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The planning of cycle trips in the province of East Flanders

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  • Souffriau, Wouter
  • Vansteenwegen, Pieter
  • Vanden Berghe, Greet
  • Van Oudheusden, Dirk

Abstract

Traditional route planners assist in finding the shortest or fastest route from one place to another. This paper presents a novel approach to path finding in a directed graph, namely a target distance, motivated by the problem that a recreational cyclist deals with when searching a nice route of a certain length. The problem is defined as a variant of the arc orienteering problem (AOP), a new combinatorial optimisation problem in which the score of a route in a directed graph has to be maximised by visiting arcs, while each arc can be visited at most once and the total cost of the route should not exceed a predefined cost. The contribution of this paper is threefold: (1) a mathematical model of the AOP is provided, (2) a metaheuristic method that solves AOP instances to near optimality in 1 s of execution time, is proposed and evaluated, and (3) two real-life applications of the method are presented. An on-line cycle route planning application offers personalised cycle routes based on user preferences, and an SMS service provides cyclists "in the field" with routes on demand.

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  • Souffriau, Wouter & Vansteenwegen, Pieter & Vanden Berghe, Greet & Van Oudheusden, Dirk, 2011. "The planning of cycle trips in the province of East Flanders," Omega, Elsevier, vol. 39(2), pages 209-213, April.
    • Handle: RePEc:eee:jomega:v:39:y:2011:i:2:p:209-213
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    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. Ferreira, Reinaldo & Móra, Vasco & Mourão, Maria Cândida & Moz, Margarida & Pinto, Leonor S. & Ribeiro, João, 2022. "Arc Routing for Parking Enforcement Officers: Exact and heuristic solutions," European Journal of Operational Research, Elsevier, vol. 299(1), pages 283-301.
    7. Verbeeck, C. & Vansteenwegen, P. & Aghezzaf, E.-H., 2016. "Solving the stochastic time-dependent orienteering problem with time windows," European Journal of Operational Research, Elsevier, vol. 255(3), pages 699-718.
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    9. Wolfgang Wörndl & Alexander Hefele & Daniel Herzog, 2017. "Recommending a sequence of interesting places for tourist trips," Information Technology & Tourism, Springer, vol. 17(1), pages 31-54, March.
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    13. 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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