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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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 |
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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 |
Date Deposited: | 03 May 2016 15:37 |
Last Modified: | 14 Sep 2024 07:17 |
URI: | http://eprints.lse.ac.uk/id/eprint/66311 |
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