On the Analysis of Exponential Queuing Systems with Randomly Changing Arrival Rates: Stability Conditions and Finite Buffer Scheme with a Resume Level

Realistic considerations of certain stochastic service systems often warrant the introduction of random changes in the intensity of the input process. A typical example of a changing arrival rate system is a communicat ion network with a sudden unpredictable increase in the traffic due to an external phenomenon. Such a situation can occur in a telephone network where a switching exchange node has crashed which results in an in-