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An Efficient Label-Correcting Algorithm for the Multiobjective Shortest Path Problem

Author

Listed:
  • Yannick Kergosien

    (Université de Tours, LIFAT EA 6300, CNRS, ROOT ERL CNRS 7002, 37200 Tours, France)

  • Antoine Giret

    (Université de Tours, LIFAT EA 6300, CNRS, ROOT ERL CNRS 7002, 37200 Tours, France)

  • Emmanuel Néron

    (Université de Tours, LIFAT EA 6300, CNRS, ROOT ERL CNRS 7002, 37200 Tours, France)

  • Gaël Sauvanet

    (La Compagnie des Mobilités, 37000 Tours, France)

Abstract

This paper proposes an exact algorithm to solve the one-to-one multiobjective shortest path problem. The solution involves determining a set of nondominated paths between two given nodes in a graph that minimizes several objective functions. This study is motivated by the application of this solution method to determine cycling itineraries. The proposed algorithm improves upon a label-correcting algorithm to rapidly solve the problem on large graphs (i.e., up to millions of nodes and edges). To verify the performance of the proposed algorithm, we use computational experiments to compare it with the best-known methods in the literature. The numerical results confirm the efficiency of the proposed algorithm. Summary of Contribution: The paper deals with a classic operations research problem (the one-to-one multiobjective shortest path problem) and is motivated by a real application for cycling itineraries. An efficient method is proposed and is based on a label-correcting algorithm into which several additional improvement techniques are integrated. Computational experiments compare this algorithm with the best-known methods in the literature to validate the performance on large-size graphs (Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) instances from the ninth DIMACS challenge). New instances from the context of cycling itineraries are also proposed.

Suggested Citation

  • Yannick Kergosien & Antoine Giret & Emmanuel Néron & Gaël Sauvanet, 2022. "An Efficient Label-Correcting Algorithm for the Multiobjective Shortest Path Problem," INFORMS Journal on Computing, INFORMS, vol. 34(1), pages 76-92, January.
    • Handle: RePEc:inm:orijoc:v:34:y:2022:i:1:p:76-92
    DOI: 10.1287/ijoc.2021.1081
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    References listed on IDEAS

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