutableDimension(dimension_name)
->GetCumulVarSoftUpperBoundCoefficient(index) /
CUSTOM_BIGNUM_COST;
}
void MissionsBuilder(const TSPTWDataDT& data, RoutingModel& routing,
RoutingValues& routing_values, RoutingIndexManager& manager,
Assignment* assignment, const int64 size,
const bool free_approach_return) {
Solver* solver = routing.solver();
const int size_vehicles = data.Vehicles().size();
// const int size_matrix = data.SizeMatrix();
const int size_problem = data.SizeProblem();
const int64 max_time =
(2 * data.MaxTime() + data.MaxServiceTime() + 1) * data.MaxTimeCost();
const int64 max_distance = (2 * data.MaxDistance() + 1) * data.MaxDistanceCost();
const int64 max_value = (2 * data.MaxValue() + 1) * data.MaxValueCost();
bool overflow_danger =
CheckOverflow(max_time + max_distance + max_value, size_vehicles);
int64 data_verif = (max_time + max_distance + max_value) * size_vehicles;
overflow_danger = overflow_danger || CheckOverflow(data_verif, std::pow(2, 4) * size);
data_verif = data_verif * std::pow(2, 4) * size;
RoutingIndexManager::NodeIndex i(0);
uint32 tw_index = 0;
int64 disjunction_cost =
!overflow_danger && !CheckOverflow(data_verif, size) ? data_verif : std::pow(2, 52);
std::vector<int64> all_vehicle_indices;
for (int v = 0; v < size_vehicles; ++v)
all_vehicle_indices.push_back(v);
for (int activity = 0; activity <= size_problem; ++activity) {
std::vector<int64>* vect = new std::vector<int64>();
const int64 priority = data.Priority(i);
const int64 exclusion_cost = data.ExclusionCost(i);
for (int alternative = 0; alternative < data.AlternativeSize(activity);
++alternative) {
vect->push_back(manager.NodeToIndex(i));
const int64 index = manager.NodeToIndex(i);
const std::vector<int64>& ready = data.ReadyTime(i);
const std::vector<int64>& due = data.DueTime(i);
const std::vector<int64>& maximum_lateness = data.MaximumLateness(i);
const int64 initial_value = routing_values.NodeValues(i).initial_time_value;
// Timewindows should apply both on kTime and kFakeTime Dimensions.kTime both
// compute the true timings of activities and the time cost kFakeTime allows to
// compute the time cost of the route when there is an free_approach or free_return
// dimension. But it requires true timings to consider correctly waiting times.
// Lateness could only apply on true timings, which means these contraints should
// only be applied on kTime dimension. Dimensions kNoWait and kFakeNoWait doesn't
// need time windows because it expects no waiting times
IntVar* cumul_var = routing.GetMutableDimension(kTime)->CumulVar(index);
if (free_approach_return)
solver->AddConstraint(solver->MakeEquality(
routing.GetMutableDimension(kFakeTime)->CumulVar(index), cumul_var));
const int64 late_multiplier = data.LateMultiplier(i);
std::string service_id = data.ServiceId(i);
if (ready.size() > 0 &&
(ready[0] > -CUSTOM_MAX_INT || due.back() < CUSTOM_MAX_INT)) {
if (absl::GetFlag(FLAGS_debug)) {
std::cout << "Node " << i << " index " << index << " [" << (ready[0]) << " : "
<< (due.back()) << "]:" << data.ServiceTime(i) << std::endl;
}
if (ready[0] > -CUSTOM_MAX_INT) {
cumul_var->SetMin(ready[0]);
}
if (initial_value >= 0) {
assignment->Add(cumul_var);
DLOG(INFO) << "cumul_var:" << cumul_var << "\t value: " << initial_value
<< std::endl;
assignment->SetValue(cumul_var, initial_value);
}
if (late_multiplier > 0 && maximum_lateness.back() > 0) {
CHECK_LE(due.size(), 1)
<< "If lateness is allowed, there should have been only one TW because the "
"services are already split into alternative services with single TWs";
