Abstract
Some researchers have not used the ‘strong’ formulations for single and multistage warehouse location problems despite it being well known earlier. In this paper we give ‘strong’ and ‘weak’ formulations of the single stage uncapacitated warehouse location problem (SSUWLP) by borrowing from the literature on capacitated version of the problem. The constraints borrowed are ‘weak’ constraints, demand side ‘strong’ constraints and the supply side ‘strong’ constraints. We give four different formulations of the SSUWLP and also empirical results for the relative strengths of their linear programming (LP) relaxations.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Geoffrion, A., Graves, G.: Multicommodity distribution system design by Benders decomposition. Management Science 20(5), 822–844 (1974)
Sharma, R.R.K.: Modeling fertilizer distribution system. Europ. J. of Operational Research 51, 24–34 (1991)
Kouvelis, P., Rosenblatt, M., Munson, C.: A mathematical programming model for global plant location problems: Analysis and insights. IIE Transactions 36, 127–144 (2004)
Sharma, R.R.K., Sharma, K.D.: A new dual based procedure for the transportation problem. Europ. J. of Operational Research 122(3), 611–624 (2000)
Nemhauser, G., Wolsey, L.: Integer and Combinatorial optimization. Wiley and Sons, New York (1988)
Rardin, R., Choe, U.: Tighter relaxations of fixed charge network flow problems. Technical Report J-79-18, Georgia Institute of Technology, Atlanta, Georgia (1979)
Sharma, R.R.K., Berry, V.: Developing new formulations and relaxations of single stage capacitated warehouse location problem (SSCWLP): Empirical investigation for assessing relative strengths and computational effort. Europ. J. of Operational Research 177(2), 803–812 (2007)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Verma, P., Sharma, R.R.K. (2010). Strong and Weak Formulations of Single Stage Uncapacitated Warehouse Location Problem. In: Das, V.V., et al. Information Processing and Management. BAIP 2010. Communications in Computer and Information Science, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12214-9_120
Download citation
DOI: https://doi.org/10.1007/978-3-642-12214-9_120
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12213-2
Online ISBN: 978-3-642-12214-9
eBook Packages: Computer ScienceComputer Science (R0)