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AILS-II: An Adaptive Iterated Local Search Heuristic for the Large-Scale Capacitated Vehicle Routing Problem

Author

Listed:
  • Vinícius R. Máximo

    (Instituto de Ciência e Tecnologia, Universidade Federal de São Paulo (UNIFESP), São José dos Campos-SP 12247-014, Brazil)

  • Jean-François Cordeau

    (HEC Montreal, Montreal, Quebec H3T 2A7, Canada; GERAD, Montreal, Quebec H3T 2A7, Canada)

  • Mariá C. V. Nascimento

    (Divisão de Ciência da Computação (IEC), Instituto Tecnológico de Aeronáutica (ITA), São José dos Campos-SP 12228-900, Brazil)

Abstract

A recent study on the classical capacitated vehicle routing problem (CVRP) introduced an adaptive version of the widely used iterated local search paradigm, hybridized with a path-relinking (PR) strategy. The solution method, called adaptive iterated local search (AILS)-PR, outperformed existing meta-heuristics for the CVRP on benchmark instances. However, tests on large-scale instances suggest that PR is too slow, making AILS-PR less advantageous in this case. To overcome this challenge, this paper presents an AILS combined with mechanisms to handle large CVRP instances, called AILS-II. The computational cost of this implementation is reduced, whereas the algorithm also searches the solution space more efficiently. AILS-II is very competitive on smaller instances, outperforming the other methods from the literature with respect to the average gap to the best-known solutions. Moreover, AILS-II consistently outperforms the state of the art on larger instances with up to 30,000 vertices.

Suggested Citation

  • Vinícius R. Máximo & Jean-François Cordeau & Mariá C. V. Nascimento, 2024. "AILS-II: An Adaptive Iterated Local Search Heuristic for the Large-Scale Capacitated Vehicle Routing Problem," INFORMS Journal on Computing, INFORMS, vol. 36(4), pages 974-986, July.
    • Handle: RePEc:inm:orijoc:v:36:y:2024:i:4:p:974-986
    DOI: 10.1287/ijoc.2023.0106
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    References listed on IDEAS

    as
    1. Jan Christiaens & Greet Vanden Berghe, 2020. "Slack Induction by String Removals for Vehicle Routing Problems," Transportation Science, INFORMS, vol. 54(2), pages 417-433, March.
    2. G. B. Dantzig & J. H. Ramser, 1959. "The Truck Dispatching Problem," Management Science, INFORMS, vol. 6(1), pages 80-91, October.
    3. Máximo, Vinícius R. & Nascimento, Mariá C.V., 2021. "A hybrid adaptive iterated local search with diversification control to the capacitated vehicle routing problem," European Journal of Operational Research, Elsevier, vol. 294(3), pages 1108-1119.
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