Markov modulated periodic arrival process offered to an ATM multiplexer
Author
Akar, Nail
Arıkan, Erdal
Date
1993-11-12Source Title
Proceedings of GLOBECOM '93. IEEE Global Telecommunications Conference
Publisher
IEEE
Pages
783 - 787
Language
English
Type
Conference PaperItem Usage Stats
185
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130
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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.
Keywords
Correlation methodsDifferential 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
Permalink
http://hdl.handle.net/11693/27802Published Version (Please cite this version)
https://doi.org/10.1109/GLOCOM.1993.318187Collections
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