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Asymptotic Analysis for Buffer Behavior in Communication Systems

Published online by Cambridge University Press:  27 July 2009

H. C. Tijms  and
J. C. W. Van Ommeren
H. C. Tijms
Affiliation:
Institute for Econometrics Vrije Universiteit Amsterdam, The Netherlands
J. C. W. Van Ommeren
Affiliation:
Institute for Econometrics Vrije Universiteit Amsterdam, The Netherlands
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Abstract

An important problem in computer communication systems is the design of finite buffers such that a small overflow probability is achieved. For the case of batch input and general service times, we derive an asymptotically exponential expansion for the overflow probability when the batch-arrival process is Poissonian. Next, the results are extended to handle applications with periodic service opportunities and random interruptions in service. A convenient model to handle these types of applications is the versatile queueing model with exceptional first services.

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Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 3 , Issue 1 , January 1989 , pp. 1 - 12
Copyright
Copyright © Cambridge University Press 1989

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References

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