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The hiking tourist problem

Author

Listed:
  • Fabien Tricoire

    (University of Vienna)

  • Sophie N. Parragh

    (Johannes Kepler University Linz)

  • Margaretha Gansterer

    (University of Klagenfurt)

Abstract

Hiking is among the most popular outdoor activities. In this paper, we introduce the hiking tourist problem (HTP) to support hikers in their trip planning to attractive hiking spots in a certain region. In the HTP, a set of hikes out of a larger set of potential hikes is selected and the mode of transport between the hiking locations is determined. The considered constraints involve a minimum and a maximum number of travel days, a maximum total cumulative elevation gain of all selected hikes and a maximum number of hikes. Two objectives are optimized concurrently: the total attractiveness of the travel plan is maximized and its total emissions are minimized. Several families of valid inequalities are discussed and a bi-objective branch-and-bound algorithm is tailored to solve the proposed problem. In a computational study on realistic instances for different regions in France, the impact of the proposed valid inequalities is analyzed and the trade-off between attractiveness and emissions is discussed.

Suggested Citation

  • Fabien Tricoire & Sophie N. Parragh & Margaretha Gansterer, 2024. "The hiking tourist problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(2), pages 183-207, June.
    • Handle: RePEc:spr:cejnor:v:32:y:2024:i:2:d:10.1007_s10100-023-00895-9
    DOI: 10.1007/s10100-023-00895-9
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    References listed on IDEAS

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    1. Archetti, Claudia & Corberán, Ángel & Plana, Isaac & Sanchis, José Maria & Speranza, M. Grazia, 2015. "A matheuristic for the Team Orienteering Arc Routing Problem," European Journal of Operational Research, Elsevier, vol. 245(2), pages 392-401.
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    4. Riera-Ledesma, Jorge & Salazar-González, Juan José, 2017. "Solving the Team Orienteering Arc Routing Problem with a column generation approach," European Journal of Operational Research, Elsevier, vol. 262(1), pages 14-27.
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    8. Sophie N. Parragh & Fabien Tricoire & Walter J. Gutjahr, 2022. "A branch-and-Benders-cut algorithm for a bi-objective stochastic facility location problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 44(2), pages 419-459, June.
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    1. Herbert Dawid & Karl F. Doerner & Gustav Feichtinger & Margaretha Gansterer & Peter M. Kort & Andrea Seidl, 2024. "Advances in applied optimal control and combinatorial optimization: special isssue in honor of Richard F. Hartl," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 32(2), pages 177-182, June.

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