Time to Reach Buffer Capacity in a BMAP Queue

In this paper a detailed study is presented on the first time to reach buffer capacity in a queue with batch arrivals and general service time distribution. A flexible analytical model of the input stream, which is the Batch Markovian Arrival Process (BMAP), is assumed. The results include the expli...

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Bibliographic Details
Published in:	Stochastic models Vol. 23; no. 2; pp. 195 - 209
Main Author:	Chydzinski, Andrzej
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Taylor & Francis Group 08.05.2007 Taylor & Francis
Subjects:	BMAP/G/1/b queue Buffer overflow time Distribution theory Exact sciences and technology Inference from stochastic processes; time series analysis Mathematics Probability and statistics Probability theory and stochastic processes Sciences and techniques of general use Statistics Stochastic analysis Stochastic processes Transient analysis Stochastic model Probability theory Arrival time 68M20; 90B22; 60K25 Time distribution Service time Arrival process Distribution function Stream Laplace transformation Buffer overflow time; BMAP/G/1/b queue; Transient analysis Application Batch arrival Queue
ISSN:	1532-6349, 1532-4214
Online Access:	Get full text
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