Titlebook: Recent Advances in Reliability Theory; Methodology, Practic N. Limnios,M. Nikulin Book 2000 Springer Science+Business Media New York 2000 A

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Modeling a Process of Non-Ideal Repairpair models with the sequence of dependent inter-arrival times are briefly reviewed. A new model of the non-ideal repair is studied when each repair performs the time-dependent scale transformation of the governing distribution function. This transformation can be described in terms of the accelerat

Medicare

Algorithms of Stochastic Activity and Problems of Reliabilityon are investigated. They intend to preserve high serviceability in varying environment (semi-Markov algorithms of search of maximum). Some optimality conditions are found for such an algorithm when it is used observing either a meaning of valuating function itself in a present point of a trajectory

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Characterization of Distributions in Reliabilityl functions of hierarchical structures is associated to (almost) every reliability polynomial. These survival functions are generalizations of the exponential survival function (corresponding to the reliability polynomial of series structures). The problem of recovering of reliability polynomials fr

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Asymptotic Analysis of Reliability for Switching Systems in Light and Heavy Traffic Conditionsse of mixing environment is studied. Special notions of S-set and “monotone” structure for finite Markov environment are introduced. An approximation by Poisson flows with Markov switches in case of asymptotically consolidated environment is proved. An analysis of the 1st exit time from a subset is

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Failure Models Indexed by Time and Usageaper we describe several methods by which reliability models indexed by time and usage may be constructed. The constructions rely on many of the most well known methods in reliability, such as the failure rate, proportional hazards and accelerated life. We demonstrate, by means of examples, that tra

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Reliability: Past, Present, Futureing. History of development of ideas in reliability theory is reviewed from W.Weibull and B. Gnedenko works up to recent time. A brief survey of significant publications in the area is given. Expanded reference is suggested at the end.

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