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New exact method for large asymmetric distance-constrained vehicle routing problem

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  • Almoustafa, Samira
  • Hanafi, Said
  • Mladenović, Nenad

Abstract

In this paper we revise and modify an old branch-and-bound method for solving the asymmetric distance–constrained vehicle routing problem suggested by Laporte et al. in 1987. Our modification is based on reformulating distance–constrained vehicle routing problem into a travelling salesman problem, and on using assignment problem as a lower bounding procedure. In addition, our algorithm uses the best-first strategy and new tolerance based branching rules. Since our method is fast but memory consuming, it could stop before optimality is proven. Therefore, we introduce the randomness, in case of ties, in choosing the node of the search tree. If an optimal solution is not found, we restart our procedure. As far as we know, the instances that we have solved exactly (up to 1000 customers) are much larger than the instances considered for other vehicle routing problem models from the recent literature. So, despite of its simplicity, this proposed algorithm is capable of solving the largest instances ever solved in the literature. Moreover, this approach is general and may be used for solving other types of vehicle routing problems.

Suggested Citation

  • Almoustafa, Samira & Hanafi, Said & Mladenović, Nenad, 2013. "New exact method for large asymmetric distance-constrained vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 226(3), pages 386-394.
    • Handle: RePEc:eee:ejores:v:226:y:2013:i:3:p:386-394
    DOI: 10.1016/j.ejor.2012.11.040
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    References listed on IDEAS

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    2. Kampars Janis & Shmite Elina, 2014. "STORN: Solution to Traversal of Road Networks/ RCTI: izbraucama ceļu tīkla risinājums/ РПДС: Решение дорожных сетей для проезда," Information Technology and Management Science, Sciendo, vol. 17(1), pages 74-80, December.
    3. Fagui Liu & Lvshengbiao Wang & Mengke Gui & Yang Zhang & Yulin Lan & Chengqi Lai & Boyuan Zhu, 2023. "A hybrid heuristic algorithm for urban distribution with simultaneous pickup-delivery and time window," Journal of Heuristics, Springer, vol. 29(2), pages 269-311, June.
    4. Marcel Turkensteen & Dmitry Malyshev & Boris Goldengorin & Panos M. Pardalos, 2017. "The reduction of computation times of upper and lower tolerances for selected combinatorial optimization problems," Journal of Global Optimization, Springer, vol. 68(3), pages 601-622, July.

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