Fundamental : asymptotic methods were developed for calculating main reliability indicators of reserved systems; methods were proposed for asymptotic analysis of multichannel service systems under low-load conditions, and conditions of asymptotic insensibility of demand losing probability were specified; a series of methods were developed for accelerated modeling of highly reliable reserved systems and systems with network structures; methods and fast algorithms were developed for analyzing ultra-large-scale fault trees containing several thousand vertices; a model of a fault tree with efficiency and analytical and statistical methods for evaluating probabilistic characteristics of systems were developed; ergodicity and resistance conditions were defined for servicing systems with repeated calls and random distribution of orbit cycle time; the D.

Kendall hypothesis in the field of stochastic geometry was proven. Generic selectors.

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## Mathematical Methods in Reliability and Safety

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## Mathematical Theory of Reliability (Classics in Applied Mathematics)

Yurii P. Petro I. Mykola Y. Seller Inventory P Seller Inventory M Richard E.

Barlow ; Frank Proschan. Publisher: Society for Industrial and Applied Mathematics , This specific ISBN edition is currently not available. View all copies of this ISBN edition:. Synopsis About this title This monograph presents a survey of mathematical models useful in solving reliability problems.

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Mathematical Theory of Reliability Richard Barlow. Published by Society for Industrial and Applied Mathematics New Quantity Available: 3.

## Mathematical Methods of Reliability Theory - 1st Edition

Seller Rating:. Barlow, Frank Proschan. New Paperback Quantity Available: 1. Published by Society for Industrial and App New Paperback Quantity Available: 2.