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The throughput time delay function of an M/M/1 queue (Corresp.)

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1 Author(s)

A study of the design requirements of the data link control protocol leads us to consider a throughput time delay criterion as a performance measure for optimal flow control of computer communication networks. A closed network model consisting of a \cdot /M/1 queuing system (the receiver node) controlled by an exponential queuing system with variable rate (the source node) is considered. The flow control maximizing the throughput of the M/M/1 queuing system in equilibrium under a bounded average time delay criterion is shown to be a window flow control mechanism. The window size L can be easily derived from the maximum tolerated average time delay T and the maximum offered load c . The dependence of the maximum throughput on the average time delay is also analyzed.

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Information Theory, IEEE Transactions on  (Volume:29 ,  Issue: 6 )