if (due.back() < CUSTOM_MAX_INT) {
routing.GetMutableDimension(kTime)->SetCumulVarSoftUpperBound(
index, due.back(), late_multiplier);
if (maximum_lateness.back() < CUSTOM_MAX_INT) {
cumul_var->SetMax(due.back() + maximum_lateness.back());
}
}
} else {
if (due.back() < CUSTOM_MAX_INT) {
cumul_var->SetMax(due.back());
}
// remove the "invalid" intervals between TWs
for (tw_index = 0; tw_index < due.size() - 1; ++tw_index) {
cumul_var->RemoveInterval(due[tw_index], ready[tw_index + 1] - 1);
}
}
}
std::vector<int64> incompatible_vehicle_indices;
std::vector<int64> compatible_vehicles = data.VehicleIndices(i);
std::set_difference(all_vehicle_indices.begin(), all_vehicle_indices.end(),
compatible_vehicles.begin(), compatible_vehicles.end(),
std::back_inserter(incompatible_vehicle_indices));
for (int64 remove : incompatible_vehicle_indices)
routing.VehicleVar(index)->RemoveValue(remove);
const std::vector<bool>& refill_quantities = data.RefillQuantities(i);
for (std::size_t q = 0; q < data.Quantities(i).size(); ++q) {
RoutingDimension* quantity_dimension =
routing.GetMutableDimension("quantity" + std::to_string(q));
if (!refill_quantities[q])
quantity_dimension->SlackVar(index)->SetValue(0);
routing.AddVariableMinimizedByFinalizer(quantity_dimension->CumulVar(index));
}
++i;
}
if (absl::GetFlag(FLAGS_debug)) {
std::cout << "Activity " << activity << "\t exclusion cost: " << exclusion_cost
<< "\t disjunction cost: " << disjunction_cost * std::pow(2, 4 - priority)
<< std::endl;
}
// Otherwise this single service is never assigned
if (size == 1)
routing.AddDisjunction(*vect);
else
routing.AddDisjunction(*vect, exclusion_cost == -1
? disjunction_cost * std::pow(2, 4 - priority)
: exclusion_cost);
delete vect;
}
}
bool RouteBuilder(const TSPTWDataDT& data, RoutingModel& routing,
RoutingIndexManager& manager, Assignment* assignment) {
const int size_vehicles = data.Vehicles().size();
std::vector<std::vector<int64>> routes(size_vehicles);
for (const TSPTWDataDT::Route& route : data.Routes()) {
int64 current_index;
IntVar* previous_var = NULL;
std::vector<int64> route_variable_indicies;
if (route.vehicle_index >= 0) {
previous_var = routing.NextVar(routing.Start(route.vehicle_index));
assignment->Add(previous_var);
}
for (std::string service_id : route.service_ids) {
current_index = data.IdIndex(service_id);
if (current_index != -1) {
route_variable_indicies.push_back(
manager.NodeToIndex(RoutingIndexManager::NodeIndex(current_index)));
IntVar* next_var = routing.NextVar(current_index);
assignment->Add(next_var);
if (previous_var != NULL) {
assignment->SetValue(previous_var, current_index);
}
previous_var = next_var;
}
}
if (route.vehicle_index >= 0) {
if (previous_var != NULL) {
assignment->SetValue(previous_var, routing.End(route.vehicle_index));
}
std::vector<int64>& actual_route = routes[route.vehicle_index];
actual_route.insert(actual_route.end(), route_variable_indicies.begin(),
route_variable_indicies.end());
}
}
assignment = routing.ReadAssignmentFromRoutes(routes, true);
return assignment == nullptr ? false : true;
}
std::vector<std::vector<IntervalVar*>>
RestBuilder(const TSPTWDataDT& data, RoutingModel& routing, const int64 horizon) {
Solver* solver = routing.solver();
const int size_vehicles = data.Vehicles().size();
std::vector<std::vector<IntervalVar*>> stored_rests;
// TODO: only the last pause is pushed towards the end of route. If there are multiple
// pauses per vehicle then multiple "rest" dimensions are needed.
