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The undirected m-Capacitated Peripatetic Salesman Problem

Listed author(s):
  • Duchenne, Éric
  • Laporte, Gilbert
  • Semet, Frédéric
Registered author(s):

    In the m-Capacitated Peripatetic Salesman Problem (m-CPSP) the aim is to determine m Hamiltonian cycles of minimal total cost on a graph, such that all the edges are traversed less than the value of their capacity. This article introduces three formulations for the m-CPSP. Two branch-and-cut algorithms and one branch-and-price algorithm are developed. Tests performed on randomly generated and on TSPLIB Euclidean instances indicate that the branch-and-price algorithm can solve instances with more than twice the size of what is achievable with the branch-and-cut algorithms.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 223 (2012)
    Issue (Month): 3 ()
    Pages: 637-643

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    Handle: RePEc:eee:ejores:v:223:y:2012:i:3:p:637-643
    DOI: 10.1016/j.ejor.2012.07.022
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    1. Duchenne, Eric & Laporte, Gilbert & Semet, Frederic, 2005. "Branch-and-cut algorithms for the undirected m-Peripatetic Salesman Problem," European Journal of Operational Research, Elsevier, vol. 162(3), pages 700-712, May.
    2. Asef-Vaziri, Ardavan & Laporte, Gilbert, 2005. "Loop based facility planning and material handling," European Journal of Operational Research, Elsevier, vol. 164(1), pages 1-11, July.
    3. Plastria, Frank, 2002. "Formulating logical implications in combinatorial optimisation," European Journal of Operational Research, Elsevier, vol. 140(2), pages 338-353, July.
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