V-uniform Ergodicity for State-dependent Single Class Queueing Networks*
Apr 19, 2010 - 4:15 PM
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V-uniform Ergodicity for State-dependent Single Class Queueing Networks*
| Date: | Monday, April 19 |
| Time: | 4:10 pm -- 5:00 pm |
| Place: | 204 Carver |
| Speaker: | Chihoon Lee, Department of Statistics, Colorado State U |
Abstract:
We consider single class queueing networks with state-dependent arrival and service rates.
Under the uniform (in state) stability condition, it is shown that the queue length process is V-uniformly ergodic; that is, it has a transition probability kernel which converges to its limit geometrically quickly in the V-norm sense. Among several asymptotic properties of V-uniformly ergodic processes, we present a Strassen-type functional law of the iterated logarithm result.
*This is a Joint Seminar with Department of Mathematics