Markov modulated periodic arrival process offered to an ATM multiplexer

Date
1993-11-12
Advisor
Instructor
Source Title
Proceedings of GLOBECOM '93. IEEE Global Telecommunications Conference
Print ISSN
Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
783 - 787
Language
English
Type
Conference Paper
Journal Title
Journal ISSN
Volume Title
Abstract

When a superposition of on/off sources is offered to a deterministic server, a particular queueing system arises whose analysis has a significant role in ATM based networks. Periodic cell generation during active times is a major feature of these sources. In this paper a new analytical method is provided to solve for this queueing system via an approximation to the transient behavior of the nD/D/1 queue. The solution to the queue length distribution is given in terms of a solution to a linear differential equation with variable coefficients. The technique proposed here has close similarities with the fluid flow approximations and is amenable to extension for more complicated queueing systems with such correlated arrival processes. A numerical example for a packetized voice multiplexer is finally given to demonstrate our results.

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Book Title
Keywords
Correlation methods, Differential equations, Mathematical models, Multiplexing equipment, Packet switching, Queueing theory, Random processes, Speech processing, State assignment, State estimation, Voice/data communication systems, Asynchronous transfer mode, ATM multiplexer, Markov modulated periodic arrival process, Periodic cell generation, Signal processing
Citation
Published Version (Please cite this version)