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NETWORK SIMPLEX ALGORITHM ASSOCIATED WITH THE MAXIMUM FLOW PROBLEM

Published in Far East Journal of Mathematical Sciences (FJMS) • Jun 27, 2018
Authors:
Sennosuke Watanabe
,
Hodaka Tanaka
,
Yoshihide Watanabe

Abstract

In the present paper, we apply the network simplex algorithm for solving the minimum cost flow problem, to the maximum flow problem.Then we prove that the cycling phenomenon which causes the infinite loop in the algorithm, does not occur in the network simplex algorithm associated with the maximum f...

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