Abstract
This paper presents an integer programming model and describes a GRASP based algorithm to solve a vehicle routing and scheduling problem for the collection of Waste of Electric and Electronic Equipment (WEEE). The difficulty of this problem arises from the fact that it is characterized by four variants of the vehicle routing problem that have been studied independently in the literature, but not together. The experimental analysis on a large set of randomly-generated instances shows the good performance of the proposed algorithm. Moreover, computational results using real data show that the method outperforms real existing approaches to reverse logistics.
Similar content being viewed by others
References
Aleman, R.A., Zhang, X., Hill, R.R.: An adaptive memory algorithm for the split delivery vehicle routing problem. J. Heuristics 16, 441–473 (2010)
Alonso, F., Alvarez, M.J., Beasley, J.E.: A tabu search algorithm for the periodic vehicle routing problem with multiple vehicle trips and accessibility restrictions. J. Oper. Res. Soc. 59, 963–976 (2007)
Álvarez, A., Pacheco, J., Angel-Bello, F., Garcia, I.: Un problema de distribución de productos alimenticios con flexibilidad en la fecha de entrega. In: VI Congreso de Metaheuristicos, Algoritmos Evolutivos y Bioinspirados, Spain (2009)
Battarra, M., Monaci, M., Vigo, D.: An adaptive guidance approach for the heuristic solution of a minimum multiple trip vehicle routing problem. Comput. Oper. Res. 36, 3041–3050 (2009)
Belfiore, P., Yoshida-Yoshizaki, H.T.: Scatter search for a real-life heterogeneous fleet vehicle routing problem with time windows and split deliveries in Brazil. Eur. J. Oper. Res. 199, 750–758 (2008)
Beullens, P., Van Wassenhove, L., Van Oudheusden, D.: Collection and vehicle routing issues in reverse logistics. In: Dekker, Fleischmann, Inderfurth, Van Wassenhove (eds.) Reverse Logistics, Quantitative Models for Closed-Loop Supply Chains 2004, pp. 275–291. Springer, Dordrecht (2004)
Blanc, I., Van Krieken, M., Krikke, H., Fleuren, H.: Vehicle routing concepts in the closed-loop container network of ARN—a case study. OR Spektrum 28, 53–71 (2006)
Brandão, J., Mercer, A.: The multi-trip vehicle routing problem. J. Oper. Res. Soc. 49, 799–805 (1998)
Dror, M., Trudeau, P.: Savings by split delivery routing. Transp. Sci. 23, 141–145 (1989)
Eksioglu, B., Volkan-Vural, A., Reisman, A.: The vehicle routing problem: a taxonomic review. Comput. Ind. Eng. 57, 1472–1483 (2009)
European Parliament the Council and the Commission: Directive 2002/96/EC of 27 January 2003 on waste electrical and electronic equipment (WEEE). Off. J. Eur. Union L37, 24–39 (2003). http://www2.uca.es/grup-invest/cit/Union%20Europea_archivos/WEEE_ingles.pdf. Accessed 15 January 2009
Feo, T.A., Resende, M.G.C.: A probabilistic heuristic for a computationally difficult set covering problem. Oper. Res. Lett. 8, 67–71 (1989)
Feo, T.A., Resende, M.G.C.: Greedy randomized adaptive search procedures. J. Glob. Optim. 6, 109–133 (1995)
Golden, B.L., Assad, A., Levy, L., Gheysens, F.: The fleet size and mix vehicle routing problem. Comput. Oper. Res. 11, 49–65 (1984)
González, B., Adenso-Díaz, B.: A scatter search approach to the optimum disassembly sequence problem. Comput. Oper. Res. 33, 1776–1793 (2006)
Imran, A., Salhi, S., Wassan, N.: A variable neighborhood-based heuristic for the heterogeneous fleet vehicle routing problem. Eur. J. Oper. Res. 197, 509–518 (2009)
Kim, H., Jaehwan, J., Lee, K.D.: Vehicle routing in reverse logistics for recycling end-of-life consumer electronic goods in South Korea. Transp. Res. D 14, 291–299 (2009)
Mar-Ortiz, J., Adenso-Díaz, B., González-Velarde, J.L.: Design of a recovery network for WEEE collection: the case of Galicia, Spain. J. Oper. Res. Soc. (2010). doi:10.1057/jors.2010.114
Mitra, S.: A parallel clustering technique for the vehicle routing problem with split deliveries and pickups. J. Oper. Res. Soc. 59, 1532–1546 (2008)
Nag, B., Golden, B.L., Assad, A.: Vehicle routing with site dependencies. In: Golden, B.L., Assad, A. (eds.) Vehicle Routing: Methods and Studies. Studies in Management Science and Systems, vol. 16, pp. 149–159. North-Holland, Amsterdam (1988)
Schultmann, F., Zumkeller, M., Rentz, O.: Modeling reverse logistic tasks within closed-loop supply chains: An example from the automotive industry. Eur. J. Oper. Res. 171, 1033–1050 (2006)
Taillard, E.: Parallel iterative search methods for vehicle routing problems. Networks 23, 661–673 (1993)
Taillard, E., Laporte, G., Gendreau, M.: Vehicle routing problem with multiple use of vehicles. J. Oper. Res. Soc. 47, 1065–1070 (1996)
Author information
Authors and Affiliations
Corresponding author
Electronic Supplementary Material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
Mar-Ortiz, J., González-Velarde, J.L. & Adenso-Díaz, B. Designing routes for WEEE collection: the vehicle routing problem with split loads and date windows. J Heuristics 19, 103–127 (2013). https://doi.org/10.1007/s10732-011-9159-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10732-011-9159-1