Busy period analysis of the level dependent PH/PH/1/K queue |
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Authors: | Ahmad Al Hanbali |
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Institution: | (1) INRIA, BP93, 06902 Sophia Antipolis, France |
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Abstract: | In this paper, we study the transient behavior of a level dependent single server queuing system with a waiting room of finite
size during the busy period. The focus is on the level dependent PH/PH/1/K queue. 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. We differentiate between two types of losses: the overflow losses that are due to a full queue and the losses
due to an admission controller. For the M/PH/1/K, M/PH/1/K under a threshold policy, and PH/M/1/K queues, we determine simple
expressions for their joint transforms. |
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Keywords: | |
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