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A two-level variable neighbourhood search for the Euclidean clustered vehicle routing problem

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  • DEFRYN, Christof
  • SÖRENSEN, Kenneth

Abstract

In this paper, a metaheuristic approach is presented to solve the Clustered Vehicle Routing Problem (CluVRP). The CluVRP, in which customers are grouped into predefined clusters, can be seen as a generalization of the classical Capacitated Vehicle Routing Problem (CVRP). When serving all these customers with a given fleet of vehicles it should be ensured that clients belonging to the same cluster are served by one vehicle, sequentially in the same path (CluVRP with hard cluster constraints). In a second phase, these constraints will be relaxed as we will define the CluVRP with so? cluster constraints. The proposed metaheuristic approach tries to find the optimal solution for both problems by combining two variable neighbourhood search algorithms, exploring the distribution area at two different levels. ?The algorithm is tested on different benchmark instances from the literature with up to 484 nodes, obtaining high quality solutions.

Suggested Citation

  • DEFRYN, Christof & SÖRENSEN, Kenneth, 2015. "A two-level variable neighbourhood search for the Euclidean clustered vehicle routing problem," Working Papers 2015002, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2015002
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    References listed on IDEAS

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    1. G. B. Dantzig & J. H. Ramser, 1959. "The Truck Dispatching Problem," Management Science, INFORMS, vol. 6(1), pages 80-91, October.
    2. G Laporte & U Palekar, 2002. "Some applications of the clustered travelling salesman problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(9), pages 972-976, September.
    3. Billy E. Gillett & Leland R. Miller, 1974. "A Heuristic Algorithm for the Vehicle-Dispatch Problem," Operations Research, INFORMS, vol. 22(2), pages 340-349, April.
    4. Janssens, Jochen & Van den Bergh, Joos & Sörensen, Kenneth & Cattrysse, Dirk, 2015. "Multi-objective microzone-based vehicle routing for courier companies: From tactical to operational planning," European Journal of Operational Research, Elsevier, vol. 242(1), pages 222-231.
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    Cited by:

    1. Timo Hintsch & Stefan Irnich, 2017. "Large Multiple Neighborhood Search for the Clustered Vehicle-Routing Problem," Working Papers 1701, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    2. AERTS, Babiche & CORNELISSENS, Trijntje & SÖRENSEN, Kenneth, 2020. "Solving the joint order batching and picker routing problem, as a clustered vehicle routing problem," Working Papers 2020003, University of Antwerp, Faculty of Business and Economics.

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    Keywords

    Clustered Vehicle Routing Problem (CVRP); Variable neighbourhood search; Metaheuristics;
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