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System availability in a gamma alternating renewal process

โœ Scribed by T. Pham-Gia; N. Turkkan


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
213 KB
Volume
46
Category
Article
ISSN
0894-069X

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โœฆ Synopsis


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 value is intermediary between instantaneous and steady-state availabilities. We also present other significant results concerning the Gamma Alternating Renewal Process.


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The asymptotic joint distribution of the
โœ J. E. Angus ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 264 KB

An alternating renewal process starts at time zero and visits states 1,2, . . . ,r, 1,2, . . . ,r, 1,2, . . . ,r, . . . in succession. The time spent in state i during any cycle has cumulative distribution function F,, and the sojourn times in each state are mutually independent, positive and nondeg