routing.AddDimension(/*zero_evaluator*/ 0, horizon, horizon, true, kRestPosition);
for (int vehicle_index = 0; vehicle_index < size_vehicles; ++vehicle_index) {
RoutingDimension* rest_dimension = routing.GetMutableDimension(kRestPosition);
// Add a small cost so that pause will be pushed towards the end of the route if it
// doesn't increase other costs. Note: the cost coefficient is actually very small
// (1 / CUSTOM_BIGNUM_COST) since every other cost is multipled with
// CUSTOM_BIGNUM_COST
rest_dimension->SetSpanCostCoefficientForVehicle(1, vehicle_index);
rest_dimension->CumulVar(routing.Start(vehicle_index))->SetMax(0);
IntVar* const end_rest_cumul_var =
rest_dimension->CumulVar(routing.End(vehicle_index));
const RoutingDimension& time_dimension = routing.GetDimensionOrDie(kTime);
IntVar* const cumul_var = time_dimension.CumulVar(routing.Start(vehicle_index));
IntVar* const cumul_var_end = time_dimension.CumulVar(routing.End(vehicle_index));
std::vector<IntervalVar*> rest_array;
const TSPTWDataDT::Vehicle& vehicle = data.Vehicles(vehicle_index);
for (const TSPTWDataDT::Rest& rest : vehicle.Rests()) {
IntervalVar* const rest_interval = solver->MakeFixedDurationIntervalVar(
std::max<int64>(rest.ready_time, vehicle.time_start),
std::min<int64>(rest.due_time, vehicle.time_end - rest.duration),
rest.duration, // Currently only one timewindow
false, absl::StrCat("Rest/", rest.rest_id, "/", vehicle_index));
rest_array.push_back(rest_interval);
solver->AddConstraint(
solver->MakeGreaterOrEqual(rest_interval->SafeStartExpr(0), cumul_var));
solver->AddConstraint(
solver->MakeLessOrEqual(rest_interval->SafeEndExpr(0), cumul_var_end));
// Push the rest as close to the end of route as possible
routing.AddVariableMaximizedByFinalizer(rest_interval->SafeStartExpr(0)->Var());
routing.AddVariableMaximizedByFinalizer(rest_interval->SafeEndExpr(0)->Var());
routing.AddVariableMinimizedByFinalizer(rest_interval->SafeDurationExpr(0)->Var());
solver->AddConstraint(solver->MakeGreaterOrEqual(
end_rest_cumul_var,
solver->MakeDifference(cumul_var_end, rest_interval->SafeStartExpr(0)->Var())));
}
routing.GetMutableDimension(kTime)->SetBreakIntervalsOfVehicle(
rest_array, vehicle_index, data.ServiceTimes());
stored_rests.push_back(rest_array);
}
return stored_rests;
}
void RelationBuilder(const TSPTWDataDT& data, RoutingModel& routing,
bool& has_overall_duration) {
Solver* solver = routing.solver();
// const int size_vehicles = data.Vehicles().size();
Solver::IndexEvaluator1 vehicle_evaluator = [&data](int64 index) {
return data.VehicleDay(index);
};
Solver::IndexEvaluator1 day_to_vehicle_evaluator = [&data](int64 index) {
return data.DayIndexToVehicleIndex(index);
};
std::vector<IntVar*> next_vars;
for (int i = 0; i < data.SizeMissions(); ++i) {
next_vars.push_back(routing.NextVar(i));
}
for (const TSPTWDataDT::Relation& relation : data.Relations()) {
int64 previous_index;
int64 current_index;
std::vector<int64> previous_indices;
std::vector<std::pair<int, int>> pairs;
std::vector<int64> intermediate_values;
std::vector<int64> values;
int32 alternative_size;
RoutingModel::DisjunctionIndex previous_disjunction_index;
RoutingModel::DisjunctionIndex current_disjunction_index;
std::vector<int64> previous_vehicle_index_set;
std::vector<int64> current_vehicle_index_set;
std::vector<IntVar*> previous_active_var_set;
std::vector<IntVar*> current_active_var_set;
std::vector<IntVar*> current_active_index_set;
std::vector<IntVar*> previous_active_next_var_set;
std::vector<IntVar*> current_active_next_var_set;
std::vector<IntVar*> previous_vehicle_var_set;
std::vector<IntVar*> current_vehicle_var_set;
std::vector<IntVar*> previous_active_cumul_var_set;
std::vector<IntVar*> current_active_cumul_var_set;
switch (relation.type) {
case Sequence:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
int32 service_index =
data.ProblemIndex(RoutingIndexManager::NodeIndex(current_index));
alternative_size = data.AlternativeSize(service_index);
current_active_var_set.clear();
current_active_cumul_var_set.clear();
current_vehicle_var_set.clear();
current_active_next_var_set.clear();
current_active_index_set.clear();
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
IntVar* const active_node = routing.ActiveVar(alternative_index);
current_vehicle_var_set.push_back(
solver->MakeProd(active_node, routing.VehicleVar(alternative_index))
->Var());
// The next var of the current active alternative
