The dependency diagram of a mixed integer linear programme

نویسنده

  • H. Paul Williams
چکیده

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 FourierMotzkin 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 …nite disjunction of polytopes. This is expressed as a set of inequalities (mirroring those in the LP case) augmented by correction terms with …nite domains which are subject to linear congruences.

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عنوان ژورنال:
  • JORS

دوره 68  شماره 

صفحات  -

تاریخ انتشار 2017