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On the tour planning problem

Author

Listed:
  • Chenbo Zhu
  • J. Hu
  • Fengchun Wang
  • Yifan Xu
  • Rongzeng Cao

Abstract

Increasingly, tourists are planning trips by themselves using the vast amount of information available on the Web. However, they still expect and want trip plan advisory services. In this paper, we study the tour planning problem in which our goal is to design a tour trip with the most desirable sites, subject to various budget and time constraints. We first establish a framework for this problem, and then formulate it as a mixed integer linear programming problem. However, except when the size of the problem is small, say, with less than 20–30 sites, it is computationally infeasible to solve the mixed-integer linear programming problem. Therefore, we propose a heuristic method based on local search ideas. The method is efficient and provides good approximation solutions. Numerical results are provided to validate the method. We also apply our method to the team orienteering problem, a special case of the tour planning problem which has been considered in the literature, and compare our method with other existing methods. Our numerical results show that our method produces very good approximation solutions with relatively small computational efforts comparing with other existing methods. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Chenbo Zhu & J. Hu & Fengchun Wang & Yifan Xu & Rongzeng Cao, 2012. "On the tour planning problem," Annals of Operations Research, Springer, vol. 192(1), pages 67-86, January.
  • Handle: RePEc:spr:annopr:v:192:y:2012:i:1:p:67-86:10.1007/s10479-010-0763-5
    DOI: 10.1007/s10479-010-0763-5
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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. Jean-Yves Potvin & Tanguy Kervahut & Bruno-Laurent Garcia & Jean-Marc Rousseau, 1996. "The Vehicle Routing Problem with Time Windows Part I: Tabu Search," INFORMS Journal on Computing, INFORMS, vol. 8(2), pages 158-164, May.
    3. 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.
    4. Jean-Yves Potvin & Samy Bengio, 1996. "The Vehicle Routing Problem with Time Windows Part II: Genetic Search," INFORMS Journal on Computing, INFORMS, vol. 8(2), pages 165-172, May.
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    Cited by:

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    3. Kotiloglu, S. & Lappas, T. & Pelechrinis, K. & Repoussis, P.P., 2017. "Personalized multi-period tour recommendations," Tourism Management, Elsevier, vol. 62(C), pages 76-88.
    4. Ruiz-Meza, José & Montoya-Torres, Jairo R., 2022. "A systematic literature review for the tourist trip design problem: Extensions, solution techniques and future research lines," Operations Research Perspectives, Elsevier, vol. 9(C).

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