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Dealing with time in the multiple traveling salespersons problem with moving targets

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  • Anke Stieber

    (Helmut Schmidt University)

  • Armin Fügenschuh

    (Brandenburg University of Technology Cottbus-Senftenberg)

Abstract

The multiple traveling salespersons problem with moving targets is a generalization of the classical traveling salespersons problem, where the targets (nodes or objects) are moving over time. Additionally, for each target a visibility time window is given. The task is to find routes for several salespersons so that each target is reached exactly once within its visibility time window and the sum of all traveled distances of all salespersons is minimal. We present different modeling formulations for this TSP variant. The time requirements are modeled differently in each approach. Our goal is to examine what formulation is most suitable in terms of runtime to solve the multiple traveling salespersons problem with moving targets with exact methods. Computational experiments are carried out on randomly generated test instances to compare the different modeling approaches. The results for large-scale instances show, that the best way to model time requirements is to directly insert them into a formulation with discrete time steps.

Suggested Citation

  • Anke Stieber & Armin Fügenschuh, 2022. "Dealing with time in the multiple traveling salespersons problem with moving targets," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(3), pages 991-1017, September.
    • Handle: RePEc:spr:cejnor:v:30:y:2022:i:3:d:10.1007_s10100-020-00712-7
    DOI: 10.1007/s10100-020-00712-7
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    References listed on IDEAS

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    Cited by:

    1. Moumita Mondal & Durgesh Srivastava, 2023. "A Genetic Algorithm-Based Approach to Solve a New Time-Limited Travelling Salesman Problem," International Journal of Distributed Systems and Technologies (IJDST), IGI Global, vol. 14(2), pages 1-14, January.
    2. Maskooki, Alaleh & Kallio, Markku, 2023. "A bi-criteria moving-target travelling salesman problem under uncertainty," European Journal of Operational Research, Elsevier, vol. 309(1), pages 271-285.

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