Transient Analysis of Multistage Degraded Systems with L Exponential Failure Modes and Partial Repair Times Modeled by Coxian-2 Distribution
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Magdi S. Moustafa
Abstract.
The paper presents a model of multistage degraded system subject to L random failure modes and partial repairs. A transient analysis is performed and transient probabilities are calculated to find the availability, the mean of life times and of operational life times. Constant state dependent transition rates for the degradation process as well as for the failure process are considered. In contrast, the state dependent partial repair times follow distributions with the square of coefficient of variation greater than or equal to one. Moreover, the special case of Coxian-2 distributions for the partial repair times is investigated. A numerical example is provided to illustrate applicability of the expressions that are obtained throughout the paper.
© 2013 by Walter de Gruyter Berlin Boston
Articles in the same Issue
- Masthead
- A Critical Review of Statistical Methods Used in Quality Control
- Estimation of Crossing Points of Continuous Distribution Functions
- Transient Analysis of Multistage Degraded Systems with L Exponential Failure Modes and Partial Repair Times Modeled by Coxian-2 Distribution
- Control Charts for Doubly Truncated Binomial Distributions
- A Class of Exponential-Type Estimators in Systematic Sampling
Articles in the same Issue
- Masthead
- A Critical Review of Statistical Methods Used in Quality Control
- Estimation of Crossing Points of Continuous Distribution Functions
- Transient Analysis of Multistage Degraded Systems with L Exponential Failure Modes and Partial Repair Times Modeled by Coxian-2 Distribution
- Control Charts for Doubly Truncated Binomial Distributions
- A Class of Exponential-Type Estimators in Systematic Sampling
