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A multifaceted heuristic for the orienteering problem

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  • B. L. Golden
  • Qiwen Wang
  • Li Liu

Abstract

The orienteering problem involves the selection of a path between an origin and a destination which maximizes total score subject to a time restriction. In previous work we presented an effective heuristic for this NP‐hard problem that outperformed other heuristics from the literature. In this article we describe and test a significantly improved procedure. The new procedure is based on four concepts—center of gravity, randomness, subgravity, and learning. These concepts combine to yield a procedure which is much faster and which results in more nearly optimal solutions than previous procedures.

Suggested Citation

  • B. L. Golden & Qiwen Wang & Li Liu, 1988. "A multifaceted heuristic for the orienteering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(3), pages 359-366, June.
    • Handle: RePEc:wly:navres:v:35:y:1988:i:3:p:359-366
    DOI: 10.1002/1520-6750(198806)35:33.0.CO;2-H
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    References listed on IDEAS

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    1. Bruce L. Golden & Larry Levy & Rakesh Vohra, 1987. "The orienteering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 307-318, June.
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    1. Chao, I-Ming & Golden, Bruce L. & Wasil, Edward A., 1996. "A fast and effective heuristic for the orienteering problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 475-489, February.
    2. E. Erkut & J. Zhang, 1996. "The maximum collection problem with time‐dependent rewards," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(5), pages 749-763, August.
    3. Sadan Kulturel-Konak & Bryan A. Norman & David W. Coit & Alice E. Smith, 2004. "Exploiting Tabu Search Memory in Constrained Problems," INFORMS Journal on Computing, INFORMS, vol. 16(3), pages 241-254, August.
    4. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "Traveling Salesman Problems with Profits," Transportation Science, INFORMS, vol. 39(2), pages 188-205, May.
    5. Deitch, Ray & Ladany, Shaul P., 2000. "The one-period bus touring problem: Solved by an effective heuristic for the orienteering tour problem and improvement algorithm," European Journal of Operational Research, Elsevier, vol. 127(1), pages 69-77, November.
    6. Angelelli, E. & Archetti, C. & Vindigni, M., 2014. "The Clustered Orienteering Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 404-414.
    7. Vansteenwegen, Pieter & Souffriau, Wouter & Berghe, Greet Vanden & Oudheusden, Dirk Van, 2009. "A guided local search metaheuristic for the team orienteering problem," European Journal of Operational Research, Elsevier, vol. 196(1), pages 118-127, July.
    8. Kataoka, Seiji & Yamada, Takeo & Morito, Susumu, 1998. "Minimum directed 1-subtree relaxation for score orienteering problem," European Journal of Operational Research, Elsevier, vol. 104(1), pages 139-153, January.
    9. Matteo Fischetti & Juan José Salazar González & Paolo Toth, 1998. "Solving the Orienteering Problem through Branch-and-Cut," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 133-148, May.
    10. Vansteenwegen, Pieter & Souffriau, Wouter & Oudheusden, Dirk Van, 2011. "The orienteering problem: A survey," European Journal of Operational Research, Elsevier, vol. 209(1), pages 1-10, February.
    11. Krzysztof Ostrowski & Joanna Karbowska-Chilinska & Jolanta Koszelew & Pawel Zabielski, 2017. "Evolution-inspired local improvement algorithm solving orienteering problem," Annals of Operations Research, Springer, vol. 253(1), pages 519-543, June.
    12. H Tang & E Miller-Hooks, 2005. "Algorithms for a stochastic selective travelling salesperson problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(4), pages 439-452, April.
    13. Gunawan, Aldy & Lau, Hoong Chuin & Vansteenwegen, Pieter, 2016. "Orienteering Problem: A survey of recent variants, solution approaches and applications," European Journal of Operational Research, Elsevier, vol. 255(2), pages 315-332.
    14. Xia, Jun & Wang, Kai & Wang, Shuaian, 2019. "Drone scheduling to monitor vessels in emission control areas," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 174-196.

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