IEICE Trans - Consecutive Customer Loss Phenomenon due to Buffer Overflow in Finite Buffer Queueing System

Consecutive Customer Loss Phenomenon due to Buffer Overflow in Finite Buffer Queueing System

Masaharu KOMATSU  Kozo KINOSHITA

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E76-A   No.10   pp.1781-1789
Publication Date: 1993/10/25
Online ISSN:
DOI:
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Queueing Theory
Keyword:
modeling and simulation,  wueueing theory,

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Summary:
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.