Summary
In the classical Vehicle Routing Problem (VRP) a fleet of capacitated vehicles is available to serve a set of customers with known demand. Each customer is required to be visited by exactly one vehicle and the objective is to minimize the total distance traveled. In the Split Delivery Vehicle Routing Problem (SDVRP) the restriction that each customer has to be visited exactly once is removed, i.e., split deliveries are allowed. In this chapter we present a survey of the state-of-the-art on the SDVRP.
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References
C. Archetti, A. Hertz, M.G. Speranza. A tabu search algorithm for the split delivery vehicle routing problem.Transportation Science, 40: 64-73, 2006.
C. Archetti, R. Mansini, M.G. Speranza. Complexity and reducibility of the skip delivery problem.Transportation Science, 39: 182-187, 2005.
C. Archetti, M.W.P. Savelsbergh, M.G. Speranza. Worst-case analysis for split delivery vehicle routing problems.Transportation Science, 40: 226-234, 2006.
C. Archetti, M.W.P. Savelsbergh, M.G. Speranza. To split or not to split: That is the question. To appear inTransportation Research E.
C. Archetti, M.W.P. Savelsbergh, M.G. Speranza. An optimization-based heuristic for the split delivery vehicle routing problem. To appear inTransportation Science.
C. Archetti, M.G. Speranza. Vehicle routing in the 1-skip collection problem.Journal of the Operational Research Society, 55: 717-727, 2004.
M. Ball, L. Bodin, R. Baldacci, A. Mingozzi. The rollon-rolloff vehicle routing problem.Transportation Science, 34: 271-288, 2000.
J.M. Belenguer, M.C. Martinez, E. Mota. A lower bound for the split delivery vehicle routing problem.Operations Research, 48: 801-810, 2000.
S. Chen, B. Golden, E. Wasil. The split delivery vehicle routing problem: Applications, test problems, and computational results.Networks, 49: 318-329, 2007.
L. De Meulemeester, G. Laporte, F.V. Louveaux, F. Semet. Optimal sequencing of skip collections and deliveries.Journal of the Operational Research Society, 48: 57-64, 1997.
M. Dror, L. Levy. A vehicle routing improvement algorithm: comparison of a ‘‘greedy’’ and a matching implementation for inventory routing.Computers & Operations Research, 13: 33–45, 1986.
M. Dror, G. Laporte, P. Trudeau. Vehicle routing with split deliveries.Discrete Applied Mathematics, 50: 239-254, 1994.
M. Dror, P. Trudeau. Savings by split delivery routing.Transportation Science, 23: 141-145, 1989.
M. Dror, P. Trudeau. Split delivery routing.Naval Research Logistics, 37: 383-402, 1990.
D. Feillet, P. Dejax, M. Gendreau, C. Gueguen. An exact algorithm for the elementary shortest path problem with resource constraints: application to some vehicle routing problems.Networks, 44: 216–229, 2004.
P.W. Frizzell, J.W. Giffin. The split delivery vehicle scheduling problem with time windows and grid network distances.Computers & Operations Research, 22: 655-667, 1995.
M. Gendreau, P. Dejax, D. Feillet, C. Gueguen. Vehicle routing with time windows and split deliveries. Working paper.
M. Gendreau, A. Hertz, G. Laporte. New insertion and postoptimization procedures for the traveling salesman problem.Operations Research, 40: 1086–1094, 1992.
C. Gueguen.Méthodes de résolution exacte pour les problèmes de tournées de véhicules. PhD thesis, École Centrale Paris, 1999.
M. Jin, K. Liu, R.O. Bowden. A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem.International Journal of Production Economics, 105: 228–242, 2007.
C.G. Lee, M.A. Epelman, C.C. White III, Y.A. Bozer. A shortest path approach to the multiple-vehicle routing problem with split pick-ups.Transportation Research B, 40: 265–284, 2006.
S. Lin. Computer solutions of the traveling salesman problem.Bell System Technical Journal, 44: 2245–2269, 1965.
K. LiuA study on the split delivery vehicle routing problem. PhD thesis, Mississippi State University, 2005.
E. Mota, V. Campos, A. Corbéran. A new metaheuristic for the vehicle routing problem with split demands. Working paper.
P.A. Mullaseril, M. Dror, J. Leung. Split-delivery routing in livestock feed distribution.Journal of the Operational Research Society, 48: 107-116, 1997.
M.A. Nowak.The pickup and delivery problem with split loads. PhD thesis, Georgia Institute of Technology, 2005.
G. Sierksma, G.A. Tijssen. Routing helicopters for crew exchanges on off-shore locations.Annals of Operations Research, 76: 261-286, 1998.
P. Toth, D. Vigo. The granular tabu search and its application to the vehicle-routing problem.INFORMS Journal on Computing, 15: 333-346, 2003.
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Archetti, C., Speranza, M.G. (2008). The Split Delivery Vehicle Routing Problem: A Survey. In: Golden, B., Raghavan, S., Wasil, E. (eds) The Vehicle Routing Problem: Latest Advances and New Challenges. Operations Research/Computer Science Interfaces, vol 43. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-77778-8_5
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DOI: https://doi.org/10.1007/978-0-387-77778-8_5
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