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An effective PSO-inspired algorithm for the team orienteering problem

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  • Dang, Duc-Cuong
  • Guibadj, Rym Nesrine
  • Moukrim, Aziz

Abstract

The Team Orienteering Problem (TOP) is a particular vehicle routing problem in which the aim is to maximize the profit gained from visiting customers without exceeding a travel cost/time limit. This paper proposes a new and fast evaluation process for TOP based on an interval graph model and a Particle Swarm Optimization inspired Algorithm (PSOiA) to solve the problem. Experiments conducted on the standard benchmark of TOP clearly show that our algorithm outperforms the existing solving methods. PSOiA reached a relative error of 0.0005% whereas the best known relative error in the literature is 0.0394%. Our algorithm detects all but one of the best known solutions. Moreover, a strict improvement was found for one instance of the benchmark and a new set of larger instances was introduced.

Suggested Citation

  • Dang, Duc-Cuong & Guibadj, Rym Nesrine & Moukrim, Aziz, 2013. "An effective PSO-inspired algorithm for the team orienteering problem," European Journal of Operational Research, Elsevier, vol. 229(2), pages 332-344.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:2:p:332-344
    DOI: 10.1016/j.ejor.2013.02.049
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    2. Zhao, Yanlu & Alfandari, Laurent, 2020. "Design of diversified package tours for the digital travel industry : A branch-cut-and-price approach," European Journal of Operational Research, Elsevier, vol. 285(3), pages 825-843.
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    6. Balcik, Burcu, 2017. "Site selection and vehicle routing for post-disaster rapid needs assessment," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 101(C), pages 30-58.
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    8. Alejandro Estrada-Moreno & Albert Ferrer & Angel A. Juan & Javier Panadero & Adil Bagirov, 2020. "The Non-Smooth and Bi-Objective Team Orienteering Problem with Soft Constraints," Mathematics, MDPI, vol. 8(9), pages 1-16, September.
    9. Erika M. Herrera & Javier Panadero & Patricia Carracedo & Angel A. Juan & Elena Perez-Bernabeu, 2022. "Determining Reliable Solutions for the Team Orienteering Problem with Probabilistic Delays," Mathematics, MDPI, vol. 10(20), pages 1-15, October.
    10. Fang, Chao & Han, Zonglei & Wang, Wei & Zio, Enrico, 2023. "Routing UAVs in landslides Monitoring: A neural network heuristic for team orienteering with mandatory visits," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 175(C).
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    14. Kirac, Emre & Milburn, Ashlea Bennett, 2018. "A general framework for assessing the value of social data for disaster response logistics planning," European Journal of Operational Research, Elsevier, vol. 269(2), pages 486-500.
    15. Huang, Yuming & Ge, Bingfeng & Hipel, Keith W. & Fang, Liping & Zhao, Bin & Yang, Kewei, 2023. "Solving the inverse graph model for conflict resolution using a hybrid metaheuristic algorithm," European Journal of Operational Research, Elsevier, vol. 305(2), pages 806-819.
    16. Racha El-Hajj & Rym Nesrine Guibadj & Aziz Moukrim & Mehdi Serairi, 2020. "A PSO based algorithm with an efficient optimal split procedure for the multiperiod vehicle routing problem with profit," Annals of Operations Research, Springer, vol. 291(1), pages 281-316, August.
    17. Divsalar, A. & Vansteenwegen, P. & Sörensen, K. & Cattrysse, D., 2014. "A memetic algorithm for the orienteering problem with hotel selection," European Journal of Operational Research, Elsevier, vol. 237(1), pages 29-49.
    18. Lin, Qiuzhen & Li, Jianqiang & Du, Zhihua & Chen, Jianyong & Ming, Zhong, 2015. "A novel multi-objective particle swarm optimization with multiple search strategies," European Journal of Operational Research, Elsevier, vol. 247(3), pages 732-744.
    19. Ke, Liangjun & Zhai, Laipeng & Li, Jing & Chan, Felix T.S., 2016. "Pareto mimic algorithm: An approach to the team orienteering problem," Omega, Elsevier, vol. 61(C), pages 155-166.
    20. 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.
    21. 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.
    22. Christos Orlis & Nicola Bianchessi & Roberto Roberti & Wout Dullaert, 2020. "The Team Orienteering Problem with Overlaps: An Application in Cash Logistics," Transportation Science, INFORMS, vol. 54(2), pages 470-487, March.
    23. Afsaneh Amiri & Majid Salari, 2019. "Time-constrained maximal covering routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 41(2), pages 415-468, June.
    24. Ren, Jintong & Hao, Jin-Kao & Wu, Feng & Fu, Zhang-Hua, 2023. "An effective hybrid search algorithm for the multiple traveling repairman problem with profits," European Journal of Operational Research, Elsevier, vol. 304(2), pages 381-394.
    25. Bulhões, Teobaldo & Hà, Minh Hoàng & Martinelli, Rafael & Vidal, Thibaut, 2018. "The vehicle routing problem with service level constraints," European Journal of Operational Research, Elsevier, vol. 265(2), pages 544-558.

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