256 ◾ System Instantaneous Availability
…
…
…
∑∑∑
[] []
()
()
() ()
()
()
=+ −λ
+−µ
ρ
λ=−α =−λ=
µ=−α =−µ=
ρ=−α =−ρ=
=
−
=
−
=
−
=
+
=
+
=
+
+−
+−
+−
β
β
β
β
β
β
31() 1(
()
1,0,1, 2, 1, 1
1,0,1, 2, 1, 1
1,0,1, 2, 1, 1.
0
2
0
2
0
2
2
1
2
1
2
1
1
(1)
11
2
(1)
3
(1)
33
3
21
1
1
2
2
3
3
Dj
kknn
kknn
kknn
j
i
j
i
j
i
i
n
i
n
i
n
kk
kk
kk
9.3.1 Design of System Minimum Availability Amplitude
Generally, any new equipment systems want minimized fluctuation in instanta-
neous availability in order to maintain the steady-state availability, even though the
availability amplitude decreases. erefore, the minimum availability amplitude
design can be described by the following optimization model:
Ak
k
αβαβαβ =−
()
αβαβαβ ∈Ω
Min,,,,, min
,, ,,,
11 22 33
11 2233 1
(9.6)
s.t. Formulas 9.3 through 9.5 a ...