Heavy Traffic Limit forMulticlass FIFO Station
Sequence of systems:
Rescale workload and queuelength:
Heavy traffic limit theorem:
Z
$
(
)
(
)
/
W
t
W
r
t
r
r
r
=
2
$
(
)
(
)
/
Z
t
Z
r
t
r
k
r
k
r
=
2
(
$
,
$
)
(
,
)
*
*
W
W
Z
r
r
Þ
W*
RBM
Z*
W*
=
-
=
1
dim
l
1
W
X
Y
*
*
*
=
+
Y
t
X
s
*
*
(
)
max(
(
))
=
-
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