The single server queue and the storage model: Large deviations and fixed points

03 Oct 2017

We consider the coupling of a single server queue and a storage model defined as a queue/store model. We establish that if the input variables, arrivals at the queue and store, satisfy large deviations principles and are linked through an exponential tilting, then the output variables (departures from each system) satisfy large deviations principles with the same rate function.