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Hybrid dynamic programming with bounding algorithm for the multi-profit orienteering problem

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  • Kim, Hyunjoon
  • Kim, Byung-In

Abstract

The multi-profit orienteering problem (MPOP), a variant of the orienteering problem, was introduced in 2020. In MPOP, each vertex has multiple profits, and a profit is determined by the time of visit. Therefore, the vertices to visit as well as the visit sequence and visit times must be optimally selected. The purpose of MPOP is to maximize the total profits collected from the vertices while satisfying the travel time limit constraint. To date, no exact algorithm has been developed for MPOP. This paper proposes a dynamic programming (DP)-based exact algorithm for MPOP for the first time. The proposed algorithm combines DP, ng-route relaxed DP, incumbent solution generation algorithms, and bounding rules. The proposed algorithm can obtain the optimal solutions for 33 previously unsolved benchmark instances and update the best solutions in 23 benchmark instances for MPOP.

Suggested Citation

  • Kim, Hyunjoon & Kim, Byung-In, 2022. "Hybrid dynamic programming with bounding algorithm for the multi-profit orienteering problem," European Journal of Operational Research, Elsevier, vol. 303(2), pages 550-566.
    • Handle: RePEc:eee:ejores:v:303:y:2022:i:2:p:550-566
    DOI: 10.1016/j.ejor.2022.02.045
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    References listed on IDEAS

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    1. R. Ramesh & Yong-Seok Yoon & Mark H. Karwan, 1992. "An Optimal Algorithm for the Orienteering Tour Problem," INFORMS Journal on Computing, INFORMS, vol. 4(2), pages 155-165, May.
    2. Roberto Baldacci & Aristide Mingozzi & Roberto Roberti, 2011. "New Route Relaxation and Pricing Strategies for the Vehicle Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1269-1283, October.
    3. Morteza Keshtkaran & Koorush Ziarati & Andrea Bettinelli & Daniele Vigo, 2016. "Enhanced exact solution methods for the Team Orienteering Problem," International Journal of Production Research, Taylor & Francis Journals, vol. 54(2), pages 591-601, January.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. Chao, I-Ming & Golden, Bruce L. & Wasil, Edward A., 1996. "The team orienteering problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 464-474, February.
    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. Leifer, Adrienne C. & Rosenwein, Moshe B., 1994. "Strong linear programming relaxations for the orienteering problem," European Journal of Operational Research, Elsevier, vol. 73(3), pages 517-523, March.
    11. Jesse Pietz & Johannes O. Royset, 2013. "Generalized orienteering problem with resource dependent rewards," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(4), pages 294-312, June.
    12. Wouter Souffriau & Pieter Vansteenwegen & Greet Vanden Berghe & Dirk Van Oudheusden, 2013. "The Multiconstraint Team Orienteering Problem with Multiple Time Windows," Transportation Science, INFORMS, vol. 47(1), pages 53-63, February.
    13. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
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