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A simple algorithm for reliability evaluation of a stochastic-flow network with node failure. (English) Zbl 0989.90015
Summary: This paper addresses a stochastic-flow network in which each arc or node has several capacities and may fail. Given the demand $$d$$, we try to evaluate the system reliability that the maximum flow of the network is not less than $$d$$. A simple algorithm is proposed firstly to generate all lower boundary points for $$d$$, and then the system reliability can be calculated in terms of such points. One computer example is shown to illustrate the solution procedure.

MSC:
 90B15 Stochastic network models in operations research 90B25 Reliability, availability, maintenance, inspection in operations research
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References:
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