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On the Buffer Behavior with Poisson Arrivals, Priority Service, and Random Server Interruptions

Published: 01 October 1981 Publication History

Abstract

A discrete buffered system with infinite buffer size, multiple Poisson arrival streams, priority service, and random server interruptions is considered. The queueing times of the data packets of different priority classes are derived using the concepts of delayed busy cycle and level crossing analysis. The results of this study can be used as a guidelines for the buffer design in digital systems.

References

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N. M. Dor, "Guide to the length of buffer storage required for random (Poisson) input and constant output rates," IEEE Trans. Electron. Comput., vol. EC-16, pp. 683-684, 1967.
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W. W. Chu, "Buffer behavior for Poisson arrivals and multiple synchronous constant outputs," IEEE Trans. Comput., vol. C-19, pp. 530-534, 1970.
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W. W. Chu, "Buffer behavior for batch Poisson arrivals and single constant output," IEEE Trans. Commun. Technol., vol. COM-18, pp. 613-618, 1970.
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D. N. Sherman, "Storage and delay estimates for asynchronous multiplexing of data in speech," IEEE Trans. Commun. Technol., vol. COM-19, pp. 551-555, 1971.
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J. Hsu, "A general queueing model for buffer storage problems," IEEE Trans. Commun., vol. COM-21, pp. 744-747, 1973.
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J. Hsu, "Buffer behavior with Poisson arrival and geometric output processes," IEEE Trans. Commun., vol. COM-22, pp. 1940-1941, 1974.
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N. D. Georganas, "Buffer behavior with Poisson arrivals and bulk geometric service," IEEE Trans. Commun., vol. COM-24, pp. 938-940, 1976.
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H. B. Kekre and C. L. Saxena, "Finite buffer behavior With Poisson arrivals and random server interruptions," IEEE Trans. Commun., vol. COM-26, pp. 470-474, 1978.
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T. S. Heines, "Buffer behavior in computer communication systems," IEEE Trans. Comput., vol. C-28, pp. 573-576, 1979.
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J. G. Shanthikumar, "Level crossing analysis of single server on-off queueing models," paper submitted to Comput. Soc. Repository, 1980.
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D. P. Heyman, "A priority queueing system with server interference," SIAM J. Appl. Math., vol. 17, pp. 74-82, 1969.
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J. G. Shanthikumar, "Comments on 'The buffer behavior in computer communication systems,'" IEEE Trans. Comput., vol. C-30, pp. 157, Feb. 1981.

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    Published In

    cover image IEEE Transactions on Computers
    IEEE Transactions on Computers  Volume 30, Issue 10
    October 1981
    118 pages

    Publisher

    IEEE Computer Society

    United States

    Publication History

    Published: 01 October 1981

    Author Tags

    1. Buffer blocking
    2. buffering
    3. communications
    4. data transmission
    5. level crossing analysis
    6. periodic service
    7. queueing theory

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