Abstract
The Orienteering problem (OP) can be modelled as a weighted graph with set of vertices where each has a score. The main OP goal is to find a route that maximises the sum of scores, in addition the length of the route not exceeded the given limit. In this paper we present our genetic algorithm (GA) with inserting as well as removing mutation solving the OP. We compare our results with other local search methods such as: the greedy randomised adaptive search procedure (GRASP) (in addition with path relinking (PR)) and the guided local search method (GLS). The computer experiments have been conducted on the large transport network (908 cities in Poland). They indicate that our algorithm gives better results and is significantly faster than the mentioned local search methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Archetti, C., Hertz, A., Speranza, M.G.: Metaheuristics for the team orienteering problem. Journal of Heuristics 13, 49–76
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)
Campos, V., Marti, R.: Grasp with Path Relinking for the Orienteering Problem. Technical Raport, 1–16 (2011)
Fischetti, M., Salazar, J.J., Toth, P.: Solving the Orienteering Problem through Branch-and-Cut. INFORMS Journal on Computing 10, 133–148 (1998)
Gendreau, M., Laporte, G., Semet, F.: A branch-and-cut algorithm for the undirected selective traveling salesman problem. Networks 32(4), 263–273 (1998)
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)
Golden, B., Levy, L., Vohra, R.: The orienteering problem. Naval Research Logistics 34, 307–318 (1987)
Golden, B., Wang, Q., Liu, L.: A multifaceted heuristic for the orienteering problem. Naval Research Logistics 35, 359–366 (1988)
Karbowska-Chilinska, J., Koszelew, J., Ostrowski, K., Zabielski, P.: Genetic algorithm solving orienteering problem in large networks. Frontiers in Artificial Intelligence and Applications 243 (2012)
Ostrowski, K., http://jolantakoszelew.pl/attachments/File/Poland908cities.txt (last access: November 15, 2012)
Ostrowski, K., Koszelew, J.: The comparision of genetic algorithm which solve Orienteering Problem using complete an incomplete graph. Zeszyty Naukowe, Politechnika Bialostocka, Informatyka 8, 61–77 (2011)
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 (LNAI), vol. 6804, pp. 684–694. Springer, Heidelberg (2011)
Schilde, M., Doerner, K., Hartl, R., Kiechle, G.: Metaheuristics for the bi-objective orienteering problem. Swarm Intelligence 3, 179–201 (2009)
Sevkli, Z., Sevilgen, E.: Discrete particle swarm optimization for the orienteering Problem. In: IEEE Congress (2010)
Souffriau, W.: Automated Tourist Decision Support, PhD Thesis, Katholieke Universiteit Leuven (2010)
Souffriau, W., Vansteenwegen, P.: Tourist trip planning functionalities: state–of–the–art and future. In: Daniel, F., Facca, F.M. (eds.) ICWE 2010. LNCS, vol. 6385, pp. 474–485. Springer, Heidelberg (2010)
Souffriau, W., Vansteenwegen, P., Vanden Berghe, G., Van Oudheusden, D.: A path relinking approach for the team orienteering problem. Computers & Operational Research 37, 1853–1859 (2010)
Tang, H., Miller-Hooks, E.: A tabu search heuristic for the team orienteering problem. Comput. Oper. Res. 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., Smith, A.E.: A genetic algorithm for the orienteering problem. In: Proceedings of the 2000 Congress on Evolutionary Computation, San Diego, vol. 2, pp. 1190–1195 (2000)
Vansteenwegen, P., Souffriau, W., Vanden Berghe, G., 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., Vanden Berghe, G., Van Oudheusden, D.: Iterated local search for the team orienteering problem with time windows. Computers O.R. 36, 3281–3290 (2009)
Vansteenwegen, P., Souffriau, W., Vanden Berghe, G., 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., Vanden Berghe, G., Van Oudheusden, D.: Metaheuristics for tourist trip planning. LNEMS, vol. 624, pp. 15–31 (2009)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Karbowska-Chilińska, J., Zabielski, P. (2013). A Genetic Algorithm vs. Local Search Methods for Solving the Orienteering Problem in Large Networks. In: Graña, M., Toro, C., Howlett, R.J., Jain, L.C. (eds) Knowledge Engineering, Machine Learning and Lattice Computing with Applications. KES 2012. Lecture Notes in Computer Science(), vol 7828. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37343-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-37343-5_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37342-8
Online ISBN: 978-3-642-37343-5
eBook Packages: Computer ScienceComputer Science (R0)