Abstract
This paper studies the transient behavior of a Switched Poisson Arrival Queue (SPAQ) under overload control. The queue has infinite buffer capacity with an exponential server. A switched Poisson process is used to represent an aggregated voice/data packet arrival process in integrated services networks. By overload control, we mean to properly adapt the arrival process once the buffer contents exceed a designated level. The probability distribution of queue length as a function of time is obtained. The temporal effect of the overload control is measured in two forms. While in overload, we measure the amount of time for the queue to fall into an underload period. While in underload, we measure the amount of time for the queue to rise to an overload period. a proper design of the control will not only reduce the fall time but also increase the rise time, to protect high priority and time constrained services. Our study provides important information to overload control design on packet switching networks. We also explore the transient queueing behavior as affected by time stochastic properties of the underlying two-state Markov chain for the arrival process.