Abstract
In the Orienteering Problem (OP), a set of linked vertices, each with a score, is given. The objective is to find a route, limited in length, over a subset of vertices that maximises the collective score of the visited vertices. In this paper, we present a new, efficient genetic algorithm (nGA) that solves the OP. We use a special grouping during selection, which results in better-adapted routes in the population. Furthermore, we apply a searching crossover to each generation, which uses the common vertices between distinct routes in the population; we also apply a searching mutation. Computer experiments on the nGA are conducted on popular data sets. In some cases, the nGA yields better results than well-known heuristics.
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References
Archetti, C., Hertz, A., Speranza, M.: Metaheuristics for team orienteering problem. Journal of Heuristics 13, 49–76 (2007)
Balas, E.: The prize collecting traveling salesman problem. Networks 19, 797–809 (1989)
Chao, I.M., Golden, B.L., Wasil, E.A.: A fast and effective heuristic for the orienteering. European Journal of Operational Research 88, 475–489 (1996)
Fischetti, M., Salazar, J.J., Toth, P.: Solving the orienteering problem through branch-and-cut. INFORMS Journal on Computing 10, 133–148 (1998)
Feillet, D., Dejax, P., Gendreau, M.: Traveling Salesman Problems With Profits: An Overview. Transportation Science 38, 188–205 (2001)
Garcia, A., Arbelaitz, O., Vansteenwegen, P., Souffriau, W., Linaza, M.T.: Hybrid approach for the public transportation time dependent orienteering problem with time windows. In: Corchado, E., Graña Romay, M., Manhaes Savio, A. (eds.) HAIS 2010, Part II. LNCS, vol. 6077, pp. 151–158. Springer, Heidelberg (2010)
Gendreau, M., Laporte, G., Semet, F.: A branch-and-cut algorithm for the undirected selective traveling salesman problem. Networks 32(4), 263–273 (1998)
Jaen, J., Mocholi, J.A., Catala, A.: Digital ants as the best cicerones for museum visitors. Applied Soft Computing 11, 111–119 (2011)
Laporte, G., Martello, S.: The selective travelling salesman problem. Discrete Applied Matheuristics 26, 193–207 (1990)
Karbowska-Chilinska, J., Koszelew, J., Ostrowski, K., Zabielski, P.: Genetic algorithm solving orienteering problem in large networks. Frontiers in Artificial Intelligence and Applications 243, 28–38 (2012)
Kataoka, S., Morito, S.: An algorithm for single constraint maximum collection problem. Journal of the Operations Research Society of Japan 31(4), 515–31 (1988)
Piwońska, A., Koszelew, J.: A memetic algorithm for a tour planning in the selective travelling salesman problem on a road network. In: Kryszkiewicz, M., Rybinski, H., Skowron, A., Raś, Z.W. (eds.) ISMIS 2011. LNCS, vol. 6804, pp. 684–694. Springer, Heidelberg (2011)
Sevkli, Z., Sevilgen, E.: Discrete particle swarm optimization for the orienteering Problem. In: Evolutionary Computation (CEC) IEEE Congress, pp. 1–8 (2010)
Tang, H., Miller-Hooks, E.: A tabu search heuristic for the team orienteering problem. Computers & Operational Research 32(6), 1379–1407 (2005)
Tsiligirides, T.: Heuristic methods applied to orienteering. Journal of the Operational Research Society 35(9), 797–809 (1984)
Tasgetiren, M.F.: A genetic algorithm with an adaptive penalty function for the orienteering problem. Journal of Economic and Social Research 4(2), 20–40 (2002)
Vansteenwegen, P., Souffriau, W., Van Oudheusden, D.: A guided local search metaheuristic for the team orienteering problem. European Journal of Operational Research. 196, 118–127 (2009)
Vansteenwegen, P., Souffriau, W., Van Oudheusden, D.: Iterated local search for the team orienteering problem with time windows. Computers & Operational Research 36, 3281–3290 (2009)
Vansteenwegen, P., Souffriau, W., Van Oudheusden, D.: The City Trip Planner: An expert system for tourists. Expert Systems with Applications 38(6), 6540–6546 (2011)
Vansteenwegen, P., Souffriau, W., Van Oudheusden, D.: The Orienteering Problem: A survey. European Journal of Operational Research 209(1), 1–10 (2011)
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Zabielski, P., Karbowska-Chilinska, J., Koszelew, J., Ostrowski, K. (2015). A Genetic Algorithm with Grouping Selection and Searching Operators for the Orienteering Problem. In: Nguyen, N., Trawiński, B., Kosala, R. (eds) Intelligent Information and Database Systems. ACIIDS 2015. Lecture Notes in Computer Science(), vol 9012. Springer, Cham. https://doi.org/10.1007/978-3-319-15705-4_4
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DOI: https://doi.org/10.1007/978-3-319-15705-4_4
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