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Gotta (efficiently) catch them all: Pokémon GO meets Orienteering Problems

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  • Álvarez-Miranda, Eduardo
  • Luipersbeck, Martin
  • Sinnl, Markus

Abstract

In this paper, a new routing problem, referred to as the Generalized Clustered Orienteering Problem (GCOP), is studied. The problem is motivated by the mobile phone game Pokémon GO, an augmented reality game for mobile devices holding a record-breaking reception: within the first month of its release, more than 100 million users have installed the game on their devices. The game’s immense popularity has spawned several side businesses, including taxi-tours visiting locations where the game can be played, as well as companies offering to play the game for users during times when they cannot. Further applications arise in typical operative transportation problems that seek for tours that are both time-effective and profitable. Besides the typical traveling distances, in the GCOP we also have prizes or revenues associated with the nodes. Additionally, we are given with K node subsets (clusters) and a budget B for the length of the tour. The optimization task is to find a tour that maximizes the total collected prize while ensuring that (i) at least one node of each cluster is visited, and (ii) the total distance of the tour does not exceed the budget B.

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  • Álvarez-Miranda, Eduardo & Luipersbeck, Martin & Sinnl, Markus, 2018. "Gotta (efficiently) catch them all: Pokémon GO meets Orienteering Problems," European Journal of Operational Research, Elsevier, vol. 265(2), pages 779-794.
  • Handle: RePEc:eee:ejores:v:265:y:2018:i:2:p:779-794
    DOI: 10.1016/j.ejor.2017.08.012
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    1. R Baldacci & E Bartolini & G Laporte, 2010. "Some applications of the generalized vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(7), pages 1072-1077, July.
    2. Bruce L. Golden & Larry Levy & Rakesh Vohra, 1987. "The orienteering problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(3), pages 307-318, June.
    3. Bektaş, Tolga & Gouveia, Luis, 2014. "Requiem for the Miller–Tucker–Zemlin subtour elimination constraints?," European Journal of Operational Research, Elsevier, vol. 236(3), pages 820-832.
    4. Dominique Feillet & Pierre Dejax & Michel Gendreau, 2005. "Traveling Salesman Problems with Profits," Transportation Science, INFORMS, vol. 39(2), pages 188-205, May.
    5. 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.
    6. M. Dell'Amico & F. Maffioli & A. Sciomachen, 1998. "A Lagrangian heuristic for the Prize CollectingTravelling Salesman Problem," Annals of Operations Research, Springer, vol. 81(0), pages 289-306, June.
    7. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    8. Aldy Gunawan & Hoong Chuin Lau & Pieter Vansteenwegen & Kun Lu, 2017. "Well-tuned algorithms for the Team Orienteering Problem with Time Windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(8), pages 861-876, August.
    9. 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.
    10. Matteo Fischetti & Juan José Salazar González & Paolo Toth, 1997. "A Branch-and-Cut Algorithm for the Symmetric Generalized Traveling Salesman Problem," Operations Research, INFORMS, vol. 45(3), pages 378-394, June.
    11. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    12. Avdoshin S.M. & Pesotskaya E.Yu., 2016. "Mobile healthcare: perspectives in Russia," Бизнес-информатика, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», issue 3 (37), pages 38-44.
    13. 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.
    14. Maria Battarra & Güneş Erdoğan & Daniele Vigo, 2014. "Exact Algorithms for the Clustered Vehicle Routing Problem," Operations Research, INFORMS, vol. 62(1), pages 58-71, February.
    15. Hodgson, J. & Laporte, G. & Semet, F., 1996. "A Covering Tour Model for Planning Mobile Health Care Facilities in Suhum District, Ghana," Papers 96-08a, Ecole des Hautes Etudes Commerciales de Montreal-.
    16. Angelelli, E. & Archetti, C. & Vindigni, M., 2014. "The Clustered Orienteering Problem," European Journal of Operational Research, Elsevier, vol. 238(2), pages 404-414.
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