Abstract
This chapter discusses exponential models for birth-and-death queueing systems. A number of queueing systems can be studied through birth–death processes. In such processes, transitions take place from one state only to a neighboring state. The chapter discusses the simplest queueing system M/M/1 through a simple alternative approach based upon the rate-equality principle that holds for systems in steady state. For the systems with limited waiting space, several models such as the M/M/1/K model, birth-and-death processes (exponential models), the M/M/∞ model, the M/M/c model, the M/M/c/c model (Erlang Loss model), model with finite input source, and transient behavior models are presented in the chapter.
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