Citation

Westphal, S and Krumke, S. O Improved Pruningin Columngeneration Of A Vehicle Routing Problem. In proceedings of the 2nd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2005), 18 -21 July 2005, New York, USA, pages 705-722, 2005.

Paper


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 modelled 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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Bibtex

@INPROCEEDINGS{2005-705-722-P, author = {S. Westphal and S. O. Krumke},
title = {Improved Pruningin Columngeneration Of A Vehicle Routing Problem},
booktitle = {In proceedings of the 2nd Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2005), 18 -21 July 2005, New York, USA},
year = {2005},
editor = {G. Kendall and L. Lei and M. Pinedo},
pages = {705--722},
note = {Paper},
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 modelled 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.},
owner = {Faizah Hamdan},
timestamp = {2012.05.21},
webpdf = {2005-705-722-P.pdf} }