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A novel GRASP solution approach for the Orienteering Problem

Author

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  • Morteza Keshtkaran

    (Shiraz University)

  • Koorush Ziarati

    (Shiraz University)

Abstract

The Orienteering Problem (OP) is a well-known variant of the Traveling Salesman Problem. In this paper, a novel Greedy Randomized Adaptive Search Procedure (GRASP) solution is proposed to solve the OP. The proposed method is shown to outperform state-of-the-art heuristics for the OP in producing high quality solutions. In comparison with the best known solutions of standard benchmark instances, the method can find the optimal or the best known solution of about 70 % of the instances in a reasonable time, which is about 17 % better than the best known approach in the literature. Moreover, a significant improvement is achieved on the solution of two standard benchmark instances.

Suggested Citation

  • Morteza Keshtkaran & Koorush Ziarati, 2016. "A novel GRASP solution approach for the Orienteering Problem," Journal of Heuristics, Springer, vol. 22(5), pages 699-726, October.
    • Handle: RePEc:spr:joheur:v:22:y:2016:i:5:d:10.1007_s10732-016-9316-7
    DOI: 10.1007/s10732-016-9316-7
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    References listed on IDEAS

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    3. 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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    5. Vicente Campos & Rafael Martí & Jesús Sánchez-Oro & Abraham Duarte, 2014. "GRASP with path relinking for the orienteering problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(12), pages 1800-1813, December.
    6. 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.
    7. 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.
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    Cited by:

    1. Bijun Wang & Zheyong Bian & Mo Mansouri, 2023. "Self-adaptive heuristic algorithms for the dynamic and stochastic orienteering problem in autonomous transportation system," Journal of Heuristics, Springer, vol. 29(1), pages 77-137, February.
    2. Dontas, Michael & Sideris, Georgios & Manousakis, Eleftherios G. & Zachariadis, Emmanouil E., 2023. "An adaptive memory matheuristic for the set orienteering problem," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1010-1023.
    3. Sohrabi, Somayeh & Ziarati, Koorush & Keshtkaran, Morteza, 2020. "A Greedy Randomized Adaptive Search Procedure for the Orienteering Problem with Hotel Selection," European Journal of Operational Research, Elsevier, vol. 283(2), pages 426-440.

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