The dependency diagram of a mixed integer linear programme
Williams, H. P.
(2013).
The dependency diagram of a mixed integer linear programme.
(Working paper LSEOR 13.139).
Management Science Group, Department of Management, The London School of Economics and Political Science.
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.
| Item Type | Working paper |
|---|---|
| Copyright holders | © 2013 The London School of Economics and Political Science |
| Departments | LSE > Academic Departments > Management |
| Date Deposited | 16 Apr 2013 |
| URI | https://researchonline.lse.ac.uk/id/eprint/49680 |
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