Database Reference
In-Depth Information
The general forms of steady-state probabilities to be in states (
k
,
h
), (
k
,
w
), and (
k
,
c
)
are given by
π
(
k
,
h
)
=
A
(
k
,
h
)
π
(0,0)
(18.1)
π
(
k
,
w
)
=
A
(
k
,
w
)
π
(0,0)
(18.2)
π
(
k
,
c
)
=
A
(
k
,
c
)
π
(0,0)
(18.3)
where 1 ≤
k
≤ (
N
− 2),
A
(
k
,
h
)
=
XYA
(
k
,
c
)
−
YZA
(
k
−1,
c
)
−
WA
(
k
−1,
w
)
=
YA
(
k
,
w
)
−
WA
(
k
−1,
w
)
(18.4)
A
(
k
,
w
)
=
X A
(
k
,
c
)
−
Z A
(
k
−1,
c
)
(18.5)
A
PXYPX
(
λδ
+
)
δ
P YZA
PWA
PXYPX
+
δ
h
(
k
−
1
, )
h
hh
(
k
−
1
,)
c
h
h
(
k
−
1
,
w
)
A
=
+
(18.6)
(,)
kc
δ
+
δ
+
δ
δ
+
δ
+
δ
hh
ww
c
hh
ww
c
δ
PZA
A
PXYPX
−
λ
ww
(
kc
−
1
,
)
(
kh
−
2
,)
+
δ
+
δ
+
δ
hh
ww
c
A
(−1,
h
)
= 1
(18.7)
λ
W
=
(18.8)
δ (
1
−
P
)
h
h
λδ
δ (
+
−
c
X
=
(18.9)
1
P
)
w
w
λδ
δ (
+
−
w
Y
=
(18.10)
1
P
)
h
h
λ
Z
=
(18.11)
δ (
1
−
P
)
w
w
Search WWH ::
Custom Search