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The dependency diagram of a mixed integer linear programme

Williams, H. Paul (2017) The dependency diagram of a mixed integer linear programme. Journal of the Operational Research Society, 68 (7). pp. 829-833. ISSN 0160-5682

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Identification Number: 10.1057/jors.2016.45

Abstract

The Dependency Diagram of a Linear Programme (LP) shows how the successive inequalities of an LP depend on former inequalities, when variables are projected out by Fourier- Motzkin Elimination. This is explained in a paper referenced below. The paper, given here, extends the results to the Mixed Integer case (MILP). It is shown how projection of a MILP leads to a finite disjunction of polytopes. This is expressed as a set of inequalities (mirroring those in the LP case) augmented by correction terms with finite domains which are subject to linear congruences.

Item Type: Article
Official URL: http://www.palgrave-journals.com/jors/
Additional Information: © 2017 Operational Research Society Ltd.
Divisions: Management
Subjects: H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
Q Science > QA Mathematics
Sets: Departments > Management
Date Deposited: 03 May 2016 15:37
Last Modified: 19 Nov 2019 12:45
URI: http://eprints.lse.ac.uk/id/eprint/66311

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