The Split Delivery Vehicle Routing Problem: A Survey

Part of the Operations Research/Computer Science Interfaces book series (ORCS, volume 43)


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.

Key words

Split Delivery Vehicle Routing Problem Survey Computational Complexity Algorithms 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    C. Archetti, A. Hertz, M.G. Speranza. A tabu search algorithm for the split delivery vehicle routing problem.Transportation Science, 40: 64-73, 2006.CrossRefGoogle Scholar
  2. 2.
    C. Archetti, R. Mansini, M.G. Speranza. Complexity and reducibility of the skip delivery problem.Transportation Science, 39: 182-187, 2005.CrossRefGoogle Scholar
  3. 3.
    C. Archetti, M.W.P. Savelsbergh, M.G. Speranza. Worst-case analysis for split delivery vehicle routing problems.Transportation Science, 40: 226-234, 2006.CrossRefGoogle Scholar
  4. 4.
    C. Archetti, M.W.P. Savelsbergh, M.G. Speranza. To split or not to split: That is the question. To appear inTransportation Research E.Google Scholar
  5. 5.
    C. Archetti, M.W.P. Savelsbergh, M.G. Speranza. An optimization-based heuristic for the split delivery vehicle routing problem. To appear inTransportation Science.Google Scholar
  6. 6.
    C. Archetti, M.G. Speranza. Vehicle routing in the 1-skip collection problem.Journal of the Operational Research Society, 55: 717-727, 2004.CrossRefGoogle Scholar
  7. 7.
    M. Ball, L. Bodin, R. Baldacci, A. Mingozzi. The rollon-rolloff vehicle routing problem.Transportation Science, 34: 271-288, 2000.CrossRefGoogle Scholar
  8. 8.
    J.M. Belenguer, M.C. Martinez, E. Mota. A lower bound for the split delivery vehicle routing problem.Operations Research, 48: 801-810, 2000.CrossRefGoogle Scholar
  9. 9.
    S. Chen, B. Golden, E. Wasil. The split delivery vehicle routing problem: Applications, test problems, and computational results.Networks, 49: 318-329, 2007.CrossRefGoogle Scholar
  10. 10.
    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.CrossRefGoogle Scholar
  11. 11.
    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.CrossRefGoogle Scholar
  12. 12.
    M. Dror, G. Laporte, P. Trudeau. Vehicle routing with split deliveries.Discrete Applied Mathematics, 50: 239-254, 1994.CrossRefGoogle Scholar
  13. 13.
    M. Dror, P. Trudeau. Savings by split delivery routing.Transportation Science, 23: 141-145, 1989.CrossRefGoogle Scholar
  14. 14.
    M. Dror, P. Trudeau. Split delivery routing.Naval Research Logistics, 37: 383-402, 1990.Google Scholar
  15. 15.
    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.CrossRefGoogle Scholar
  16. 16.
    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.CrossRefGoogle Scholar
  17. 17.
    M. Gendreau, P. Dejax, D. Feillet, C. Gueguen. Vehicle routing with time windows and split deliveries. Working paper.Google Scholar
  18. 18.
    M. Gendreau, A. Hertz, G. Laporte. New insertion and postoptimization procedures for the traveling salesman problem.Operations Research, 40: 1086–1094, 1992.Google Scholar
  19. 19.
    C. Gueguen.Méthodes de résolution exacte pour les problèmes de tournées de véhicules. PhD thesis, École Centrale Paris, 1999.Google Scholar
  20. 20.
    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.CrossRefGoogle Scholar
  21. 21.
    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.CrossRefGoogle Scholar
  22. 22.
    S. Lin. Computer solutions of the traveling salesman problem.Bell System Technical Journal, 44: 2245–2269, 1965.Google Scholar
  23. 23.
    K. LiuA study on the split delivery vehicle routing problem. PhD thesis, Mississippi State University, 2005.Google Scholar
  24. 24.
    E. Mota, V. Campos, A. Corbéran. A new metaheuristic for the vehicle routing problem with split demands. Working paper.Google Scholar
  25. 25.
    P.A. Mullaseril, M. Dror, J. Leung. Split-delivery routing in livestock feed distribution.Journal of the Operational Research Society, 48: 107-116, 1997.CrossRefGoogle Scholar
  26. 26.
    M.A. Nowak.The pickup and delivery problem with split loads. PhD thesis, Georgia Institute of Technology, 2005.Google Scholar
  27. 27.
    G. Sierksma, G.A. Tijssen. Routing helicopters for crew exchanges on off-shore locations.Annals of Operations Research, 76: 261-286, 1998.CrossRefGoogle Scholar
  28. 28.
    P. Toth, D. Vigo. The granular tabu search and its application to the vehicle-routing problem.INFORMS Journal on Computing, 15: 333-346, 2003.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of Quantitative MethodsUniversity of BresciaContrada Santa Chiara 50Italy

Personalised recommendations