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A variable neighborhood search method for the orienteering problem with hotel selection

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  • Divsalar, A.
  • Vansteenwegen, P.
  • Cattrysse, D.

Abstract

In this paper, we present the orienteering problem with hotel selection (OPHS), an extension of the orienteering problem (OP). In the OPHS, a set of vertices with a score and a set of hotels are given. The goal is to determine a fixed number of connected trips that visits some vertices and maximizes the sum of the collected scores. Each trip is limited in length and should start and end in one of the hotels. We formulate the problem mathematically, explain the differences with related optimization problems and indicate what makes this problem inherently more difficult.

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  • Divsalar, A. & Vansteenwegen, P. & Cattrysse, D., 2013. "A variable neighborhood search method for the orienteering problem with hotel selection," International Journal of Production Economics, Elsevier, vol. 145(1), pages 150-160.
    • Handle: RePEc:eee:proeco:v:145:y:2013:i:1:p:150-160
    DOI: 10.1016/j.ijpe.2013.01.010
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    References listed on IDEAS

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    1. Pieter Vansteenwegen & Wouter Souffriau & Greet Vanden Berghe & Dirk Van Oudheusden, 2009. "Metaheuristics for Tourist Trip Planning," Lecture Notes in Economics and Mathematical Systems, in: Kenneth Sörensen & Marc Sevaux & Walter Habenicht & Martin Josef Geiger (ed.), Metaheuristics in the Service Industry, chapter 2, pages 15-31, Springer.
    2. Hansen, Pierre & Mladenovic, Nenad, 2001. "Variable neighborhood search: Principles and applications," European Journal of Operational Research, Elsevier, vol. 130(3), pages 449-467, May.
    3. Vansteenwegen, Pieter & Souffriau, Wouter & Oudheusden, Dirk Van, 2011. "The orienteering problem: A survey," European Journal of Operational Research, Elsevier, vol. 209(1), pages 1-10, February.
    4. 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.
    5. 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.
    6. Chao, I-Ming & Golden, Bruce L. & Wasil, Edward A., 1996. "A fast and effective heuristic for the orienteering problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 475-489, February.
    7. P Vansteenwegen & W Souffriau & K Sörensen, 2012. "The travelling salesperson problem with hotel selection," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(2), pages 207-217, February.
    8. Labadie, Nacima & Mansini, Renata & Melechovský, Jan & Wolfler Calvo, Roberto, 2012. "The Team Orienteering Problem with Time Windows: An LP-based Granular Variable Neighborhood Search," European Journal of Operational Research, Elsevier, vol. 220(1), pages 15-27.
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    5. Sifaleras, Angelo & Konstantaras, Ioannis & Mladenović, Nenad, 2015. "Variable neighborhood search for the economic lot sizing problem with product returns and recovery," International Journal of Production Economics, Elsevier, vol. 160(C), pages 133-143.
    6. Sohrabi, Somayeh & Ziarati, Koorush & Keshtkaran, Morteza, 2020. "A Greedy Randomized Adaptive Search Procedure for the Orienteering Problem with Hotel Selection," European Journal of Operational Research, Elsevier, vol. 283(2), pages 426-440.
    7. Subramanian, Nachiappan & Gunasekaran, Angappa & Gao, Yanan, 2016. "Innovative service satisfaction and customer promotion behaviour in the Chinese budget hotel: an empirical study," International Journal of Production Economics, Elsevier, vol. 171(P2), pages 201-210.
    8. 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).
    9. Kotiloglu, S. & Lappas, T. & Pelechrinis, K. & Repoussis, P.P., 2017. "Personalized multi-period tour recommendations," Tourism Management, Elsevier, vol. 62(C), pages 76-88.
    10. Divsalar, A. & Vansteenwegen, P. & Sörensen, K. & Cattrysse, D., 2014. "A memetic algorithm for the orienteering problem with hotel selection," European Journal of Operational Research, Elsevier, vol. 237(1), pages 29-49.
    11. Gunawan, Aldy & Lau, Hoong Chuin & Vansteenwegen, Pieter, 2016. "Orienteering Problem: A survey of recent variants, solution approaches and applications," European Journal of Operational Research, Elsevier, vol. 255(2), pages 315-332.
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