Article ID Journal Published Year Pages File Type
1143350 Operations Research Letters 2010 6 Pages PDF
Abstract

In this paper, we study the transient behavior of a state dependent M/M/1/K queue during the busy period. We derive in closed-form the joint transform of the length of the busy period, the number of customers served during the busy period, and the number of losses during the busy period. For two special cases called the threshold policy and the static policy we determine simple expressions for their joint transform.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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