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GRASP with Path Relinking for the Two-Echelon Vehicle Routing Problem

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Advances in Metaheuristics

Part of the book series: Operations Research/Computer Science Interfaces Series ((ORCS,volume 53))

Abstract

We propose a meta-heuristic based on greedy randomized adaptive search procedure (GRASP) combined with path relinking to address the two-echelon vehicle routing problem (2E-VRP), an extension of the capacitated vehicle routing problem (CVRP) in which the delivery from a single depot to customers is achieved by routing and consolidating the freight through intermediate depots called satellites. The problem is treated by separating the depot-to-satellite transfer and the satellite-to-customer delivery, and iteratively solving the two resulting routing subproblems, while adjusting the satellite workloads that link them. The meta-heuristic scheme consists of applying a GRASP and a local search (LS) procedures in sequence. Then, the resulting solution is linked to an elite solution by means of a path relinking procedure. To escape from infeasible solutions, which are quite common in this kind of problem, a feasibility search (FS) procedure is applied within path relinking. Extensive computational results on instances with up to 50 customers and 5 satellites show that the meta-heuristic is able to improve literature results, both in efficiency and accuracy.

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Authors and Affiliations

  1. CIRRELT, Montreal, QC, Canada

    Teodor Gabriel Crainic & Guido Perboli

  2. Politecnico di Torino, Turin, Italy

    Simona Mancini, Guido Perboli & Roberto Tadei

Authors
  1. Teodor Gabriel Crainic
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  2. Simona Mancini
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  3. Guido Perboli
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  4. Roberto Tadei
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Corresponding authors

Correspondence to Teodor Gabriel Crainic , Simona Mancini , Guido Perboli or Roberto Tadei .

Editor information

Editors and Affiliations

  1. , DIEGM, University of Udine, via delle Scienze 206, Udine, 33100, Italy

    Luca Di Gaspero

  2. , DIEGM, University of Udine, via delle Scienze 206, Udine, 33100, Italy

    Andrea Schaerf

  3. , IRIDIA, Université Libre de Bruxelles, Avenue Franklin Roosevelt 50, Bruxelles, 1050, Belgium

    Thomas Stützle

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Crainic, T.G., Mancini, S., Perboli, G., Tadei, R. (2013). GRASP with Path Relinking for the Two-Echelon Vehicle Routing Problem. In: Di Gaspero, L., Schaerf, A., Stützle, T. (eds) Advances in Metaheuristics. Operations Research/Computer Science Interfaces Series, vol 53. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6322-1_7

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