Comparing alternating renewal processes
โ Scribed by Dalen T. Chiang; Shun-Chen Niu
- Publisher
- John Wiley and Sons
- Year
- 1981
- Tongue
- English
- Weight
- 332 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
Sufficient conditions are given for stochastic comparison of two alternating renewal processes based on the concept of uniformization. The result is used to compare component and system performance processes in maintained reliability systems.
๐ SIMILAR VOLUMES
Let (tn = .zo + . . . + 2,)~ be renewal instants sequence. Suppose that the random variables (Zn)N are independent and the corresponding renewal process is stationary (in weak sense) with a finite positive intensity. Then there exists an integer d 2 1 such that the sequence (t,d)n10 forms a stationa
We measure the effectiveness of a repairable system by the proportion of time the system is on, where on-time and off-times are assumed independent and both gamma-distributed. This measure is helpful for system planning and control in the short term, before the steady-state is reached, and its mean