// Copyright 2018 Google LLC // 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. // Bi-dimensional knapsack problem. #include #include #include #include "ortools/base/logging.h" #include "ortools/algorithms/knapsack_solver.h" namespace operations_research { void RunKnapsackExample() { // Instantiate the solver. KnapsackSolver solver( KnapsackSolver::KNAPSACK_MULTIDIMENSION_BRANCH_AND_BOUND_SOLVER, "KnapsackExample"); std::vector values = { 360, 83, 59, 130, 431, 67, 230, 52, 93, 125, 670, 892, 600, 38, 48, 147, 78, 256, 63, 17, 120, 164, 432, 35, 92, 110, 22, 42, 50, 323, 514, 28, 87, 73, 78, 15, 26, 78, 210, 36, 85, 189, 274, 43, 33, 10, 19, 389, 276, 312 }; std::vector> weights = { { 7, 0, 30, 22, 80, 94, 11, 81, 70, 64, 59, 18, 0, 36, 3, 8, 15, 42, 9, 0, 42, 47, 52, 32, 26, 48, 55, 6, 29, 84, 2, 4, 18, 56, 7, 29, 93, 44, 71, 3, 86, 66, 31, 65, 0, 79, 20, 65, 52, 13 } }; std::vector capacities = {850}; solver.Init(values, weights, capacities); int64 computed_value = solver.Solve(); // Print solution std::vector packed_items; for (std::size_t i=0; i < values.size(); ++i) { if (solver.BestSolutionContains(i)) packed_items.push_back(i); } std::ostringstream packed_items_ss; std::copy(packed_items.begin(), packed_items.end()-1, std::ostream_iterator(packed_items_ss, ", ")); packed_items_ss << packed_items.back(); std::vector packed_weights; packed_weights.reserve(packed_items.size()); for (const auto &it: packed_items) { packed_weights.push_back(weights[0][it]); } std::ostringstream packed_weights_ss; std::copy(packed_weights.begin(), packed_weights.end()-1, std::ostream_iterator(packed_weights_ss, ", ")); packed_weights_ss << packed_weights.back(); int64 total_weights = std::accumulate(packed_weights.begin(), packed_weights.end(), 0LL); LOG(INFO) << "Total value: " << computed_value; LOG(INFO) << "Packed items: {" << packed_items_ss.str() << "}"; LOG(INFO) << "Total weight: " << total_weights; LOG(INFO) << "Packed weights: {" << packed_weights_ss.str() << "}"; } } // namespace operations_research int main(int argc, char **argv) { google::InitGoogleLogging(argv[0]); FLAGS_logtostderr = 1; operations_research::RunKnapsackExample(); return 0; }