Stochastic modeling for reliability. Shocks, burn-in and heterogeneous populations
type: Item
instance of: scholarly article
title: Stochastic modeling for reliability. Shocks, burn-in and heterogeneous populations
zbMATH Open document ID: 1271.90002
DOI: 10.1007/978-1-4471-5028-2
author: Maxim Finkelstein
author: Ji Hwan Cha
published in: Springer Series in Reliability Engineering
publication date: 2013-04-16T00:00:00Z
review text: In the framework of \textit{stochastic modeling for reliability} a combination of the three areas \textit{shock models}, \textit{burn-in} and \textit{stochastic modeling in heterogeneous populations} is presented. Here, by a ``shock'' an instantaneous, potentially harmful event is meant, ``burn-in'' is a method, of elimination of initial failures in field usage. Hence, during a fixed time period, the system is under a simulated use prior to the actual operation. Moreover, due to the instability of production processes, environmental and other factors, most populations of manufactured items are heterogeneous in practice. The book -- written for researchers as well as practitioners in reliability engineering -- contains the following chapters: After a description of the aims and scope in the first chapter, in Chapter 2 ``Basic Stochastics for Reliability Analysis'' an introduction to reliability and the corresponding notations is given. Basic shock models and simple applications are treated in Chapter 3 ``Shocks and Degradation''. Extended and generalized shock models are considered in Chapter 4 ``Advanced Theory for Poisson Shock Models''. Stochastic analyses of heterogeneous populations are presented in Chapter 5 ``Heterogeneous Populations''. Here, mixtures of distributions represent a mathematical tool for modeling heterogeneity. The concept of ``burn-in'' is introduced and then applied to repairable items in Chapter 6 ``The Basics of Burn-in'' and Chapter 7 ``Burn-in for Repairable Systems''. While in Chapters 6 and 7 burn-in procedures for homogeneous populations have been considered, Chapter 8 ``Burn-in for Heterogeneous Populations'' is devoted to burn-in for heterogeneous populations of items. The stochastic theory of shocks described in previous parts of the book is applied in Chapter 9 ``Shocks as Burn-in'' to burn-in modeling. In the last Chapter 10 ``Stochastic Models for Environmental Stress Screening'' another method for eliminating weak items is discus…
reviewed by: Kurt Marti
Mathematics Subject Classification ID: 90-02
Mathematics Subject Classification ID: 90B25
zbMATH DE Number: 6154489
zbMATH Keywords: reliability
zbMATH Keywords: stochastic models
zbMATH Keywords: shocks
zbMATH Keywords: burn-in
zbMATH Keywords: heterogeneous populations
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-1-4471-5028-2
OpenAlex ID: W2490005139
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description: scientific article; zbMATH DE number 6154489