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An iterated local search heuristic for the capacitated prize-collecting travelling salesman problem

Author

Listed:
  • L Tang

    (Northeastern University)

  • X Wang

    (Northeastern University)

Abstract

This paper considers a variant of the travelling salesman problem named the capacitated prize-collecting travelling salesman problem (CPCTSP), which is derived from the colour-coating production scheduling in a cold rolling mill. The objective of the CPCTSP is to minimize the travel cost and the penalties paid for unvisited customers in such a way that a sufficiently large prize is collected and the demand of the visited customers does not exceed the salesman's capacity. For this problem, we propose an iterated local search (ILS) heuristic adopting guided kick and enhanced dynasearch. The experimental results on randomly generated instances show that the proposed heuristic outperforms the improved tabu search algorithm using frequency-based memory, and the further experimental results on instances collected from real colour-coating production also show that the proposed ILS algorithm is more effective and efficient than the currently adopted manual scheduling method.

Suggested Citation

  • L Tang & X Wang, 2008. "An iterated local search heuristic for the capacitated prize-collecting travelling salesman problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 590-599, May.
    • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:5:d:10.1057_palgrave.jors.2602357
    DOI: 10.1057/palgrave.jors.2602357
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    References listed on IDEAS

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    1. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    2. Russell, Robert A. & Chiang, Wen-Chyuan, 2006. "Scatter search for the vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 169(2), pages 606-622, March.
    3. M. Dell'Amico & F. Maffioli & A. Sciomachen, 1998. "A Lagrangian heuristic for the Prize CollectingTravelling Salesman Problem," Annals of Operations Research, Springer, vol. 81(0), pages 289-306, June.
    4. Gendreau, Michel & Laporte, Gilbert & Semet, Frederic, 1998. "A tabu search heuristic for the undirected selective travelling salesman problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 539-545, April.
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    Cited by:

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