The splitting of variables and constraints in the formulation of integer programming models


Williams, H.P. and Brailsford, S.C. (1997) The splitting of variables and constraints in the formulation of integer programming models. European Journal of Operational Research, 100, (3), 623-628. (doi:10.1016/S0377-2217(96)00236-6).

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Description/Abstract

The splitting of variables in an integer programming model into the sum of other variables can allow the constraints to be disaggregated, leading to a more constrained (tighter) linear programming relaxation. Well known examples of such reformulations are quoted from the literature. They can be viewed as instances of some general methods of performing such reformulations, namely disjunctive formulations, partial network reformulations and a method based on the introduction of auxiliary variables.

Item Type: Article
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Subjects: H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
Divisions: University Structure - Pre August 2011 > School of Management
ePrint ID: 36255
Date Deposited: 12 Feb 2007
Last Modified: 27 Mar 2014 18:22
URI: http://eprints.soton.ac.uk/id/eprint/36255

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