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Consecutive Customer Loss Phenomenon due to Buffer Overflow in Finite Buffer Queueing System
Masaharu KOMATSU Kozo KINOSHITA
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 1993/10/25
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Queueing Theory
modeling and simulation, wueueing theory,
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In this paper, we will clarify the problem of consecutively lost customer due to buffer overflow in an IPP, M/M/l/K queueing system including an M1, M2/M/l/K queueuing system as a special case. We define a length of a consecutive loss as the number of customers consecutively lost due to buffer overflow. And, we obtain individual distributions of the lengths of consecutive losses for the IPP- and Markov-sources. From analytical and numerical results, it is shown that either they are geometrical or they can be approximated by a geometric distribution. Also, from numerical examples, we show some properties of the length of consecutive customer loss.