Buffering of Slow Terminals

B. Gopinath · J. A. Morrison

22 citations0/0 files storedBell System Technical Journal

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Age of Information Optimization

Abstract

In a previous paper, a model for queuing processes with correlated inputs was analyzed. To illustrate the application of those results, we model a concentrator of slow terminals. The sources of data, the terminals, generate data at a slower rate than the output speed of the buffer. In special cases, we obtain closed-form expressions for the generating function of the equilibrium queue size distribution. For the general case, we describe a computational procedure to obtain the distribution and the average of queue size in steady state. The numerical results obtained using this procedure are presented for a family of problems in which each message consists of two packets separated by a fixed time interval.

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References

1970Buffer Behavior for Batch Poisson Arrivals and Single Constant Output 1970Buffer Behavior for Poisson Arrivals and Multiple Synchronous Constant Outputs 1977Discrete-Time Single Server Queues with Correlated Inputs 1972Buffer Behavior for Mixed Input Traffic and Single Constant Output Rate

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1980Multiplexing Low-Speed Buffered Data Terminals 1992Performance of statistical multiplexers with finite number of inputs and train arrivals 1992Queueing systems for modelling ATM networks11Supported by NATO under grant n° CRG 900580

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