An approach to calculating the probability of retaining the maximal flow

An approach to calculating the probability of retaining the maximal flow

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Article ID: iaor20022985
Country: Netherlands
Volume: 62
Issue: 1
Start Page Number: 86
End Page Number: 100
Publication Date: Jan 2001
Journal: Automation and Remote Control
Authors: ,
Abstract:

Consideration is given to the probabilistic flow network whose arcs fail independently with the given probabilities. By the probability of retaining the maximal flow is meant the probability that the maximal flow in such a network is equal to the maximal flow in the corresponding nonprobabilistic network. A method of its precise and approximate (with given error) calculation is proposed, and examples are presented.

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