current_active_next_var_set.push_back(
solver->MakeProd(active_node, routing.NextVar(alternative_index))->Var());
// The index of the current alternative
current_active_index_set.push_back(
solver->MakeProd(active_node, alternative_index)->Var());
current_active_var_set.push_back(active_node);
current_active_cumul_var_set.push_back(
solver
->MakeProd(active_node, routing.GetMutableDimension(kTime)->CumulVar(
alternative_index))
->Var());
routing.NextVar(alternative_index)->RemoveValues(previous_indices);
previous_indices.push_back(alternative_index);
}
if (link_index >= 1) {
// The constraint is only active if both of the services have one active
// alternative
IntVar* active_constraint =
solver
->MakeProd(solver->MakeMax(previous_active_var_set),
solver->MakeMax(current_active_var_set))
->Var();
// The current set may be active only if the predecessor set is active
solver->AddConstraint(
solver->MakeLessOrEqual(solver->MakeMax(current_active_var_set),
solver->MakeMax(previous_active_var_set)));
// The current active alternative node should belong to the same route than the
// active predecessor
solver->AddConstraint(solver->MakeEquality(
solver->MakeProd(active_constraint,
solver->MakeMax(previous_vehicle_var_set)),
solver->MakeProd(active_constraint,
solver->MakeMax(current_vehicle_var_set))));
// The successor of the predecessor should be the current active alternative
// node
solver->AddConstraint(solver->MakeEquality(
solver->MakeProd(active_constraint,
solver->MakeMax(previous_active_next_var_set)),
solver->MakeProd(active_constraint,
solver->MakeMax(current_active_index_set))));
// The current active alternative should start after the active predecessor
solver->AddConstraint(solver->MakeLessOrEqual(
solver->MakeProd(active_constraint,
solver->MakeMax(previous_active_cumul_var_set)),
solver->MakeProd(active_constraint,
solver->MakeMax(current_active_cumul_var_set))));
}
previous_active_var_set = current_active_var_set;
previous_active_next_var_set = current_active_next_var_set;
previous_vehicle_var_set = current_vehicle_var_set;
previous_active_cumul_var_set = current_active_cumul_var_set;
}
break;
case Order:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
int32 service_index =
data.ProblemIndex(RoutingIndexManager::NodeIndex(current_index));
alternative_size = data.AlternativeSize(service_index);
current_active_var_set.clear();
current_vehicle_var_set.clear();
current_active_cumul_var_set.clear();
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
IntVar* active_node = routing.ActiveVar(alternative_index);
current_active_var_set.push_back(active_node);
current_vehicle_var_set.push_back(routing.VehicleVar(alternative_index));
current_active_cumul_var_set.push_back(
solver
->MakeProd(active_node, routing.GetMutableDimension(kTime)->CumulVar(
alternative_index))
->Var());
routing.NextVar(alternative_index)->RemoveValues(previous_indices);
previous_indices.push_back(alternative_index);
}
if (link_index >= 1) {
// The constraint is only active if both of the services have one active
// alternative
IntVar* active_constraint =
solver
->MakeProd(solver->MakeMax(previous_active_var_set),
solver->MakeMax(current_active_var_set))
->Var();
// The current set may be active only if the predessor set is active
solver->AddConstraint(
solver->MakeLessOrEqual(solver->MakeMax(current_active_var_set),
solver->MakeMax(previous_active_var_set)));
// The active alternatives should belong to the same route
solver->AddConstraint(solver->MakeEquality(
solver->MakeProd(active_constraint,
solver->MakeMax(previous_vehicle_var_set)),
solver->MakeProd(active_constraint,
solver->MakeMax(current_vehicle_var_set))));
// The current active alternative should start after the active predecessor
solver->AddConstraint(solver->MakeLessOrEqual(
solver->MakeProd(active_constraint,
solver->MakeMax(previous_active_cumul_var_set)),
solver->MakeProd(active_constraint,
solver->MakeMax(current_active_cumul_var_set))));
}
previous_active_var_set = current_active_var_set;
previous_vehicle_var_set = current_vehicle_var_set;
previous_active_cumul_var_set = current_active_cumul_var_set;
}
break;
case SameRoute:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
int32 service_index =
data.ProblemIndex(RoutingIndexManager::NodeIndex(current_index));
alternative_size = data.AlternativeSize(service_index);
current_active_var_set.clear();
current_vehicle_var_set.clear();
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
