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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 Network models, stochastic (optimization) 90B25 Reliability, availability, maintenance, inspection, etc. (optimization)