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The multi-path Traveling Salesman Problem with stochastic travel costs

Author

Listed:
  • Roberto Tadei

    (Politecnico di Torino)

  • Guido Perboli

    (Politecnico di Torino
    CIRRELT)

  • Francesca Perfetti

    (Politecnico di Torino)

Abstract

Given a set of nodes, where each pair of nodes is connected by several paths and each path shows a stochastic travel cost with unknown probability distribution, the multi-path Traveling Salesman Problem with stochastic travel costs aims at finding an expected minimum Hamiltonian tour connecting all nodes. Under a mild assumption on the unknown probability distribution, a deterministic approximation of the stochastic problem is given. The comparison of such approximation with a Monte Carlo simulation shows both the accuracy and the efficiency of the deterministic approximation, with a mean percentage gap around 2% and a reduction of the computational times of two orders of magnitude.

Suggested Citation

  • Roberto Tadei & Guido Perboli & Francesca Perfetti, 2017. "The multi-path Traveling Salesman Problem with stochastic travel costs," EURO Journal on Transportation and Logistics, Springer;EURO - The Association of European Operational Research Societies, vol. 6(1), pages 3-23, March.
    • Handle: RePEc:spr:eurjtl:v:6:y:2017:i:1:d:10.1007_s13676-014-0056-2
    DOI: 10.1007/s13676-014-0056-2
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    References listed on IDEAS

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