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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
Volatility of System Instantaneous Availability 165
Similar to the method for judging the existence of volatility in Section 6.3.1.2,
the steps to judge the volatility can be given according to eorem 6.7.
Step one:
Calculate the steady-state availability A.
From the Formulas 6.20 and 6.44, we can calculate
2
2
A
M
M
=
λ+
.
Step two:
Judge whether the extreme point of A(t) exists when t [0,M]. Because
At
ee
M
tM
tt
=
β−β
λ+
λ
ββ
()
()
4
,[0, ],
12
2
12
solve the extreme point of A(t).
Namely,
β=
ββ
At ee
tt
()
–0.
1
2
2
2
12
Get the stagnation point:
=
β−β
β
β
=
λ+
λ
λ+ λ+
λ
+
t
M
M
M
2
1n
2
4
1n
4
2
2
0
12
2
1
2
2
(6.51)
We easily can prove A(t) < 0, t < t
0
; A(t) > 0 t > t
0
, so t
0
is the ex ...
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Publisher Resources

ISBN: 9781498734684