relation: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/2574/ title: The vehicle routing problem with service level constraints creator: Bulhões, Teobaldo creator: Ha, Minh Hoang creator: Martinelli, Rafael creator: Vidal, Thibaut subject: Information Technology (IT) subject: ISI-indexed journals description: We consider a vehicle routing problem which seeks to minimize cost subject to service level constraints on several groups of deliveries. This problem captures some essential challenges faced by a logistics provider which operates transportation services for a limited number of partners and should respect contractual obligations on service levels. The problem also generalizes several important classes of vehicle routing problems with profits. To solve it, we propose a compact mathematical formulation, a branch-and-price algorithm, and a hybrid genetic algorithm with population management, which relies on problem-tailored solution representation, crossover and local search operators, as well as an adaptive penalization mechanism establishing a good balance between service levels and costs. Our computational experiments show that the proposed heuristic returns very high-quality solutions for this difficult problem, matches all optimal solutions found for small and medium-scale benchmark instances, and improves upon existing algorithms for two important special cases: the vehicle routing problem with private fleet and common carrier, and the capacitated profitable tour problem. The branch-and-price algorithm also produces new optimal solutions for all three problems. publisher: Elsevier date: 2017 type: Article type: PeerReviewed format: application/pdf language: en identifier: https://eprints.uet.vnu.edu.vn/eprints/id/eprint/2574/1/VRP%20with%20service%20level%20constraints.pdf identifier: Bulhões, Teobaldo and Ha, Minh Hoang and Martinelli, Rafael and Vidal, Thibaut (2017) The vehicle routing problem with service level constraints. European Journal of Operational Research . ISSN 0377-2217 (In Press) relation: http://www.sciencedirect.com/science/article/pii/S0377221717307580