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Diffusion approximations for the cooperative service of voice and data messages

Published online by Cambridge University Press:  14 July 2016

J. P. Lehoczky  and
D. P. Gaver
J. P. Lehoczky*
Affiliation:
Carnegie–Mellon University
D. P. Gaver*
Affiliation:
Naval Postgraduate School
*
∗Postal address: Department of Statistics, Carnegie-Mellon University, Pittsburgh, PA 15213, U.S.A.
∗∗Postal address: Department of Operations Research, Naval Postgraduate School, Monterey, CA 93940, U.S.A.
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Abstract

A diffusion approximation is developed for a voice and data communication system. Voice traffic operates as an M/M/v/v loss system, while data is a Markovian queueing system with a random number of channels assigned. The data process is shown to be approximated by a certain Wiener process with reflecting barrier at 0. System behavior is described using this approximation. The methodology is based on the work of Burman (1979).

Keywords

VOICE-DATA COMMUNICATION SYSTEMDIFFUSION APPROXIMATIONREFLECTED BROWNIAN MOTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 3 , September 1981 , pp. 660 - 671
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Research supported by the National Science Foundation Grant ENG79–05526 and the Office of Naval Research, Contract Number N000 1480 WR00067.

References

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