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5/3-Approximation Algorithm for a Multiple Depot, Terminal Hamiltonian Path Problem

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  • Sivakumar, Rathinam
  • Sengupta, Raja

Abstract

Though 2-approximation algorithms are available for several Multiple Depot Travelling Salesman Problems (TSPs)and Hamiltonian Path Problems (HPPs), there are no algorithms in the literature for any multiple depot variant of TSP or HPP that has an approximation ratio better than 2. This paper addresses one variant of the Multiple Depot HPP and provides the first 5/3-approximation algorithm for the same when the costs are symmetric and satisfy triangle inequality.

Suggested Citation

  • Sivakumar, Rathinam & Sengupta, Raja, 2007. "5/3-Approximation Algorithm for a Multiple Depot, Terminal Hamiltonian Path Problem," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3dw086dn, Institute of Transportation Studies, UC Berkeley.
    • Handle: RePEc:cdl:itsrrp:qt3dw086dn
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    References listed on IDEAS

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    3. Michael Held & Richard M. Karp, 1970. "The Traveling-Salesman Problem and Minimum Spanning Trees," Operations Research, INFORMS, vol. 18(6), pages 1138-1162, December.
    4. 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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