Loss probability in a finite queue with service interruptions and queue length distribution in the corresponding infinite queue

Authors:
Fumio Ishizaki
Affiliations:
Department of Mathematics and Telecommunication Mathematics Research Center, Korea University, Sungbuk-gu, Seoul, Republic of Korea
Venue:
Performance Evaluation
Year:
2006

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Abstract

In this paper, we consider a discrete-time finite-buffer queue with correlated arrivals and service interruptions and the corresponding infinite-buffer queue. Under some assumptions, we derive an exact relation holding between the loss probability in the finite-buffer queue and the queue length distribution in the corresponding infinite-buffer queue. The exact relation is considered as an integration/generalization of the exact relations which have been derived in previous papers. By applying the exact relation, we also develop formulas to estimate the loss probability.