The dependency diagram of a linear programme
نویسنده
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 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 FarkasLemma, LP Duality, the dual form of Caratheodorys Theorem as well as generating all vertices and extreme rays of the Dual Polytope.
منابع مشابه
The dependency diagram of a mixed integer linear programme
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. T...
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ورودعنوان ژورنال:
- JORS
دوره 67 شماره
صفحات -
تاریخ انتشار 2016