Williams, H. P. (2013) The dependency diagram of a mixed integer linear programme. Working paper (LSEOR 13.139). Management Science Group, Department of Management, The London School of Economics and Political Science, London, UK.
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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: | Monograph (Working Paper) |
|---|---|
| Official URL: | http://www2.lse.ac.uk/management/research/working-... |
| Additional Information: | © 2013 The London School of Economics and Political Science |
| Divisions: | Management |
| Subjects: | H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management Q Science > QA Mathematics |
| Date Deposited: | 16 Apr 2013 14:21 |
| Last Modified: | 15 Sep 2023 23:28 |
| URI: | http://eprints.lse.ac.uk/id/eprint/49680 |
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