Kate Kochalski of the University of Virginia will speak as part of the R. W. Yeagy Colloquium series on Friday, December 2 at 2pm in Math Building 357.

**Abstract:** We consider a sequence of single server queues operating under a service policy that incorporates batches into processor sharing. There are measure-valued processes that describe each system in the sequence. Motivated by the law of large numbers from classical probability, we find a *fluid limit* of these processes. This is a limiting stochastic process that is easier to work with than the original stochastic processes. We can then use this simpler limiting object to approximate what happens in the system. In particular, we show the model is completely described by its initial state and each new batch will start in a predictable, periodic way. (flyer in PDF form)