Analysis of a Geom/G/1 Queue with General Limited Service and MAVs
نویسندگان
چکیده
Abstract In this paper, we present an analysis for a general limited service Geom/G/1 queue model with multiple adaptive vacations (MAVs). The Probability Generating Function (P.G.F.) of the queue length is obtained by using an embedded Markov chain with a regeneration cycle approach. The P.G.F. of the waiting time is also derived based on the independence between the arrival process and the waiting time. The probabilities for the system being in various states, such as “busy", “idle" and “vacation", are also derived.
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تاریخ انتشار 2008