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A Branch-and-Cut-and-Price Algorithm for the Electric Vehicle Routing Problem with Multiple Technologies

Author

Listed:
  • Alberto Ceselli

    (Università degli Studi di Milano)

  • Ángel Felipe

    (Universidad Complutense de Madrid)

  • M. Teresa Ortuño

    (Universidad Complutense de Madrid)

  • Giovanni Righini

    (Università degli Studi di Milano)

  • Gregorio Tirado

    (Universidad Complutense de Madrid)

Abstract

We provide an exact optimization algorithm for the electric vehicle routing problem with multiple recharge technologies. Our branch-and-cut-and-price algorithm relies upon a path-based formulation, where each column in the master problem represents a sequence of customer visits between two recharge stations instead of a whole route. This allows for massive decomposition, and parallel implementation of the pricing phase, exploiting the large number of independent pricing sub-problems. The algorithm could solve instances with up to thirty customers, nine recharge stations, five vehicles and three technologies to proven optimality. Near-optimal heuristic solutions were obtained with a general-purpose MIP solver from the columns generated at the root node.

Suggested Citation

  • Alberto Ceselli & Ángel Felipe & M. Teresa Ortuño & Giovanni Righini & Gregorio Tirado, 2021. "A Branch-and-Cut-and-Price Algorithm for the Electric Vehicle Routing Problem with Multiple Technologies," SN Operations Research Forum, Springer, vol. 2(1), pages 1-33, March.
    • Handle: RePEc:spr:snopef:v:2:y:2021:i:1:d:10.1007_s43069-020-00052-x
    DOI: 10.1007/s43069-020-00052-x
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    References listed on IDEAS

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