New Sufficient Conditions for a HT Limit Theorem
Theorem (W ‘98) Assume
(i) multiplicative state space collapse
(ii) the reflection matrix R is well defined and completely-S.
Then
where W* is a SRBM with pushing
process Y* and Z* = W*.
New Examples
FIFO Kelly type and HLPPS networks
(Example of Dai-Wang-Wang: FIFO Kelly type network with no continuous mapping construction of SRBM)
(
$
,
$
,
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)
(
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*
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*
W
Y
Z
W
Y
Z
r
r
r
Þ
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