Annals of Operations Research

, Volume 192, Issue 1, pp 67–86

On the tour planning problem

  • Chenbo Zhu
  • J. Q. Hu
  • Fengchun Wang
  • Yifan Xu
  • Rongzeng Cao
Article

DOI: 10.1007/s10479-010-0763-5

Cite this article as:
Zhu, C., Hu, J.Q., Wang, F. et al. Ann Oper Res (2012) 192: 67. doi:10.1007/s10479-010-0763-5

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.

Keywords

Tour planning problem Team orienteering problem Mixed integer linear programming Heuristic Local search 

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Chenbo Zhu
    • 1
  • J. Q. Hu
    • 1
  • Fengchun Wang
    • 2
  • Yifan Xu
    • 1
  • Rongzeng Cao
    • 2
  1. 1.Department of Management Science, School of ManagementFudan UniversityShanghaiChina
  2. 2.IBM China Research LaboratoryBeijingChina

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