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Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows

Author

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  • C. Archetti

    (Department of Quantitative Methods, University of Brescia, 25122 Brescia, Italy)

  • M. Bouchard

    (Mechanical Engineering Department, Université Laval, Forac Research Consortium, Québec G1V 0A6, Canada)

  • G. Desaulniers

    (Ecole Polytechnique de Montréal and GERAD, Montréal, Québec H3C 3A7, Canada)

Abstract

In this paper, we study the split delivery vehicle routing problem with time windows (SDVRPTW) that is a variant of the well-known vehicle routing problem with time windows (VRPTW), where each customer can be served by more than one vehicle. We propose enhancement procedures for the exact branch-and-price-and-cut algorithm that was recently developed for the SDVRPTW. In particular, we introduce a tabu search algorithm to solve the column-generation subproblem, extensions of several classes of valid inequalities, and a new separation algorithm for the k -path inequalities. Computational results show the effectiveness of the proposed enhancements.

Suggested Citation

  • C. Archetti & M. Bouchard & G. Desaulniers, 2011. "Enhanced Branch and Price and Cut for Vehicle Routing with Split Deliveries and Time Windows," Transportation Science, INFORMS, vol. 45(3), pages 285-298, August.
  • Handle: RePEc:inm:ortrsc:v:45:y:2011:i:3:p:285-298
    DOI: 10.1287/trsc.1100.0363
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    References listed on IDEAS

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    1. C. Archetti & M. G. Speranza & A. Hertz, 2006. "A Tabu Search Algorithm for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 40(1), pages 64-73, February.
    2. Niklas Kohl & Jacques Desrosiers & Oli B. G. Madsen & Marius M. Solomon & François Soumis, 1999. "2-Path Cuts for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 33(1), pages 101-116, February.
    3. Guy Desaulniers & François Lessard & Ahmed Hadjar, 2008. "Tabu Search, Partial Elementarity, and Generalized k -Path Inequalities for the Vehicle Routing Problem with Time Windows," Transportation Science, INFORMS, vol. 42(3), pages 387-404, August.
    4. Moshe Dror & Pierre Trudeau, 1989. "Savings by Split Delivery Routing," Transportation Science, INFORMS, vol. 23(2), pages 141-145, May.
    5. J. M. Belenguer & M. C. Martinez & E. Mota, 2000. "A Lower Bound for the Split Delivery Vehicle Routing Problem," Operations Research, INFORMS, vol. 48(5), pages 801-810, October.
    6. Claudia Archetti & M. Grazia Speranza & Martin W. P. Savelsbergh, 2008. "An Optimization-Based Heuristic for the Split Delivery Vehicle Routing Problem," Transportation Science, INFORMS, vol. 42(1), pages 22-31, February.
    7. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    8. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    9. Jin, Mingzhou & Liu, Kai & Bowden, Royce O., 2007. "A two-stage algorithm with valid inequalities for the split delivery vehicle routing problem," International Journal of Production Economics, Elsevier, vol. 105(1), pages 228-242, January.
    10. Gerard Sierksma & Gert Tijssen, 1998. "Routing helicopters for crew exchanges on off-shore locations," Annals of Operations Research, Springer, vol. 76(0), pages 261-286, January.
    11. Lee, Chi-Guhn & Epelman, Marina A. & White III, Chelsea C. & Bozer, Yavuz A., 2006. "A shortest path approach to the multiple-vehicle routing problem with split pick-ups," Transportation Research Part B: Methodological, Elsevier, vol. 40(4), pages 265-284, May.
    12. Claudia Archetti & Martin W. P. Savelsbergh & M. Grazia Speranza, 2006. "Worst-Case Analysis for Split Delivery Vehicle Routing Problems," Transportation Science, INFORMS, vol. 40(2), pages 226-234, May.
    13. Mads Jepsen & Bjørn Petersen & Simon Spoorendonk & David Pisinger, 2008. "Subset-Row Inequalities Applied to the Vehicle-Routing Problem with Time Windows," Operations Research, INFORMS, vol. 56(2), pages 497-511, April.
    14. Marius M. Solomon, 1987. "Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints," Operations Research, INFORMS, vol. 35(2), pages 254-265, April.
    15. Stefan Irnich & Guy Desaulniers, 2005. "Shortest Path Problems with Resource Constraints," Springer Books, in: Guy Desaulniers & Jacques Desrosiers & Marius M. Solomon (ed.), Column Generation, chapter 0, pages 33-65, Springer.
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