We present an algebraic approach for computing the distribution of the capacity of a minimum s-t cut in a network, in which the arc capacities have known (discrete) probability distributions. Algorithms are developed to determine the exact distribution as well as upper and lower bounding distributions on the capacity of a minimum cut. This approach then provides exact and bounding distributions on the maximum flow in such stochastic networks. We also obtain bounds on the expected capacity of a minimum cut (and the expected maximum flow value). © 2011 Springer-Verlag.
CITATION STYLE
Hastings, K. C., & Shier, D. R. (2011). Algebraic methods for stochastic minimum cut and maximum flow problems. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6701 LNCS, pp. 295–308). https://doi.org/10.1007/978-3-642-21527-8_35
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