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The multi-vehicle cumulative covering tour problem

Author

Listed:
  • David A. Flores-Garza

    (Universidad Autónoma de Nuevo León)

  • M. Angélica Salazar-Aguilar

    (Universidad Autónoma de Nuevo León)

  • Sandra Ulrich Ngueveu

    (Univ de Toulouse, INP, LAAS
    LAAS)

  • Gilbert Laporte

    (HEC Montréal)

Abstract

This paper introduces the multi-vehicle cumulative covering tour problem whose motivation arises from humanitarian logistics. The objective is to determine a set of tours that must be followed by a fleet of vehicles in order to minimize the sum of arrival times (latency) at each visited location. There are three types of locations: mandatory, optional, and unreachable. Each mandatory location must be visited, and optional locations are visited in order to cover the unreachable locations. To guarantee the vehicle autonomy, the duration of each tour should not exceed a given time limit. A mixed integer linear formulation and a greedy randomized adaptive search procedure are proposed for this problem. The performance of the algorithm is assessed over a large set of instances adapted from the literature. Computational results confirm the efficiency of the proposed algorithm.

Suggested Citation

  • David A. Flores-Garza & M. Angélica Salazar-Aguilar & Sandra Ulrich Ngueveu & Gilbert Laporte, 2017. "The multi-vehicle cumulative covering tour problem," Annals of Operations Research, Springer, vol. 258(2), pages 761-780, November.
    • Handle: RePEc:spr:annopr:v:258:y:2017:i:2:d:10.1007_s10479-015-2062-7
    DOI: 10.1007/s10479-015-2062-7
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    References listed on IDEAS

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    Cited by:

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    2. Glock, Katharina & Meyer, Anne, 2023. "Spatial coverage in routing and path planning problems," European Journal of Operational Research, Elsevier, vol. 305(1), pages 1-20.
    3. Karaoğlan, İsmail & Erdoğan, Güneş & Koç, Çağrı, 2018. "The Multi-Vehicle Probabilistic Covering Tour Problem," European Journal of Operational Research, Elsevier, vol. 271(1), pages 278-287.
    4. Glize, Estèle & Roberti, Roberto & Jozefowiez, Nicolas & Ngueveu, Sandra Ulrich, 2020. "Exact methods for mono-objective and Bi-Objective Multi-Vehicle Covering Tour Problems," European Journal of Operational Research, Elsevier, vol. 283(3), pages 812-824.
    5. Arslan, Okan, 2021. "The location-or-routing problem," Transportation Research Part B: Methodological, Elsevier, vol. 147(C), pages 1-21.

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