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Fluctuation Mechanism and Control on System Instantaneous Availability
book

Fluctuation Mechanism and Control on System Instantaneous Availability

by Yi Yang, Yong-Li Yu, Li-Chao Wang
January 2016
Intermediate to advanced content levelIntermediate to advanced
299 pages
6h 54m
English
CRC Press
Content preview from Fluctuation Mechanism and Control on System Instantaneous Availability
Discrete-Time Instantaneous Availability Models 205
where A
j
is the approximate instantaneous availability in case t
j
= jh for the system
instantaneous availability A(t):
g
u
[(iv)h] = g
u(iv)
.
7.6.2 Discrete Model
Suppose the system consists of n units in a series, among which the failure time of
ith unit X
i
follows the geometric distribution, whereas the repair time after fail-
ure Y
i
follows the general probability distribution. e failure rate function and
repair rate function of every unit are λ(k) = λ and μ(k), respectively. Generally,
in the discrete-time repairable system, the failure can occur in multiple units at
the same time. B ...
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Publisher Resources

ISBN: 9781498734684