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A matheuristic approach to the orienteering problem with service time dependent profits

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  • Yu, Qinxiao
  • Fang, Kan
  • Zhu, Ning
  • Ma, Shoufeng

Abstract

This paper addresses the orienteering problem with service time dependent profits (OPSTP), in which the profit collected at each vertex is characterized by a nonlinear function of service time, and the objective is to maximize the total profits by determining a subset of the vertices to be visited and assigning appropriate service time to each of them within a given time budget. To solve this problem, a mixed integer nonlinear programming model is formulated, and a two-phase matheuristic algorithm that consists of a tabu search method and a nonlinear programming is implemented. Extensive computational experiments are conducted on both randomly generated instances and instances that are adapted from the TSPLIB. The results show that our proposed matheuristic algorithm could be quite effective in finding good-quality solutions.

Suggested Citation

  • Yu, Qinxiao & Fang, Kan & Zhu, Ning & Ma, Shoufeng, 2019. "A matheuristic approach to the orienteering problem with service time dependent profits," European Journal of Operational Research, Elsevier, vol. 273(2), pages 488-503.
    • Handle: RePEc:eee:ejores:v:273:y:2019:i:2:p:488-503
    DOI: 10.1016/j.ejor.2018.08.007
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    1. 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.
    2. 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.
    3. Elin Halvorsen-Weare & Kjetil Fagerholt, 2013. "Routing and scheduling in a liquefied natural gas shipping problem with inventory and berth constraints," Annals of Operations Research, Springer, vol. 203(1), pages 167-186, March.
    4. Han, Anthony Fu-Wha & Chu, Yu-Ching, 2016. "A multi-start heuristic approach for the split-delivery vehicle routing problem with minimum delivery amounts," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 11-31.
    5. George B. Dantzig, 1957. "Discrete-Variable Extremum Problems," Operations Research, INFORMS, vol. 5(2), pages 266-288, April.
    6. Mei, Yi & Salim, Flora D. & Li, Xiaodong, 2016. "Efficient meta-heuristics for the Multi-Objective Time-Dependent Orienteering Problem," European Journal of Operational Research, Elsevier, vol. 254(2), pages 443-457.
    7. Demir, Emrah & Bektaş, Tolga & Laporte, Gilbert, 2012. "An adaptive large neighborhood search heuristic for the Pollution-Routing Problem," European Journal of Operational Research, Elsevier, vol. 223(2), pages 346-359.
    8. 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.
    9. Coelho, V.N. & Grasas, A. & Ramalhinho, H. & Coelho, I.M. & Souza, M.J.F. & Cruz, R.C., 2016. "An ILS-based algorithm to solve a large-scale real heterogeneous fleet VRP with multi-trips and docking constraints," European Journal of Operational Research, Elsevier, vol. 250(2), pages 367-376.
    10. Ann Campbell & Michel Gendreau & Barrett Thomas, 2011. "The orienteering problem with stochastic travel and service times," Annals of Operations Research, Springer, vol. 186(1), pages 61-81, June.
    11. 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.
    12. 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.
    13. Tang, Hao & Miller-Hooks, Elise & Tomastik, Robert, 2007. "Scheduling technicians for planned maintenance of geographically distributed equipment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(5), pages 591-609, September.
    14. 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.
    15. Hu, Qian & Lim, Andrew, 2014. "An iterative three-component heuristic for the team orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 232(2), pages 276-286.
    16. Verbeeck, C. & Sörensen, K. & Aghezzaf, E.-H. & Vansteenwegen, P., 2014. "A fast solution method for the time-dependent orienteering problem," European Journal of Operational Research, Elsevier, vol. 236(2), pages 419-432.
    17. 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.
    18. C Archetti & D Feillet & A Hertz & M G Speranza, 2009. "The capacitated team orienteering and profitable tour problems," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(6), pages 831-842, June.
    19. 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.
    20. Xiao, Yiyong & Konak, Abdullah, 2016. "The heterogeneous green vehicle routing and scheduling problem with time-varying traffic congestion," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 88(C), pages 146-166.
    21. 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.
    22. 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.
    23. Adel Guitouni & Hatem Masri, 2014. "An orienteering model for the search and rescue problem," Computational Management Science, Springer, vol. 11(4), pages 459-473, October.
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    4. Eva Barrena & David Canca & Leandro C. Coelho & Gilbert Laporte, 2023. "Analysis of the selective traveling salesman problem with time-dependent profits," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 31(1), pages 165-193, April.

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