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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
200 System Instantaneous Availability
7.5.2 Description of Discrete-Time Models
Suppose the system has only one unit, and its failure time X follows the general
probability distribution F(t). After the system fails, it is repaired immediately. Its
repair time is Y. Considering it has a repair delay, suppose the repair delay time is
W, where X, Y, and W are independent of each other, and all follow the general
discrete distribution.
In order to differentiate among the different conditions of the system, its states
are defined as
Zt k
Zt kk
Zt k
=
==
=
System normal at time point
System repaired afterfailureattimepoint
System beingrepairedattimepoint
() 0
()
10
,1,2, ...
() 2
e system failure rate function and repair rate function are λ(k) and μ(
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Publisher Resources

ISBN: 9781498734684