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Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model

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  • Macedo, Rita
  • Alves, Cláudio
  • Valério de Carvalho, J.M.
  • Clautiaux, François
  • Hanafi, Saïd

Abstract

In this paper, we address a variant of the vehicle routing problem called the vehicle routing problem with time windows and multiple routes. It considers that a given vehicle can be assigned to more than one route per planning period. We propose a new exact algorithm for this problem. Our algorithm is iterative and it relies on a pseudo-polynomial network flow model whose nodes represent time instants, and whose arcs represent feasible vehicle routes. This algorithm was tested on a set of benchmark instances from the literature. The computational results show that our method is able to solve more instances than the only other exact method described so far in the literature, and it clearly outperforms this method in terms of computing time.

Suggested Citation

  • Macedo, Rita & Alves, Cláudio & Valério de Carvalho, J.M. & Clautiaux, François & Hanafi, Saïd, 2011. "Solving the vehicle routing problem with time windows and multiple routes exactly using a pseudo-polynomial model," European Journal of Operational Research, Elsevier, vol. 214(3), pages 536-545, November.
    • Handle: RePEc:eee:ejores:v:214:y:2011:i:3:p:536-545
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    References listed on IDEAS

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    5. Lahyani, Rahma & Khemakhem, Mahdi & Semet, Frédéric, 2015. "Rich vehicle routing problems: From a taxonomy to a definition," European Journal of Operational Research, Elsevier, vol. 241(1), pages 1-14.
    6. de Lima, Vinícius L. & Alves, Cláudio & Clautiaux, François & Iori, Manuel & Valério de Carvalho, José M., 2022. "Arc flow formulations based on dynamic programming: Theoretical foundations and applications," European Journal of Operational Research, Elsevier, vol. 296(1), pages 3-21.
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