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Technical Note—A Note on the Multiple Traveling Salesmen Problem

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  • M. R. Rao

    (New York University, New York, New York, and Indian Institute of Management, Bangalore, India)

Abstract

The fixed charge symmetric multiple traveling salesmen problem with n cities and m salesmen is transformed to a standard symmetric traveling salesman problem with n + m − 1 cities. The asymmetric problem with m = 2 and a different base city for each salesman is also transformed to a standard asymmetric traveling salesman problem.

Suggested Citation

  • M. R. Rao, 1980. "Technical Note—A Note on the Multiple Traveling Salesmen Problem," Operations Research, INFORMS, vol. 28(3-part-i), pages 628-632, June.
    • Handle: RePEc:inm:oropre:v:28:y:1980:i:3-part-i:p:628-632
    DOI: 10.1287/opre.28.3.628
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    Cited by:

    1. Antonio Martinez‐Sykora & Tolga Bektaş, 2015. "Transformations of node‐balanced routing problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(5), pages 370-387, August.
    2. He, Pengfei & Hao, Jin-Kao, 2023. "Memetic search for the minmax multiple traveling salesman problem with single and multiple depots," European Journal of Operational Research, Elsevier, vol. 307(3), pages 1055-1070.
    3. José Alejandro Cornejo-Acosta & Jesús García-Díaz & Julio César Pérez-Sansalvador & Carlos Segura, 2023. "Compact Integer Programs for Depot-Free Multiple Traveling Salesperson Problems," Mathematics, MDPI, vol. 11(13), pages 1-25, July.
    4. Luigi Di Puglia Pugliese & Francesca Guerriero, 2016. "On the shortest path problem with negative cost cycles," Computational Optimization and Applications, Springer, vol. 63(2), pages 559-583, March.

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