Cookies?
Library Header Image
LSE Research Online LSE Library Services

The dependency diagram of a linear programme

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.

[img]
Preview
PDF
Download (225Kb) | Preview

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)
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
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: LSEOR 13.138
Date Deposited: 26 Feb 2013 13:34
URL: http://eprints.lse.ac.uk/48829/

Actions (login required)

Record administration - authorised staff only Record administration - authorised staff only

Downloads

Downloads per month over past year

View more statistics