This study shows that the steady-state availability ofa two-unit series system, which operates under a one-direction shut-off rule with a preemptive repair priority for unit I , depends only on the first-order system parameters. First we obtain both transient and steady-state system availability and
Analysis of a two-component series system with a geometric process model
✍ Scribed by Yeh Lam; Yuan Lin Zhang
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 559 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
✦ Synopsis
In this article, a geometric process model is introduced for the analysis of a two-component series system with one repairman. For each component, the successive operating times form a decreasing geometric process with exponential distribution, whereas the consecutive repair times constitute an increasing geometric process with exponential distribution, but the replacement times form a renewal process with exponential distribution. By introducing two supplementary variables, a set of partial differential equations is derived. These equations can be solved analytically or numencally. Further, the availability and the rate of occurrence of failure of the system are also determined.
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