The dependency diagram of a mixed integer linear programme

H. Paul Williams

LSE Research Online Documents on Economics from London School of Economics and Political Science, LSE Library

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.

JEL-codes: J50 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2013-04
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Persistent link: https://EconPapers.repec.org/RePEc:ehl:lserod:49680

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