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The output of a buffered data communication system

Author

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  • Rubinovitch, Micheal

Abstract

The output process in a buffer-multiplexer data communication system with N identical input lines and one output line is considered. It is assumed that the rate of transmission on the input lines and on the output line is 1, that idle periods on the input lines follow an exponential distribution, and that active periods are allowed to have an arbitrary distribution function. The main result is that active periods on the output line follow the same distribution function as the busy period in a certain M/G/1 queue. First passage times from any state of the system to complete idleness are also considered and their Laplace transforms are derived.

Suggested Citation

  • Rubinovitch, Micheal, 1973. "The output of a buffered data communication system," Stochastic Processes and their Applications, Elsevier, vol. 1(4), pages 375-382, October.
    • Handle: RePEc:eee:spapps:v:1:y:1973:i:4:p:375-382
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    Cited by:

    1. Onno Boxma & Mahmut Parlar & David Perry, 2015. "A make-to-stock mountain-type inventory model," Annals of Operations Research, Springer, vol. 231(1), pages 65-77, August.

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