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A dynamic programming operator for tour location problems applied to the covering tour problem

Author

Listed:
  • Leticia Vargas

    (CNRS, LAAS
    Université de Toulouse)

  • Nicolas Jozefowiez

    (CNRS, LAAS
    Université de Toulouse)

  • Sandra Ulrich Ngueveu

    (CNRS, LAAS
    Université de Toulouse)

Abstract

This paper presents an evaluation operator for single-trip vehicle routing problems where it is not necessary to visit all the nodes. Such problems are known as Tour Location Problems. The operator, called Selector, is a dynamic programming algorithm that converts a given sequence of nodes into a feasible tour. The operator returns a subsequence of this giant tour which is optimal in terms of length. The procedure is implemented in an adaptive large neighborhood search to solve a specific tour location problem: the Covering Tour Problem. This problem consists in finding a lowest-cost Hamiltonian cycle over a subset of nodes such that nodes outside the tour are within a given distance from a visited node. The metaheuristic proposed is competitive as shown by the quality of results evaluated using the output of a state-of-the-art exact algorithm.

Suggested Citation

  • Leticia Vargas & Nicolas Jozefowiez & Sandra Ulrich Ngueveu, 2017. "A dynamic programming operator for tour location problems applied to the covering tour problem," Journal of Heuristics, Springer, vol. 23(1), pages 53-80, February.
    • Handle: RePEc:spr:joheur:v:23:y:2017:i:1:d:10.1007_s10732-017-9324-2
    DOI: 10.1007/s10732-017-9324-2
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    References listed on IDEAS

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