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3/2-Approximation Algorithm for a Generalized, Multiple Depot, Hamiltonian Path Problem

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  • Rathinam, Sivakumar
  • Sengupta, Raja

Abstract

We consider a Generalized, Multiple Depot Hamiltonian Path Problem (GMDHPP) and show that it has an algorithm with an approximation ratio of 3/2 if the costs are symmetric and satisfy the triangle inequality. This improves on the 2-approximation algorithm already available for the same.

Suggested Citation

  • Rathinam, Sivakumar & Sengupta, Raja, 2007. "3/2-Approximation Algorithm for a Generalized, Multiple Depot, Hamiltonian Path Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt06p2815q, Institute of Transportation Studies, UC Berkeley.
    • Handle: RePEc:cdl:itsrrp:qt06p2815q
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    1. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
    2. 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.
    3. WOLSEY, Laurence A., 1980. "Heuristic analysis, linear programming and branch and bound," LIDAM Reprints CORE 407, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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    Cited by:

    1. Lai, Xiaofan & Xu, Zhou, 2016. "Improved algorithms for joint optimization of facility locations and network connections," European Journal of Operational Research, Elsevier, vol. 250(3), pages 745-753.

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