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Improvements to the Or-opt heuristic for the symmetric travelling salesman problem

Author

Listed:
  • G Babin

    (HEC Montréal)

  • S Deneault

    (HEC Montréal)

  • G Laporte

    (HEC Montréal)

Abstract

Several variants and generalizations of the Or-opt heuristic for the Symmetric Travelling Salesman Problem are developed and compared on random and planar instances. Some of the proposed algorithms are shown to significantly improve upon the standard 2-opt and Or-opt heuristics.

Suggested Citation

  • G Babin & S Deneault & G Laporte, 2007. "Improvements to the Or-opt heuristic for the symmetric travelling salesman problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(3), pages 402-407, March.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:3:d:10.1057_palgrave.jors.2602160
    DOI: 10.1057/palgrave.jors.2602160
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    References listed on IDEAS

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    1. S. Lin & B. W. Kernighan, 1973. "An Effective Heuristic Algorithm for the Traveling-Salesman Problem," Operations Research, INFORMS, vol. 21(2), pages 498-516, April.
    2. Geoffrey Zweig, 1995. "An Effective Tour Construction and Improvement Procedure for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 43(6), pages 1049-1057, December.
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    4. G. A. Croes, 1958. "A Method for Solving Traveling-Salesman Problems," Operations Research, INFORMS, vol. 6(6), pages 791-812, December.
    5. Helsgaun, Keld, 2000. "An effective implementation of the Lin-Kernighan traveling salesman heuristic," European Journal of Operational Research, Elsevier, vol. 126(1), pages 106-130, October.
    6. Jon Jouis Bentley, 1992. "Fast Algorithms for Geometric Traveling Salesman Problems," INFORMS Journal on Computing, INFORMS, vol. 4(4), pages 387-411, November.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Paredes-Belmar, Germán & Montero, Elizabeth & Lüer-Villagra, Armin & Marianov, Vladimir & Araya-Sassi, Claudio, 2022. "Vehicle routing for milk collection with gradual blending: A case arising in Chile," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1403-1416.
    2. Shafahi, Ali & Wang, Zhongxiang & Haghani, Ali, 2018. "SpeedRoute: Fast, efficient solutions for school bus routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 117(PA), pages 473-493.
    3. 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.
    4. Juan D. Palacio & Juan Carlos Rivera, 2022. "A multi-start evolutionary local search for the one-commodity pickup and delivery traveling salesman problem," Annals of Operations Research, Springer, vol. 316(2), pages 979-1011, September.
    5. H-Y Lin & C-J Liao & C-T Tseng, 2011. "An application of variable neighbourhood search to hospital call scheduling of infant formula promotion," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(6), pages 949-959, June.
    6. G Laporte, 2010. "A concise guide to the Traveling Salesman Problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(1), pages 35-40, January.

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