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.
Skip Nav Destination
Article navigation
March 1993
Research Papers
A Bayesian Estimation of Reliability Measures of Stepwise Exponential Distribution System
M. H. Hu
M. H. Hu
Westinghouse Electric Corporation, Nuclear Services Division, P.O. Box 355, Energy Center, Pittsburgh, PA 15230
Search for other works by this author on:
M. H. Hu
Westinghouse Electric Corporation, Nuclear Services Division, P.O. Box 355, Energy Center, Pittsburgh, PA 15230
J. Mech. Des. Mar 1993, 115(1): 61-68 (8 pages)
Published Online: March 1, 1993
Article history
Received:
August 1, 1991
Online:
June 2, 2008
Citation
Hu, M. H. (March 1, 1993). "A Bayesian Estimation of Reliability Measures of Stepwise Exponential Distribution System." ASME. J. Mech. Des. March 1993; 115(1): 61–68. https://doi.org/10.1115/1.2919326
Download citation file:
10
Views
Get Email Alerts
Cited By
DeepJEB: 3D Deep Learning-Based Synthetic Jet Engine Bracket Dataset
J. Mech. Des (April 2025)
Design and Justice: A Scoping Review in Engineering Design
J. Mech. Des (May 2025)
Related Articles
Dynamic Reliability Evaluation of Nonrepairable Multistate Weighted k -Out-of- n System With Dependent Components Based on Copula
ASME J. Risk Uncertainty Part B (December,2018)
Exact Closed-Form Fractional Spectral Moments for Linear Fractional
Oscillators Excited by a White Noise
ASME J. Risk Uncertainty Part B (September,2017)
A New Methodology for Structural Reliability Assessment of the Heat Exchanger Tubes of WWER Steam Generators
J. Pressure Vessel Technol (June,2017)
A Modified Reliability Index Approach for Reliability-Based Design Optimization
J. Mech. Des (April,2011)
Related Proceedings Papers
Related Chapters
Constructing Dynamic Event Trees from Markov Models (PSAM-0369)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
Decision Making in Two-Dimensional Warranty Planning (PSAM-0186)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
On the Exact Analysis of Non-Coherent Fault Trees: The ASTRA Package (PSAM-0285)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)