IntVar* const active_node = routing.ActiveVar(alternative_index);
current_active_var_set.push_back(active_node);
// Current vehicle var is active only if one of the previous active var is
// active and if the current alternative is active
current_vehicle_var_set.push_back(
solver
->MakeProd(solver->MakeProd(solver->MakeMax(previous_active_var_set),
active_node),
routing.VehicleVar(alternative_index))
->Var());
}
if (link_index >= 1) {
// The constraint is only active if both of the services have one active
// alternative
IntVar* active_constraint =
solver
->MakeProd(solver->MakeMax(previous_active_var_set),
solver->MakeMax(current_active_var_set))
->Var();
// The current set may be active only if the predessor set is active
solver->AddConstraint(
solver->MakeLessOrEqual(solver->MakeMax(current_active_var_set),
solver->MakeMax(previous_active_var_set)));
// The active alternatives should belong to the same route
solver->AddConstraint(solver->MakeEquality(
solver->MakeProd(active_constraint,
solver->MakeMax(previous_vehicle_var_set)),
solver->MakeProd(active_constraint,
solver->MakeMax(current_vehicle_var_set))));
}
previous_active_var_set = current_active_var_set;
previous_vehicle_var_set = current_vehicle_var_set;
}
break;
case MinimumDayLapse:
previous_index = data.IdIndex(relation.linked_ids[0]);
for (int link_index = 1; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
IntVar* const previous_active_var = routing.ActiveVar(previous_index);
IntVar* const active_var = routing.ActiveVar(current_index);
IntVar* const vehicle_var = routing.VehicleVar(current_index);
IntVar* const previous_vehicle_var = routing.VehicleVar(previous_index);
IntVar* const previous_part =
solver->MakeElement(vehicle_evaluator, previous_vehicle_var)->Var();
IntVar* const vehicle_index_var =
solver
->MakeElement(day_to_vehicle_evaluator,
solver->MakeSum(previous_part, relation.lapse)->Var())
->Var();
solver->AddConstraint(solver->MakeLessOrEqual(active_var, previous_active_var));
IntExpr* const isConstraintActive =
solver->MakeProd(previous_active_var, active_var);
solver->AddConstraint(solver->MakeGreaterOrEqual(
solver->MakeProd(vehicle_var, isConstraintActive),
solver->MakeProd(vehicle_index_var, isConstraintActive)));
previous_index = current_index;
}
break;
case MaximumDayLapse:
previous_index = data.IdIndex(relation.linked_ids[0]);
for (int link_index = 1; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
IntVar* const previous_active_var = routing.ActiveVar(previous_index);
IntVar* const active_var = routing.ActiveVar(current_index);
IntVar* const vehicle_var = routing.VehicleVar(current_index);
IntVar* const previous_vehicle_var = routing.VehicleVar(previous_index);
IntVar* const previous_part =
solver->MakeElement(vehicle_evaluator, previous_vehicle_var)->Var();
IntVar* const vehicle_index_var =
solver
->MakeElement(day_to_vehicle_evaluator,
solver->MakeSum(previous_part, relation.lapse + 1)->Var())
->Var();
solver->AddConstraint(solver->MakeLessOrEqual(active_var, previous_active_var));
IntExpr* const isConstraintActive =
solver->MakeProd(previous_active_var, active_var);
solver->AddConstraint(solver->MakeGreaterOrEqual(
solver->MakeProd(vehicle_var, isConstraintActive),
solver->MakeProd(previous_vehicle_var, isConstraintActive)));
solver->AddConstraint(solver->MakeLessOrEqual(
solver->MakeProd(vehicle_var, isConstraintActive),
solver->MakeProd(solver->MakeSum(vehicle_index_var, -1)->Var(),
isConstraintActive)));
previous_index = current_index;
}
break;
case Shipment:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
current_disjunction_index = routing.GetDisjunctionIndices(current_index)[0];
int32 service_index =
data.ProblemIndex(RoutingIndexManager::NodeIndex(current_index));
alternative_size = data.AlternativeSize(service_index);
current_active_cumul_var_set.clear();
current_vehicle_var_set.clear();
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
current_vehicle_var_set.push_back(routing.VehicleVar(alternative_index));
IntVar* const active_node = routing.ActiveVar(alternative_index);
current_active_cumul_var_set.push_back(
solver
->MakeProd(active_node, routing.GetMutableDimension(kTime)->CumulVar(
alternative_index))
->Var());
}
if (link_index >= 1) {
routing.AddPickupAndDeliverySets(previous_disjunction_index,
current_disjunction_index);
// The active alternatives should belong to the same route
solver->AddConstraint(
solver->MakeEquality(solver->MakeMax(previous_vehicle_var_set),
