Abstract
This paper presents a hybrid scatter search algorithm to solve the capacitated arc routing problem with refill points (CARP-RP). The vehicle servicing arcs must be refilled on the spot by using a second vehicle. This problem is addressed in real-world applications in many services systems. The problem consists on simultaneously determining the vehicles routes that minimize the total cost. In the literature is proposed an integer linear programming model to solve the problem. We propose a hybrid algorithm based on Scatter Search, Simulated Annealing and Iterated Local Search. Our method is tested with instances from the literature. We found best results in the objective function for the majority instances.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Assad, A.A., Golden, B.L.: Arc routing methods and applications. In: Handbooks in Operations Research and Management Science, pp. 375–483. Elsevier (1995)
Golden, B.L., Wong, R.T.: Capacitated arc routing problems. Networks 11, 305–315 (1981)
Wøhlk, S.: A decade of capacitated arc routing. In: Golden, B., Raghavan, S., Wasil, E. (eds.) The Vehicle Routing Problem: Latest Advances and New Challenges. Operations Research/Computer Science Interfaces Series, vol. 43, pp. 29–48. Springer, Heidelberg (2008)
Belenguer, J.-M., Benavent, E., Lacomme, P., Prins, C.: Lower and upper bounds for the mixed capacitated arc routing problem. Comput. Oper. Res. 33, 3363–3383 (2006)
Lacomme, P., Prins, C., Sevaux, M.: Multiobjective capacitated arc routing problem. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Deb, K., Thiele, L. (eds.) EMO 2003. LNCS, vol. 2632, pp. 550–564. Springer, Heidelberg (2003)
Lacomme, P., Prins, C., Sevaux, M.: A genetic algorithm for a bi-objective capacitated arc routing problem. Comput. Oper. Res. 33, 3473–3493 (2006)
Reghioui, M., Prins, C., Labadi, N.: GRASP with path relinking for the capacitated arc routing problem with time windows. In: Giacobini, M. (ed.) EvoWorkshops 2007. LNCS, vol. 4448, pp. 722–731. Springer, Heidelberg (2007)
Chu, F., Labadi, N., Prins, C.: A scatter search for the periodic capacitated arc routing problem. Eur. J. Oper. Res. 169, 586–605 (2006)
Fleury, G., Lacomme, P., Prins, C.: Stochastic Capacitated Arc Routing Problem (2005)
Pia, A., Filippi, C.: A variable neighborhood descent algorithm for a real waste collection problem with mobile depots. Int. Trans. Oper. Res. 13, 125–141 (2006)
Amaya, A., Langevin, A., Trépanier, M.: The capacitated arc routing problem with refill points. Oper. Res. Lett. 35, 45–53 (2007)
Amaya, C.-A., Langevin, A., Trépanier, M.: A heuristic method for the capacitated arc routing problem with refill points and multiple loads. J. Oper. Res. Soc. 61, 1095–1103 (2010)
Shan, H.U., Dan, L.I.N.: Algorithms for solving CARP-RP-ML problem. Comput. Eng. 38, 168–170 (2012)
Hirabayashi, R., Saruwatari, Y., Nishida, N.: Tour construction algorithm for the capacitated arc routing problem. Asia Pac. J. Oper. Res. 9, 155–175 (1992)
Belenguer, J.M., Benavent, E.: A cutting plane algorithm for the capacitated arc routing problem. Comput. Oper. Res. 30, 705–728 (2003)
Baldacci, R., Maniezzo, V.: Exact methods based on node-routing formulations for undirected arc-routing problems. Networks 47, 52–60 (2006)
Longo, H., de Aragão, P.M., Uchoa, E.: Solving capacitated arc routing problems using a transformation to the CVRP. Comput. Oper. Res. 33, 1823–1837 (2006)
Tagmouti, M., Gendreau, M., Potvin, J.-Y.: Arc routing problems with time-dependent service costs. Eur. J. Oper. Res. 181, 30–39 (2007)
Eglese, R.W.: Routeing winter gritting vehicles. Discret. Appl. Math. 48, 231–244 (1994)
Hertz, A., Mittaz, M.: A variable neighborhood descent algorithm for the undirected capacitated arc routing problem. Transp. Sci. 35, 425–434 (2001)
Hertz, A., Laporte, G., Mittaz, M.: A tabu search heuristic for the capacitated arc routing problem. Oper. Res. 48, 129–135 (2000)
Fung, R.Y.K., Liu, R., Jiang, Z.: A memetic algorithm for the open capacitated arc routing problem. Transp. Res. Part E: Logist. Transp. Rev. 50, 53–67 (2013)
Liu, M., Singh, H.K., Ray, T.: Application specific instance generator and a memetic algorithm for capacitated arc routing problems. Transp. Res. Part C: Emerg. Technol. 43, 249–266 (2014)
Wang, Z., Jin, H., Tian, M.: Rank-based memetic algorithm for capacitated arc routing problems. Appl. Soft Comput. 37, 572–584 (2015)
Beullens, P., Muyldermans, L., Cattrysse, D., Van Oudheusden, D.: A guided local search heuristic for the capacitated arc routing problem. Eur. J. Oper. Res. 147, 629–643 (2003)
Glover, F.: Heuristics for integer programming using surrogate constraints. Decis. Sci. 8, 156–166 (1977)
Rego, C., Leão, P.: A scatter search tutorial for graph-based permutation problems. In: Sharda, R., Voß, S., Rego, C., Alidaee, B. (eds.) Metaheuristic Optimization via Memory and Evolution. Operations Research/Computer Science Interfaces Series, vol. 30, pp. 1–24. Kluwer Academic Publishers, Boston (2005)
Russell, R.A., Chiang, W.-C.: Scatter search for the vehicle routing problem with time windows. Eur. J. Oper. Res. 169, 606–622 (2006)
Laguna, M., Martí, R., Martí, R.C.: Scatter Search: Methodology and Implementations in C. Operations Research/Computer Science Interfaces Series, vol. 1. Springer Science & Business Media, New York (2003)
Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms, and Applications. Prentice Hall, Upper Saddle River (1993)
Benavent, E., Campos, V., Corberan, A., Mota, E.: The capacitated arc routing problem: lower bounds. Networks 22, 669–690 (1992)
Acknowledgements
This work was supported in part by the Centro de Investigaciones y Desarrollo Científico at Universidad Distrital Francisco José de Caldas (Colombia) under Grant No. 2-602-468-14.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
López-Santana, E.R., Méndez-Giraldo, G.A., Franco-Franco, C.A. (2016). A Hybrid Scatter Search Algorithm to Solve the Capacitated Arc Routing Problem with Refill Points. In: Huang, DS., Jo, KH. (eds) Intelligent Computing Theories and Application. ICIC 2016. Lecture Notes in Computer Science(), vol 9772. Springer, Cham. https://doi.org/10.1007/978-3-319-42294-7_1
Download citation
DOI: https://doi.org/10.1007/978-3-319-42294-7_1
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42293-0
Online ISBN: 978-3-319-42294-7
eBook Packages: Computer ScienceComputer Science (R0)