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Busy Period Analysis for the Discrete-time GI/Geo/1 Queue with Multiple Vacations
We consider the discrete-time GI/Geo/1 queue with multiple geometric vacations. We derive the joint probability generating function of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends.
Keywords
Busy Period Analysis, Component, Discrete-time Queue, General Input Queue, Multiple Vacations
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