Pruning in column generation for service vehicle dispatching. Annals of Operations Research, 159 (1): 355-371, 2008.
Selected
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.
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@ARTICLE{2008-355-371-SI, author = {S. Westphal and S. O. Krumke},
title = {Pruning in column generation for service vehicle dispatching},
journal = {Annals of Operations Research},
year = {2008},
volume = {159},
pages = {355--371},
number = {1},
note = {Selected},
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.},
doi = {10.1007/s10479-007-0275-0},
owner = {user},
timestamp = {2012.05.25} }