RESEARCH PAPERS: Reliability, Stress Analysis, and Failure Prevention Papers

A Bayesian Estimation of Reliability Measures of Stepwise Exponential Distribution System

[+] Author and Article Information
M. H. Hu

Westinghouse Electric Corporation, Nuclear Services Division, P.O. Box 355, Energy Center, Pittsburgh, PA 15230

J. Mech. Des 115(1), 61-68 (Mar 01, 1993) (8 pages) doi:10.1115/1.2919326 History: Received August 01, 1991; Online June 02, 2008


This paper presents an analysis method for reliability measures of a system with step changes in failure and repair rates. Both failure and repair time have exponential functions of time. Such a system is called a stepwise exponential distribution system. This kind of failure process can take place in various kinds of equipment. This paper deals with the system having components in a series arrangement. Bayesian statistics are used in defining prior and posterior probability density functions of failure and repair rates. These functions provide information for the estimation of several reliability measures: (1) failure and repair rates, (2) mean time to failure, (3) mean time to repair, (4) reliability function and (5) availability. A sample problem is given to illustrate the methodology. Bayesian estimation of the stepwise exponential distribution model is useful in the planning predictive maintenance of equipment.

Copyright © 1993 by The American Society of Mechanical Engineers
Topics: Reliability
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