Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1143350 | Operations Research Letters | 2010 | 6 Pages |
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
Authors
Ahmad Al Hanbali, Onno Boxma,