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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