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The target visitation arc routing problem

Author

Listed:
  • Jessica Rodríguez-Pereira

    (Universitat Pompeu Fabra
    Barcelona GSE)

  • Gilbert Laporte

    (HEC Montréal
    University of Bath)

Abstract

This paper studies the target visitation arc routing problem on an undirected graph. This problem combines the well-known undirected rural postman problem and the linear ordering problem. In this problem, there is a set of required edges partitioned into targets, which must be traversed and there are pairwise preferences for the order in which some targets are serviced, which generates a revenue if the preference is satisfied. The aim is to find a tour that traverses all required edges at least once, and offers a compromise between the revenue generated by the order in which targets are serviced, and the routing cost of the tour. A linear integer programming formulation including some families of valid inequalities is proposed. Despite the difficulty of the problem, the model can be used to solve to optimality around 62% of the test instances.

Suggested Citation

  • Jessica Rodríguez-Pereira & Gilbert Laporte, 2022. "The target visitation arc routing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 60-76, April.
    • Handle: RePEc:spr:topjnl:v:30:y:2022:i:1:d:10.1007_s11750-021-00601-5
    DOI: 10.1007/s11750-021-00601-5
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    References listed on IDEAS

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