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Pruning in column generation for service vehicle dispatching

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  • Stephan Westphal
  • Sven Krumke

Abstract

Column generation techniques have become a widely used technique to successfully solve large (integer) linear programs. One of the keys to obtaining a practically efficient algorithm is to have a fast method to limit the pricing of new columns to a small set. We study a large scale real-world vehicle dispatching problem with soft time windows which can be modeled as an integer linear program of set partitioning type. We develop a new pruning scheme based on matchings in order to speed up the branch-and-bound enumeration in the column generation process. Computational results on real-world data illustrate the effectiveness of the new pruning scheme. Copyright Springer Science+Business Media, LLC 2008

Suggested Citation

  • Stephan Westphal & Sven Krumke, 2008. "Pruning in column generation for service vehicle dispatching," Annals of Operations Research, Springer, vol. 159(1), pages 355-371, March.
  • Handle: RePEc:spr:annopr:v:159:y:2008:i:1:p:355-371:10.1007/s10479-007-0275-0
    DOI: 10.1007/s10479-007-0275-0
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    References listed on IDEAS

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    Cited by:

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    2. Ferrucci, Francesco & Bock, Stefan, 2015. "A general approach for controlling vehicle en-route diversions in dynamic vehicle routing problems," Transportation Research Part B: Methodological, Elsevier, vol. 77(C), pages 76-87.

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