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Engineering - Production & Process Engineering | Stochastic Modeling for Reliability - Shocks, Burn-in and Heterogeneous populations

Stochastic Modeling for Reliability

Shocks, Burn-in and Heterogeneous populations

Finkelstein, Maxim, Cha, Ji Hwan

2013, XIV, 388 p. 48 illus.

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  • Provides methods for decreasing the cost of burn-in
  • Can be used as a basis for a postgraduate course on reliability engineering
  • Describes new settings and approaches that can be useful to researchers

Focusing on shocks modeling, burn-in and heterogeneous populations, Stochastic Modeling for Reliability naturally combines these three topics in the unified stochastic framework and presents numerous practical examples that illustrate recent theoretical findings of the authors. 

The populations of manufactured items in industry are usually heterogeneous. However, the conventional reliability analysis is performed under the implicit assumption of homogeneity, which can result in distortion of the corresponding reliability indices and various misconceptions. Stochastic Modeling for Reliability fills this gap and presents the basics and further developments of reliability theory for heterogeneous populations. Specifically, the authors consider burn-in as a method of elimination of ‘weak’ items from heterogeneous populations. The real life objects are operating in a changing environment. One of the ways to model an impact of this environment is via the external shocks occurring in accordance with some stochastic point processes. The basic theory for Poisson shock processes is developed and also shocks as a method of burn-in and of the environmental stress screening for manufactured items are considered.

Stochastic Modeling for Reliability introduces and explores the concept of burn-in in heterogeneous populations and its recent development, providing a sound reference for reliability engineers, applied mathematicians, product managers and manufacturers alike.

Content Level » Research

Keywords » Failure Rate - Heterogeneous Populations - Mathematical Modeling - Minimal Repair - Reliability Engineering

Related subjects » Physical & Information Science - Production & Process Engineering

Table of contents 

1.Introduction.- 2.Basic Stochastics for Reliability Analysis.- 3.Shocks and Degradation.- 4.Advanced Theory for Poisson Shock Models.- 5.Heterogeneous Populations.- 6.The basics of Burn-in.- 7.Burn-in for Repairable Systems.- 8.Burn-in for Heterogeneous Populations.- 9.Shocks as Burn-in.- 10.Stochastic Models for Environmental Stress Screening.

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