solver->MakeMax(current_vehicle_var_set)));
// The current active alternative should start after the active predecessor
solver->AddConstraint(
solver->MakeLessOrEqual(solver->MakeMax(previous_active_cumul_var_set),
solver->MakeMax(current_active_cumul_var_set)));
}
previous_index = current_index;
previous_disjunction_index = current_disjunction_index;
previous_vehicle_var_set = current_vehicle_var_set;
previous_active_cumul_var_set = current_active_cumul_var_set;
}
break;
case MeetUp:
previous_index = data.IdIndex(relation.linked_ids[0]);
for (int link_index = 1; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
IntVar* const previous_active_var = routing.ActiveVar(previous_index);
IntVar* const active_var = routing.ActiveVar(current_index);
IntExpr* const isConstraintActive =
solver->MakeProd(previous_active_var, active_var)->Var();
IntExpr* const previous_part =
solver->MakeProd(isConstraintActive, routing.VehicleVar(previous_index));
IntExpr* const next_part =
solver->MakeProd(isConstraintActive, routing.VehicleVar(current_index));
IntExpr* const lapse = solver->MakeProd(isConstraintActive, 1);
solver->AddConstraint(solver->MakeGreaterOrEqual(
solver->MakeAbs(solver->MakeDifference(next_part, previous_part)), lapse));
IntExpr* const previous_part_global_index =
solver->MakeElement(vehicle_evaluator, routing.VehicleVar(previous_index));
IntExpr* const next_part_global_index =
solver->MakeElement(vehicle_evaluator, routing.VehicleVar(current_index));
solver->AddConstraint(
solver->MakeEquality(previous_part_global_index, next_part_global_index));
solver->AddConstraint(solver->MakeEquality(
solver->MakeProd(
isConstraintActive,
routing.GetMutableDimension(kTime)->CumulVar(previous_index)),
solver->MakeProd(
isConstraintActive,
routing.GetMutableDimension(kTime)->CumulVar(current_index))));
previous_index = current_index;
}
break;
case MaximumDurationLapse:
previous_index = data.IdIndex(relation.linked_ids[0]);
for (int link_index = 1; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
IntVar* const previous_active_var = routing.ActiveVar(previous_index);
IntVar* const active_var = routing.ActiveVar(current_index);
solver->AddConstraint(solver->MakeLessOrEqual(active_var, previous_active_var));
IntExpr* const isConstraintActive =
solver->MakeProd(previous_active_var, active_var)->Var();
IntExpr* const difference = solver->MakeDifference(
routing.GetMutableDimension(kTime)->CumulVar(current_index),
routing.GetMutableDimension(kTime)->CumulVar(previous_index));
IntExpr* const lapse = solver->MakeProd(isConstraintActive, relation.lapse);
solver->AddConstraint(solver->MakeLessOrEqual(
solver->MakeProd(isConstraintActive, difference), lapse));
previous_index = current_index;
}
break;
case MinimumDurationLapse:
previous_index = data.IdIndex(relation.linked_ids[0]);
for (int link_index = 1; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.IdIndex(relation.linked_ids[link_index]);
IntVar* const previous_active_var = routing.ActiveVar(previous_index);
IntVar* const active_var = routing.ActiveVar(current_index);
solver->AddConstraint(
solver->MakeGreaterOrEqual(previous_active_var, active_var));
IntExpr* const isConstraintActive =
solver->MakeProd(previous_active_var, active_var)->Var();
IntExpr* const difference = solver->MakeDifference(
routing.GetMutableDimension(kTime)->CumulVar(current_index),
routing.GetMutableDimension(kTime)->CumulVar(previous_index));
IntExpr* const lapse = solver->MakeProd(isConstraintActive, relation.lapse);
solver->AddConstraint(solver->MakeGreaterOrEqual(
solver->MakeProd(isConstraintActive, difference), lapse));
previous_index = current_index;
}
break;
case NeverFirst:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.AlternativeActivityIndex(relation.linked_ids[link_index]);
if (current_index >= 0) {
alternative_size =
data.AlternativeActivitySize(relation.linked_ids[link_index]);
} else {
current_index = data.IdIndex(relation.linked_ids[link_index]);
alternative_size = data.AlternativeSize(current_index);
}
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
for (std::size_t v = 0; v < data.Vehicles().size(); ++v) {
int64 start_index = routing.Start(v);
// int64 end_index = routing.End(v);
IntVar* const next_var = routing.NextVar(start_index);
next_var->RemoveValue(alternative_index);
}
}
}
break;
case ForceFirst:
for (int activity = 0; activity < data.SizeMissions(); ++activity) {
values.push_back(activity);
