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The dependency diagram of a linearprogramme

Williams, H. Paul (2013) The dependency diagram of a linearprogramme. Working paper (LSEOR 13.138). London School of Economics and Political Science, London, UK.

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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)
Official URL:
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: 26 Feb 2013 13:34
Last Modified: 16 May 2024 11:59

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