January 2016
Intermediate to advanced
300 pages
6h 54m
English
book
Fluctuation Mechanism and Control on System Instantaneous Availability
by Yi Yang, Yong-Li Yu, Li-Chao Wang
Content preview from Fluctuation Mechanism and Control on System Instantaneous Availability
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106 ◾ System Instantaneous Availability
According to eorem 5.12, the rank of matrix I – B is n
1
+ n
2
+ n
3
+ 2. en,
…
…
…
∏
∏
∏
∑
∑
()
() ()
()
()
() ()
()
()
()
()
=−λ
=−λ
−λ
=−λ
=−µ
=−µ
−µ
=−µ
=−ρ
=−ρ−ρ
=−ρ
µ−
−=
ρ−
−=
+
=
−
++
++
++ +
=
−
++ ++
++ ++
++
++
+
=
−
++
=
+
++
++
=
+
10
1011
1
10
1011
1
[1 (0)]
[1 (0)][1(1)]
1
10
10
.
21
31
11
0
1
32
42
22
0
1
43
53
33
0
1
11
1
1
22
1
1
1
1
11
11
12 1
1
12 12
12 12
12
31
2
3
1
2
12 1
3
xx
xx
xix
xx
xx
xi
x
xx
xx
xi
x
xi x
xix
n
i
n
nn
nn
nn n
i
n
nn nn
nn nn
nn
nn
n
i
n
ni
i
n
nn
in
i
n
In other words,
∏
=−λ=
…+
=
−
xjxi n
i
j
i
[1 ()], 2, 3,
,1
12
0
2
∏
=−µ=
…+
++ +
=
−
xjxi n
ni n
j
i
[1 ()], 2, 3,
,1
122
0
2
11
System with Finite Time Restrained ◾ 107
∏
=−ρ=
…+
++++
=
−
xjxi n
nnin
j
i
[1 ()], 2, 3,
,1
223
0
2
12 1
∑
µ−
−=
++
=
+
xix
ni
i
n
[(1)
]0
11
1
1
1
2
xix
nn
in
i
n
∑
ρ−
−=
++
++
=
+
[(1)
]0
22
1
1
12 1
3
.
Su
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.