# 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…

## 17 Citations

Classical and Bayesian Estimation of Reliability in Multicomponent Stress-Strength Model Based on Weibull Distribution

- Mathematics
- 2015

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

- Engineering
- 2017

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

- PhysicsIEEE Transactions on Reliability
- 2016

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

- MathematicsCommunications in Statistics - Theory and Methods
- 2019

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

- EngineeringProcesses
- 2022

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

- Engineering
- 2011

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

- Mathematics
- 2017

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

- Mathematics
- 2007

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

- MathematicsJournal of Industrial and Production Engineering
- 2019

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…

## References

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