The superposition of variable bit rate sources in an ATM multiplexer

When variable-bit-rate sources are multiplexed in an asynchronous transfer mode (ATM) network, there arise queues with a particular form of correlated arrival process. Such queues are analyzed by exploiting a result expressing the distribution of work in system of the G/G/1 queue originally derived...

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Bibliographic Details
Published in:IEEE journal on selected areas in communications 1991-04, Vol.9 (3), p.378-387
Main Authors: Norros, I., Roberts, J.W., Simonian, A., Virtamo, J.T.
Format: Article
Language:English
Subjects:
Applied sciences
Asynchronous transfer mode
Bit rate
Communication switching
Digital communication
Exact sciences and technology
Frequency
Helium
Intelligent networks
Multiplexing
Queueing analysis
Speech processing
Systems, networks and services of telecommunications
Telecommunications
Telecommunications and information theory
Teletraffic
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Summary:When variable-bit-rate sources are multiplexed in an asynchronous transfer mode (ATM) network, there arise queues with a particular form of correlated arrival process. Such queues are analyzed by exploiting a result expressing the distribution of work in system of the G/G/1 queue originally derived by V.E. Benes (1963). A simple alternative demonstration of this result is analyzed and extended to the case of fluid input systems. The result is applied first to a queue where the arrival process is a superposition of periodic sources (the Sigma D/sub i//D/1 queue), and then to a variable-input-rate constant-output-rate fluid system. The latter is shown to model the so-called burst component of the considered superposition queuing process. The difference between this and the real queue, the cell component, can be evaluated by means of the results obtained for the Sigma D/sub i//D/1 queue. The relative importance of these two components is explored with reference to the particular case of a superposition of on/off sources.< >
ISSN:0733-8716
1558-0008
DOI:10.1109/49.76636