Density evolution method for continuous fractal M/M/1 traffic models

Authors :: Zhiyong Bu
Yuefang Huang
Yong Xiong
Dinghua Shi
Source :: 2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914).
Publication Year :: 2004
Publisher :: IEEE, 2004.
Abstract: The paper discusses continuous fractal M/M/1 traffic models by combining the density evolution method with fractal-chaos function theory. We use fractal-chaos functions to control the input process of queueing models. By setting up and carrying out density evolution equations, we obtain the limiting probability of the number of packets in the system with invariant measures. Simulation results are obtained showing a heavy tailed property.

Subjects :: Discrete mathematics
Queueing theory
Fractal
Stochastic process
M/G/k queue
M/M/1 queue
M/G/1 queue
M/M/c queue
Statistical physics
Heavy traffic approximation
Mathematics

Database :: OpenAIRE
Journal :: 2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914)
Accession number :: edsair.doi...........7e07a85e39bbdfb5fd4a2096dc017f1c

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