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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 155
=
−+−∈
∈+
t
M
tM
t
M
t
M
tMM
tM
2
,[
0, ]
2
2
1, [,2]
1, [2
,]
2
2
2
2
(6.23)
en, substituting Q(t) into the renewal equation (6.18), we can get:
∫∫
∫∫
[]
() () () ()
() ()
() ()
=− +
=
−+
+−
+
+−
+
∈+
At Ft Qt At
t
M
tu
M
Audu
tM
tz
M
Azdz
tz
MM
Azdz tMM
tz
M
Azdz
tz
MM
Azdz tM
t
tM
tM
t
tM
tM
tM
t
1*
1(), 0,
2
,,
2
2
,2,
2
0
22
0
22
2
(6.24)
We take the derivative of Equation 6.24 to obtain the two-order delay differen-
tial equations with piecewise:
)
)
))
)) )
(
(
((
(( (
′′
=
−−
−−+−
∈+
At
M
At tM
M
At
M
At
Mt
MM
M
At
M
At M
M
At MtM
1
,[
0, ]
12
,[
,2 ]
12 1
2, [2
,]
2
22
22 2
(6.25)
For the delay differential equations with piece
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Publisher Resources

ISBN: 9781498734684