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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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    Cited by:

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    2. 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.
    3. Nikzad, Erfaneh & Bashiri, Mahdi & Abbasi, Babak, 2021. "A matheuristic algorithm for stochastic home health care planning," European Journal of Operational Research, Elsevier, vol. 288(3), pages 753-774.

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