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An adaptive ejection pool with toggle-rule diversification approach for the capacitated team orienteering problem

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  • Luo, Zhixing
  • Cheang, Brenda
  • Lim, Andrew
  • Zhu, Wenbin

Abstract

In the capacitated team orienteering problem (CTOP), we are given a set of homogeneous vehicles and a set of customers each with a service demand value and a profit value. A vehicle can get the profit of a customer by satisfying its demand, but the total demand of all customers in its route cannot exceed the vehicle capacity and the length of the route must be within a specified maximum. The problem is to design a set of routes that maximizes the total profit collected by the vehicles. In this article, we propose a new heuristic algorithm for the CTOP using the ejection pool framework with an adaptive strategy and a diversification mechanism based on toggling between two priority rules. Experimental results show that our algorithm can match or improve all the best known results on the standard CTOP benchmark instances proposed by Archetti et al. (2008).

Suggested Citation

  • Luo, Zhixing & Cheang, Brenda & Lim, Andrew & Zhu, Wenbin, 2013. "An adaptive ejection pool with toggle-rule diversification approach for the capacitated team orienteering problem," European Journal of Operational Research, Elsevier, vol. 229(3), pages 673-682.
    • Handle: RePEc:eee:ejores:v:229:y:2013:i:3:p:673-682
    DOI: 10.1016/j.ejor.2012.12.020
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    References listed on IDEAS

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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. 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.
    3. Andrew Lim & Xingwen Zhang, 2007. "A Two-Stage Heuristic with Ejection Pools and Generalized Ejection Chains for the Vehicle Routing Problem with Time Windows," INFORMS Journal on Computing, INFORMS, vol. 19(3), pages 443-457, August.
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    Cited by:

    1. Asma Ben-Said & Racha El-Hajj & Aziz Moukrim, 2019. "A variable space search heuristic for the Capacitated Team Orienteering Problem," Journal of Heuristics, Springer, vol. 25(2), pages 273-303, April.
    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.
    3. Shiri, Davood & Akbari, Vahid & Hassanzadeh, Ali, 2024. "The Capacitated Team Orienteering Problem: An online optimization framework with predictions of unknown accuracy," Transportation Research Part B: Methodological, Elsevier, vol. 185(C).

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