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Preprocessing to Reduce Vehicle Capacity for Routing Problems

Author

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  • Twan Dollevoet

    (Erasmus University Rotterdam)

  • Remy Spliet

    (Erasmus University Rotterdam)

Abstract

We provide a preprocessing method to reduce the vehicle capacity for instances of the capacitated vehicle routing problem. This improves the LP bound of many formulations of the capacitated vehicle routing problem. It also speeds up common algorithms for which the computation time depends on the vehicle capacity. Our simulation experiments suggest that, perhaps surprisingly, often the vehicle capacity is very tight in the sense that it cannot be reduced by much.

Suggested Citation

  • Twan Dollevoet & Remy Spliet, 2023. "Preprocessing to Reduce Vehicle Capacity for Routing Problems," SN Operations Research Forum, Springer, vol. 4(2), pages 1-7, June.
    • Handle: RePEc:spr:snopef:v:4:y:2023:i:2:d:10.1007_s43069-023-00220-9
    DOI: 10.1007/s43069-023-00220-9
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    References listed on IDEAS

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    1. Uchoa, Eduardo & Pecin, Diego & Pessoa, Artur & Poggi, Marcus & Vidal, Thibaut & Subramanian, Anand, 2017. "New benchmark instances for the Capacitated Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 257(3), pages 845-858.
    2. Letchford, Adam N. & Salazar-González, Juan-José, 2015. "Stronger multi-commodity flow formulations of the Capacitated Vehicle Routing Problem," European Journal of Operational Research, Elsevier, vol. 244(3), pages 730-738.
    3. Dollevoet, T.A.B. & Munari, P. & Spliet, R., 2020. "A p-step formulation for the capacitated vehicle routing problem," Econometric Institute Research Papers EI2020-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    4. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
    Full references (including those not matched with items on IDEAS)

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