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Generating constrained length personalized bicycle tours

Author

Listed:
  • P. Stroobant

    (Ghent University, imec, IDLab, iGent Tower)

  • P. Audenaert

    (Ghent University, imec, IDLab, iGent Tower)

  • D. Colle

    (Ghent University, imec, IDLab, iGent Tower)

  • M. Pickavet

    (Ghent University, imec, IDLab, iGent Tower)

Abstract

In the context of recreational routing, the problem of finding a route which starts and ends in the same location (while achieving a length between specified upper and lower boundaries) is a common task, especially for tourists or cyclists who want to exercise. The topic of finding a tour between a specified starting and ending location while minimizing one or multiple criteria is well covered in literature. In contrast to this, the route planning task in which a pleasant tour with length between a maximum and a minimum boundary needs to be found is relatively underexplored. In this paper, we provide a formal definition of this problem, taking into account the existing literature on which route attributes influence cyclists in their route choice. We show that the resulting problem is NP-hard and devise a branch-and-bound algorithm that is able to provide a bound on the quality of the best solution in pseudo-polynomial time. Furthermore, we also create an efficient heuristic to tackle the problem and we compare the quality of the solutions that are generated by the heuristic with the bounds provided by the branch-and-bound algorithm. Also, we thoroughly discuss the complexity and running time of the heuristic.

Suggested Citation

  • P. Stroobant & P. Audenaert & D. Colle & M. Pickavet, 2018. "Generating constrained length personalized bicycle tours," 4OR, Springer, vol. 16(4), pages 411-439, December.
    • Handle: RePEc:spr:aqjoor:v:16:y:2018:i:4:d:10.1007_s10288-018-0371-9
    DOI: 10.1007/s10288-018-0371-9
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    References listed on IDEAS

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    1. Su, Jason G. & Winters, Meghan & Nunes, Melissa & Brauer, Michael, 2010. "Designing a route planner to facilitate and promote cycling in Metro Vancouver, Canada," Transportation Research Part A: Policy and Practice, Elsevier, vol. 44(7), pages 495-505, August.
    2. Loiola, Eliane Maria & de Abreu, Nair Maria Maia & Boaventura-Netto, Paulo Oswaldo & Hahn, Peter & Querido, Tania, 2007. "A survey for the quadratic assignment problem," European Journal of Operational Research, Elsevier, vol. 176(2), pages 657-690, January.
    3. E. L. Lawler & D. E. Wood, 1966. "Branch-and-Bound Methods: A Survey," Operations Research, INFORMS, vol. 14(4), pages 699-719, August.
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