• Corpus ID: 15471805

Estimation of System Reliability in Multi- Component Series Stress-strength Models

@inproceedings{HanagalEstimationOS,
  title={Estimation of System Reliability in Multi- Component Series Stress-strength Models},
  author={David D. Hanagal}
}
In this paper, we estimate the reliability of series system with k components. We assume the strengths of these k components are subjected to a common stress which is independent of the strengths of the k components. If (X 1 , ..., X k) are strengths of k components subjected to a common stress X k+1 , then the reliability of the series system or system reliability (R) is given by (k+1) independent Gamma, Weibull and Pareto distributions. We also obtain the asymptotic normal(AN) distributions… 
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17 Citations
Highly Influential Citations
2
Background Citations
5
Methods Citations
4

17 Citations

Citation Type

Citation Type

Reliability of multi-component stress–strength models
Classical and Bayesian Estimation of Reliability in Multicomponent Stress-Strength Model Based on Weibull Distribution
In this study, we consider a multicomponent system which has k independent and identical strength components X1,...,Xk and each component is exposed to a common random stress Y when the underlying…
Estimation of stress-strength reliability of a parallel system with active, warm and cold standby components
TLDR
This paper estimates the stress–strength reliability of a parallel system with l active components, s warm standby components, and k cold standby components by assuming both the stress and strength of the components having Exponential, Weibull, and Lomax distributions.
Estimation of Reliability in a Multicomponent Stress-Strength Model Based on a Marshall-Olkin Bivariate Weibull Distribution
TLDR
This paper considers a system which has k s-independent and identically distributed strength components, and each component is constructed by a pair of s-dependent elements, and the reliability estimators are compared by using the estimated risks through Monte Carlo simulations.
On estimating the reliability in a multicomponent stress-strength model based on Chen distribution
Abstract In this article, we obtain point and interval estimates of multicomponent stress-strength reliability model of an s-out-of-j system using classical and Bayesian approaches by assuming both…
Reliability Estimation in Multicomponent Stress-Strength Based on Inverse Weibull Distribution
The present study focuses on the multi-component stress-strength (MCSS) model based on inverse Weibull distribution (IWD). Both stress and strength are assumed to follow IWD with a common shape…
Reliability Evaluation for a Multi-State System Under Stress-Strength Setup
The two most commonly used reliability models in engineering applications are binary k-out-of-n:G and consecutive k-out-of-n:G systems. Multi-state k-out-of-n:G and multi-state consecutive…
Estimation of reliability of multicomponent stress–strength for a Kumaraswamy distribution
Abstract This article deals with the Bayesian and non Bayesian estimation of multicomponent stress–strength reliability by assuming the Kumaraswamy distribution. Both stress and strength are assumed…
A Bayesian Approach to Parallel Stress-Strength Models
Abstract This work presents a Bayesian approach for estimating the reliability of a parallel multi-component system. It is assumed that the strengths of the components are independent random…
Estimation of reliability of multicomponent stress-strength inverted exponentiated Rayleigh model
ABSTRACT In this paper, we consider the estimation of the multicomponent reliability by assuming the inverted exponentiated Rayleigh distribution. Both stress and strength are assumed to have an…
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References

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Estimation of Reliability For a Series Stress-Strength System
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    IEEE Transactions on Reliability
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The reliability, an upper bound for it, and an asymptotic estimator for it, for a series stress-strength system have been derived under several assumptions.
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