QUEUEING THEORY AND MODELING
Most of queueing theory deals with system performance in steady-state. That is, most queueing models assume that the system has been operating with the same arrival rate, average service time and other characteristics for a sufficiently long time that the probabilistic behavior of performance measures
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www.whitman.eduits steady state, if it exists. Thus, for simplicity’s sake, when we study a queuing system, we begin by assuming that the steady-state has already been reached. A birth-death process is a process wherein the system’s state at any t is a nonneg-ative integer. The variable λ j is known as the birth rate at state j and symbolizes