A Robust Branch-Cut-and-Price Algorithm for the Heterogeneous Fleet Vehicle Routing Problem

نویسندگان

  • Artur Alves Pessoa
  • Marcus Poggi de Aragão
  • Eduardo Uchoa
چکیده

This paper presents a robust branch-cut-and-price algorithm for the Heterogeneous Fleet Vehicle Routing Problem (HFVRP), vehicles may have distinct capacities and costs. The columns in the formulation are associated to q-routes, a relaxation of capacitated elementary routes that makes the pricing problem solvable in pseudo-polynomial time. Powerful new families of cuts are also proposed, which are expressed over a very large set of variables. Those cuts do not increase the complexity of the pricing subproblem. Experiments are reported where instances with up to 75 vertices were solved to optimality, a major improvement with respect to previous algorithms. keywords: Extended Formulations, Column generation, Cutting planes.

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تاریخ انتشار 2007