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