参考文献:1.Assad, A.A., Golden, B.L.: Arc routing methods and applications. In: Handbooks in Operations Research and Management Science, pp. 375–483. Elsevier (1995) 2.Golden, B.L., Wong, R.T.: Capacitated arc routing problems. Networks 11, 305–315 (1981)MathSciNet CrossRef MATH 3.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)CrossRef 4.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)MathSciNet CrossRef MATH 5.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)CrossRef 6.Lacomme, P., Prins, C., Sevaux, M.: A genetic algorithm for a bi-objective capacitated arc routing problem. Comput. Oper. Res. 33, 3473–3493 (2006)CrossRef MATH 7.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) 8.Chu, F., Labadi, N., Prins, C.: A scatter search for the periodic capacitated arc routing problem. Eur. J. Oper. Res. 169, 586–605 (2006)MathSciNet CrossRef MATH 9.Fleury, G., Lacomme, P., Prins, C.: Stochastic Capacitated Arc Routing Problem (2005) 10.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)CrossRef MATH 11.Amaya, A., Langevin, A., Trépanier, M.: The capacitated arc routing problem with refill points. Oper. Res. Lett. 35, 45–53 (2007)MathSciNet CrossRef MATH 12.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)CrossRef MATH 13.Shan, H.U., Dan, L.I.N.: Algorithms for solving CARP-RP-ML problem. Comput. Eng. 38, 168–170 (2012) 14.Hirabayashi, R., Saruwatari, Y., Nishida, N.: Tour construction algorithm for the capacitated arc routing problem. Asia Pac. J. Oper. Res. 9, 155–175 (1992)MathSciNet MATH 15.Belenguer, J.M., Benavent, E.: A cutting plane algorithm for the capacitated arc routing problem. Comput. Oper. Res. 30, 705–728 (2003)MathSciNet CrossRef MATH 16.Baldacci, R., Maniezzo, V.: Exact methods based on node-routing formulations for undirected arc-routing problems. Networks 47, 52–60 (2006)MathSciNet CrossRef MATH 17.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)CrossRef MATH 18.Tagmouti, M., Gendreau, M., Potvin, J.-Y.: Arc routing problems with time-dependent service costs. Eur. J. Oper. Res. 181, 30–39 (2007)MathSciNet CrossRef MATH 19.Eglese, R.W.: Routeing winter gritting vehicles. Discret. Appl. Math. 48, 231–244 (1994)CrossRef MATH 20.Hertz, A., Mittaz, M.: A variable neighborhood descent algorithm for the undirected capacitated arc routing problem. Transp. Sci. 35, 425–434 (2001)CrossRef MATH 21.Hertz, A., Laporte, G., Mittaz, M.: A tabu search heuristic for the capacitated arc routing problem. Oper. Res. 48, 129–135 (2000)MathSciNet CrossRef MATH 22.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)CrossRef 23.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)CrossRef 24.Wang, Z., Jin, H., Tian, M.: Rank-based memetic algorithm for capacitated arc routing problems. Appl. Soft Comput. 37, 572–584 (2015)CrossRef 25.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)MathSciNet CrossRef MATH 26.Glover, F.: Heuristics for integer programming using surrogate constraints. Decis. Sci. 8, 156–166 (1977)CrossRef 27.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)CrossRef 28.Russell, R.A., Chiang, W.-C.: Scatter search for the vehicle routing problem with time windows. Eur. J. Oper. Res. 169, 606–622 (2006)MathSciNet CrossRef MATH 29.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)CrossRef MATH 30.Ahuja, R.K., Magnanti, T.L., Orlin, J.B.: Network Flows: Theory, Algorithms, and Applications. Prentice Hall, Upper Saddle River (1993)MATH 31.Benavent, E., Campos, V., Corberan, A., Mota, E.: The capacitated arc routing problem: lower bounds. Networks 22, 669–690 (1992)MathSciNet CrossRef MATH
作者单位:Eduyn Ramiro López-Santana (15) Germán Andrés Méndez-Giraldo (15) Carlos Alberto Franco-Franco (16)
15. Universidad Distrital Francisco José de Caldas, Bogotá, Colombia 16. Universidad de la Sabana, Chía, Cundinamarca, Colombia
丛书名:Intelligent Computing Theories and Application
ISBN:978-3-319-42294-7
刊物类别:Computer Science
刊物主题:Artificial Intelligence and Robotics Computer Communication Networks Software Engineering Data Encryption Database Management Computation by Abstract Devices Algorithm Analysis and Problem Complexity
出版者:Springer Berlin / Heidelberg
ISSN:1611-3349
卷排序:9772
文摘
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.