To read this content please select one of the options below:

Use of Basu-Dhar bivariate geometric distribution in the analysis of the reliability of component series systems

Ricardo Puziol Oliveira (Faculty of Medicine of Ribeirao Preto, University of Sao Paulo, Ribeirao Preto, Brazil)
Jorge Alberto Achcar (Faculty of Medicine of Ribeirao Preto, University of Sao Paulo, Ribeirao Preto, Brazil)

International Journal of Quality & Reliability Management

ISSN: 0265-671X

Article publication date: 8 February 2019

Issue publication date: 22 March 2019

141

Abstract

Purpose

The purpose of this paper is to provide a new method to estimate the reliability of series system by using a discrete bivariate distribution. This problem is of great interest in industrial and engineering applications.

Design/methodology/approach

The authors considered the Basu–Dhar bivariate geometric distribution and a Bayesian approach with application to a simulated data set and an engineering data set.

Findings

From the obtained results of this study, the authors observe that the discrete Basu–Dhar bivariate probability distribution could be a good alternative in the analysis of series system structures with accurate inference results for the reliability of the system under a Bayesian approach.

Originality/value

System reliability studies usually assume independent lifetimes for the components (series, parallel or complex system structures) in the estimation of the reliability of the system. This assumption in general is not reasonable in many engineering applications, since it is possible that the presence of some dependence structure between the lifetimes of the components could affect the evaluation of the reliability of the system.

Keywords

Citation

Oliveira, R.P. and Achcar, J.A. (2019), "Use of Basu-Dhar bivariate geometric distribution in the analysis of the reliability of component series systems", International Journal of Quality & Reliability Management, Vol. 36 No. 4, pp. 569-586. https://doi.org/10.1108/IJQRM-05-2018-0115

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

Related articles