}
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.AlternativeActivityIndex(relation.linked_ids[link_index]);
if (current_index >= 0) {
alternative_size =
data.AlternativeActivitySize(relation.linked_ids[link_index]);
} else {
current_index = data.IdIndex(relation.linked_ids[link_index]);
alternative_size = data.AlternativeSize(current_index);
}
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
intermediate_values.push_back(alternative_index);
std::vector<int64>::iterator it =
std::find(values.begin(), values.end(), alternative_index);
values.erase(it);
}
}
for (int index : values) {
IntVar* const next_var = routing.NextVar(index);
next_var->RemoveValues(intermediate_values);
}
break;
case NeverLast:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.AlternativeActivityIndex(relation.linked_ids[link_index]);
if (current_index >= 0) {
alternative_size =
data.AlternativeActivitySize(relation.linked_ids[link_index]);
} else {
current_index = data.IdIndex(relation.linked_ids[link_index]);
alternative_size = data.AlternativeSize(current_index);
}
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
IntVar* const next_var = routing.NextVar(alternative_index);
for (std::size_t v = 0; v < data.Vehicles().size(); ++v) {
int64 end_index = routing.End(v);
next_var->RemoveValue(end_index);
}
}
}
break;
case ForceLast:
for (int link_index = 0; link_index < relation.linked_ids.size(); ++link_index) {
current_index = data.AlternativeActivityIndex(relation.linked_ids[link_index]);
if (current_index >= 0) {
alternative_size =
data.AlternativeActivitySize(relation.linked_ids[link_index]);
} else {
current_index = data.IdIndex(relation.linked_ids[link_index]);
alternative_size = data.AlternativeSize(current_index);
}
for (int64 alternative_index = current_index;
alternative_index < current_index + alternative_size; ++alternative_index) {
values.push_back(alternative_index);
}
}
intermediate_values.insert(intermediate_values.end(), values.begin(), values.end());
for (std::size_t v = 0; v < data.Vehicles().size(); ++v) {
int64 end_index = routing.End(v);
intermediate_values.push_back(end_index);
}
for (int index : values) {
IntVar* const next_var = routing.NextVar(index);
next_var->SetValues(intermediate_values);
}
break;
case VehicleGroupDuration:
if (relation.lapse > -1) {
has_overall_duration = true;
std::vector<IntVar*> same_vehicle_vars;
for (int link_index = 0; link_index < relation.linked_vehicle_ids.size();
++link_index) {
current_index = data.VehicleIdIndex(relation.linked_vehicle_ids[link_index]);
int64 start_index = routing.Start(current_index);
int64 end_index = routing.End(current_index);
IntVar* const cumul_var =
routing.GetMutableDimension(kTime)->CumulVar(start_index);
IntVar* const end_cumul_var =
routing.GetMutableDimension(kTime)->CumulVar(end_index);
IntVar* const vehicle_time =
solver->MakeDifference(end_cumul_var, cumul_var)->Var();
same_vehicle_vars.push_back(vehicle_time);
}
solver->AddConstraint(
solver->MakeLessOrEqual(solver->MakeSum(same_vehicle_vars), relation.lapse));
}
break;
case VehicleTrips:
if (relation.linked_vehicle_ids.size() > 1) {
int current_vehicle_index;
int previous_vehicle_index = data.VehicleIdIndex(relation.linked_vehicle_ids[0]);
for (int link_index = 1; link_index < relation.linked_vehicle_ids.size();
++link_index) {
current_vehicle_index =
data.VehicleIdIndex(relation.linked_vehicle_ids[link_index]);
int64 current_start_index = routing.Start(current_vehicle_index);
int64 previous_end_index = routing.End(previous_vehicle_index);
IntVar* const current_cumul_var =
routing.GetMutableDimension(kTime)->CumulVar(current_start_index);
IntVar* const previous_end_cumul_var =
routing.GetMutableDimension(kTime)->CumulVar(previous_end_index);
solver->AddConstraint(solver->MakeLessOrEqual(
solver->MakeSum(previous_end_cumul_var, relation.lapse),
current_cumul_var));
previous_vehicle_index = current_vehicle_index;
}
}
break;
case VehicleGroupNumber:
if (relation.linked_vehicle_ids.size() > 1) {
std::vector<IntVar*> used_vehicles;
for (int link_index = 0; link_index < relation.linked_vehicle_ids.size();
++link_index) {
int vehicle_index =
data.VehicleIdIndex(relation.linked_vehicle_ids[link_index]);
int64 start_index = routing.Start(vehicle_index);
int64 end_index = routing.End(vehicle_index);
IntVar* const is_vehicle_used =
solver
->MakeConditionalExpression(
solver->MakeIsDifferentCstVar(routing.NextVar(start_index),
end_index),
