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Journals ACM SIGMETRICS Performance Evaluation Review Volume 16 Issue 2-4

The buffer needed to match the transmission speeds of two different local area networks interconnected by a MAC-layer bridge is modeled as a G/M/1 queue. To account for the problems caused by the arrivals of traffic bursts from the higher-speed network, traffic interarrival times are assumed to follow a hyperexponential probabilty density function. Selecting parameters for the hyperexponential distribution to model realistic traffic conditions is examined. A hypothetical bridge is discussed as an example. Queue length for the G/M/1 system with hyperexponential interarrivals is shown to depend primarily on the persistence of bursts on the higher-speed network.

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A queueing model for local area network bridges

Irvin, David R.
ACM SIGMETRICS Performance Evaluation Review , Volume 16 (2-4)
Association for Computing Machinery – Feb 1, 1989

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