Transient and Busy Period Analysis of the Gi/G/1 Queue, Vol. 1: The Method of Stages (Classic Reprint) - Softcover

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Excerpt from Transient and Busy Period Analysis of the Gi/G/1 Queue, Vol. 1: The Method of Stages

Transient and busy period analysis in queueing models have long been considered as very difficult problems. Yet, in many situations it is very important to study the transient behavior of queueing systems. For example, systems often encounter transient behavior due to exogenous changes, such as the opening or closing of a queueing system or the application of a new control. Furthermore, even in systems with time homogeneous behavior the convergence to steady state is so slow that the equilibrium behavior is not indicative of system behavior. Examples from practical situations, in which transient phenomena are important, include manufacturing sys tems with frequent start up periods and transportation systems with time varying demand (for example airport runway operations in major airports).

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