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

The splitting of variables and constraints in the formulation of integer programming models
The splitting of variables and constraints in the formulation of integer programming models
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.
0377-2217
623-628
Williams, H.P.
4f620625-0c8e-463a-85c0-703b05c83d27
Brailsford, S.C.
634585ff-c828-46ca-b33d-7ac017dda04f
Williams, H.P.
4f620625-0c8e-463a-85c0-703b05c83d27
Brailsford, S.C.
634585ff-c828-46ca-b33d-7ac017dda04f

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).

Record type: Article

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.

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Published date: August 1997
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Identifiers

Local EPrints ID: 36255
URI: http://eprints.soton.ac.uk/id/eprint/36255
DOI: doi:10.1016/S0377-2217(96)00236-6
ISSN: 0377-2217
PURE UUID: ea991830-4d76-4ef2-8ee3-2bb71d1fc7a0
ORCID for S.C. Brailsford: ORCID iD orcid.org/0000-0002-6665-8230

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Date deposited: 12 Feb 2007
Last modified: 16 Mar 2024 02:41

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Author: H.P. Williams
Author: S.C. Brailsford ORCID iD

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