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Matroid Intersection and its application to a Multiple Depot, Multiple TSP

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  • Rathinam, Sivakumar
  • Sengupta, Raja

Abstract

This paper extends the Held-Karp’s lower bound available for a single Travelling Salesman Problem to the following symmetric Multiple Depot, Multiple Travelling Salesman Problem (MDMTSP): Given k salesman that start at di

Suggested Citation

  • Rathinam, Sivakumar & Sengupta, Raja, 2006. "Matroid Intersection and its application to a Multiple Depot, Multiple TSP," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt9sj6585p, Institute of Transportation Studies, UC Berkeley.
    • Handle: RePEc:cdl:itsrrp:qt9sj6585p
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    References listed on IDEAS

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    1. Kulkarni, R. V. & Bhave, P. R., 1985. "Integer programming formulations of vehicle routing problems," European Journal of Operational Research, Elsevier, vol. 20(1), pages 58-67, April.
    2. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
    3. Yang GuoXing, 1995. "Transformation of multidepot multisalesmen problem to the standard travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 81(3), pages 557-560, March.
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