Abstract
In this paper, another version of the vehicle routing problem (VRP)—the open vehicle routing problem (OVRP) is studied, in which the vehicles are not required to return to the depot, but if they do, it must be by revisiting the customers assigned to them in the reverse order. By exploiting the special structure of this type of problem, we present a new tabu search heuristic for finding the routes that minimize two objectives while satisfying three constraints. The computational results are provided and compared with two other methods in the literature.
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References
Schrage L (1981). Formulation and structure of more complex/realistic routing and scheduling problems. Networks 11: 229–232.
Sariklis D and Powell S (2000). A heuristic method for the open vehicle routing problem. J Opl Res Soc 51: 564–573.
Brandão J (2004). A tabu search algorithm for the open vehicle routing problem. Eur J Opl Res 157: 552–564.
Fu Z and Wright M (1994). Train plan model for British Rail freight services through the Channel Tunnel. J Opl Res Soc 45: 384–391.
Li LYO and Fu Z (2002). The school bus routing problem: a case study. J Opl Res Soc 53: 552–558.
Syslo MM, Deo N and Kowalik JS (1983). Discrete Optimization Algorithms with Pascal Programs. Prentice-Hall, Inc.: Englewood Cliffs, NJ.
Glover F and Laguna M (1993). Tabu search. In: Reeves C (eds). Modern Heuristic Techniques for Combinatorial Problems. Blackwell Scientific Publications, Oxford, pp 70–141.
Gendreau M, Laporte G and Potvin J-Y (2002). Metaheuristics for the Capacitated VRP. In: Toth P and Vigo D (eds). The Vehicle Routing Problem. SIAM Monographs on Discrete Mathematics and Applications. SIAM, Philadelphia, PA, pp 129–154.
Cordeau J-F00, Gendreau M, Laporte G, Potvin J-Y and Semet F (2002). A guide to vehicle routing heuristics. J Opl Res Soc 53: 512–522.
Van Breedam A (2001). Comparing descent heuristics and metaheuristics for the vehicle routing problem. Comput Opns Res 28: 289–315.
Lawler EL (1972). A procedure for computing the K best solutions to discrete optimization problems and its application to the shortest path problem. Mngt Sci 18: 401–405.
Li LYO and Eglese R (1996). An interactive algorithm for vehicle routeing for winter-gritting. J Opl Res Soc 47: 217–228.
Pureza VM and França PM (1991). Vehicle routing problems via tabu search metaheuristic. Technical Report CRT-347, Centre for Research on Transportation, Montreal, Canada.
Osman LH (1993). Metastrategy simulated annealing and tabu search algorithms for the vehicle routing problem. Ann of Opns Res 41: 421–451.
Gendreau M, Hertz A and Laporte G (1994). A tabu search heuristic for the vehicle routing problem. Mngt Sci 40: 1276–1290.
Taillard E, Badeau P, Gendreau M, Guertin F and Potvin JY (1997). A tabu search heuristic for the vehicle routing problem with soft time windows. Transp Sci 31: 170–186.
Duhamel C, Potvin JY and Rousseau JM (1997). A tabu search heuristic for the vehicle routing problem with backhauls and time windows. Transp Sci 31: 49–59.
Cordeau J-F, Laporte G and Mercier A (2001). A unified tabu search heuristic for vehicle routing problems with time windows. J Opl Res Soc 52: 928–936.
Christofides N, Mingozzi A and Toth P (1979). The vehicle routing problem. In: Christofides N et al (eds). Combinatorial Optimization. Wiley, London, pp 315–338.
Fisher ML (1994). Optimal solution of vehicle routing problems using minimum k-trees. Opns Res 42: 626–642.
Acknowledgements
This research was supported by National Natural Science Foundation of China (NSFC, 70071003) and China Scholarship Council. We were also grateful to José Brandão and the two anonymous referees whose comments helped us to improve the presentation of this paper.
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Fu, Z., Eglese, R. & Li, L. A new tabu search heuristic for the open vehicle routing problem. J Oper Res Soc 56, 267–274 (2005). https://doi.org/10.1057/palgrave.jors.2601817
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DOI: https://doi.org/10.1057/palgrave.jors.2601817