Williams, H. Paul (2013) The dependency diagram of a linear programme. Working paper, LSEOR 13.138. 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. It is also explained how redundant inequalities can be removed, using the method attributed to Chernikov and to Kohler. The procedure also leads to a transparent explanation of Farkas' Lemma, LP Duality, the dual form of Caratheodory's Theorem as well as generating all vertices and extreme rays of the Dual Polytope.
| Item Type: | Monograph (Working Paper) |
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| Official URL: | http://www2.lse.ac.uk/management/research/working-... |
| Additional Information: | © 2013 The London School of Economics and Political Science |
| Library of Congress subject classification: | H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management Q Science > QA Mathematics |
| Sets: | Departments > Management Research centres and groups > Management Science Group |
| Identification Number: | LSEOR 13.138 |
| Date Deposited: | 26 Feb 2013 13:34 |
| URL: | http://eprints.lse.ac.uk/48829/ |
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