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- W2083008923 abstract "Acyclic networks are represented by rooted trees T from a given simply generated family ℱ. Let ℱn,p be the subset of ℱ containing all trees T with n nodes and p leaves. Assume that T is selected uniformly from ℱn,p and that each edge of t has probability q of failing. Let Zi = 1 if the path conecting the root of T to the ith leaf does not contain a failed edge, O otherwise. We investigate the stochastic process (Zi,…,Zp). Asympototic results, manly for the family of tary trees, are derived. As auxiliary results, a general rotation lemma for simple families of trees is given, and the (joint) asymptotic leaf height destributions in tary trees determined. © 1994 John Wiley & Sons, Inc." @default.
- W2083008923 created "2016-06-24" @default.
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- W2083008923 date "1994-01-01" @default.
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- W2083008923 title "Connection reliabilities in stochastic acyclic networks" @default.
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- W2083008923 doi "https://doi.org/10.1002/rsa.3240050108" @default.
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