Equivalence of the primal and dual simplex algorithms for the maximum flow problem

Equivalence of the primal and dual simplex algorithms for the maximum flow problem

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Article ID: iaor19982384
Country: Netherlands
Volume: 20
Issue: 3
Start Page Number: 101
End Page Number: 108
Publication Date: Mar 1997
Journal: Operations Research Letters
Authors: ,
Keywords: programming: linear
Abstract:

In this paper, we study the primal and dual simplex algorithms for the maximum flow problem. We show that any primal simplex algorithm for the maximum flow problem can be converted into a dual simplex algorithm that performs the same number of pivots and runs in the same time. The converse result is also true though in a somewhat weaker form.

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