Polynomial dual network simplex algorithms:

Abstract: "We show how to use polynomial and strongly polynomial capacity scaling algorithms for the transshipment problem to design a polynomial dual network simplex pivot rule. Our best pivoting strategy leads to an O(m²log n) bound on the number of pivots, where n and m denotes the number of...

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Bibliographic Details
Main Authors: Orlin, James B. (Author), Plotkin, Serge A. (Author), Tardos, Éva 1957- (Author)
Format: Book
Language:English
Published: Stanford, Calif. 1991
Series:Stanford University / Computer Science Department: Report STAN-CS 1374
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Summary:Abstract: "We show how to use polynomial and strongly polynomial capacity scaling algorithms for the transshipment problem to design a polynomial dual network simplex pivot rule. Our best pivoting strategy leads to an O(m²log n) bound on the number of pivots, where n and m denotes the number of nodes and arcs in the input network. If the demands are integral and at most B, we also give an O(m(m+n log n)min(log nB, mlog n))- time implementation of a strategy that requires somewhat more pivots."
Physical Description:23 S.

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