solver->MakeIntConst(1), 0)
->Var();
used_vehicles.push_back(is_vehicle_used);
}
solver->AddConstraint(
solver->MakeLessOrEqual(solver->MakeSum(used_vehicles), relation.lapse));
}
break;
default:
std::cout << "ERROR: Relation type (" << relation.type << ") is not implemented"
<< std::endl;
throw -1;
}
}
}
void AddBalanceDimensions(const TSPTWDataDT& data, RoutingModel& routing,
const int horizon) {
if (absl::GetFlag(FLAGS_balance)) {
std::vector<IntVar*> ends_distance_vars;
std::vector<IntVar*> shift_vars;
Solver* solver = routing.solver();
for (std::size_t v = 0; v < data.Vehicles().size(); ++v) {
const operations_research::RoutingDimension& time_dimension =
routing.GetDimensionOrDie(kTime);
const operations_research::RoutingDimension& distance_dimension =
routing.GetDimensionOrDie(kDistance);
const int64 start_index = routing.Start(v);
const int64 end_index = routing.End(v);
IntVar* const time_cumul_var = time_dimension.CumulVar(start_index);
IntVar* const time_cumul_var_end = time_dimension.CumulVar(end_index);
IntVar* const dist_end_cumul_var = distance_dimension.CumulVar(end_index);
ends_distance_vars.push_back(dist_end_cumul_var);
IntVar* const time_difference =
solver->MakeDifference(time_cumul_var_end, time_cumul_var)->Var();
shift_vars.push_back(time_difference);
}
routing.AddDimension(/*zero_evaluator*/ 0, horizon, horizon, true, kTimeBalance);
routing.AddDimension(/*zero_evaluator*/ 0, LLONG_MAX, LLONG_MAX, true,
kDistanceBalance);
int v = 0;
for (const TSPTWDataDT::Vehicle& vehicle : data.Vehicles()) {
routing.GetMutableDimension(kTimeBalance)
->SetSpanCostCoefficientForVehicle((int64)vehicle.cost_time_multiplier, v);
routing.GetMutableDimension(kDistanceBalance)
->SetSpanCostCoefficientForVehicle((int64)vehicle.cost_distance_multiplier, v);
const int64 start_index = routing.Start(v);
const int64 end_index = routing.End(v);
IntVar* const start_time_cumul_var =
routing.GetMutableDimension(kTimeBalance)->CumulVar(start_index);
IntVar* const end_time_cumul_var =
routing.GetMutableDimension(kTimeBalance)->CumulVar(end_index);
start_time_cumul_var->SetMax(0);
solver->AddConstraint(solver->MakeGreaterOrEqual(
end_time_cumul_var, solver->MakeDifference(solver->MakeMax(shift_vars),
solver->MakeMin(shift_vars))));
IntVar* const start_distance_cumul_var =
routing.GetMutableDimension(kDistanceBalance)->CumulVar(start_index);
IntVar* const end_distance_cumul_var =
routing.GetMutableDimension(kDistanceBalance)->CumulVar(end_index);
start_distance_cumul_var->SetMax(0);
solver->AddConstraint(solver->MakeGreaterOrEqual(
end_distance_cumul_var,
solver->MakeDifference(solver->MakeMax(ends_distance_vars),
solver->MakeMin(ends_distance_vars))));
++v;
}
}
}
void AddCapacityDimensions(const TSPTWDataDT& data, RoutingModel& routing,
RoutingIndexManager& manager) {
for (std::size_t unit_i = 0; unit_i < data.Vehicles(0).capacity.size(); ++unit_i) {
const std::string kQuantity = ("quantity" + std::to_string(unit_i)).c_str();
std::vector<int64> capacities;
for (const TSPTWDataDT::Vehicle& vehicle : data.Vehicles()) {
const int64 coef = vehicle.overload_multiplier[unit_i];
if (coef == 0 && vehicle.capacity[unit_i] >= 0) {
capacities.push_back(vehicle.capacity[unit_i]);
} else {
capacities.push_back(LLONG_MAX);
}
}
operations_research::RoutingTransitCallback2 quantity_evaluator =
[&data, &manager, unit_i](const int64 from, const int64 to) {
return data.Quantity(unit_i, manager.IndexToNode(from),
manager.IndexToNode(to));
};
routing.AddDimensionWithVehicleCapacity(
routing.RegisterTransitCallback(quantity_evaluator), LLONG_MAX, capacities, false,
kQuantity);
int v = 0;
for (const TSPTWDataDT::Vehicle& vehicle : data.Vehicles()) {
const int64 start_index = routing.Start(v);
const operations_research::RoutingDimension& unit_dimension =
routing.GetDimensionOrDie(kQuantity);
IntVar* const start_unit_slack_var = unit_dimension.SlackVar(start_index);
IntVar* const start_unit_cumul_var = unit_dimension.CumulVar(start_index);
start_unit_slack_var->SetMax(0);
start_unit_cumul_var->SetMax(vehicle.initial_capacity[unit_i]);
start_unit_cumul_var->SetMin(vehicle.initial_load[unit_i]);
++v;
}
}
}
void AddDistanceDimensions(const TSPTWDataDT& data, RoutingModel& routing,
RoutingIndexManager& manager,
const int64 maximum_route_distance,
const bool free_approach_return) {
std::vector<int> distance_evaluators;
std::vector<int> fake_distance_evaluators;
std::vector<int> distance_order_evaluators;