The dependency diagram of a mixed integer linear programme

H Paul Williams ()
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H Paul Williams: London School of Economics and Political Science

Journal of the Operational Research Society, 2017, vol. 68, issue 7, 829-833

Abstract: 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.

Keywords: integer programming; elimination of variables; projection; linear congruences; generalised Chinese remainder theorem (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1057/jors.2016.45

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