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Tabu search for solving the black-and-white travelling salesman problem

Author

Listed:
  • Haitao Li

    (Tianjin University of Commerce
    University of Missouri)

  • Bahram Alidaee

    (University of Mississippi)

Abstract

The black-and-white travelling salesman problem (BWTSP) is an extension to the well-known TSP by partitioning the set of vertices into black and white vertices, and imposing cardinality and length constraints between two consecutive black vertices in a Hamiltonian tour. BWTSP has various applications in aircraft routing, telecommunication network design and logistics. In this paper, we develop several tabu search (TS) heuristics for solving the BWTSP. Our TS is built upon a new efficient neighbourhood structure, which exploits both the permutation and knapsack features of BWTSP. We also embed our TS as a heuristic procedure to improve the upper bound in a mixed-integer linear programming method. Extensive computational experiment on both benchmark and randomly generated instances shows effectiveness and efficiency of our algorithms. Our algorithms are able to obtain optimal and near optimal solutions to small instances in seconds, and find feasible solutions to large instances that have not been solved by the existing methods in the literature.

Suggested Citation

  • Haitao Li & Bahram Alidaee, 2016. "Tabu search for solving the black-and-white travelling salesman problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(8), pages 1061-1079, August.
    • Handle: RePEc:pal:jorsoc:v:67:y:2016:i:8:d:10.1057_jors.2015.122
    DOI: 10.1057/jors.2015.122
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    References listed on IDEAS

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    Cited by:

    1. Muren, & Wu, Jianjun & Zhou, Li & Du, Zhiping & Lv, Ying, 2019. "Mixed steepest descent algorithm for the traveling salesman problem and application in air logistics," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 126(C), pages 87-102.

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