Efficient window flow control for high speed data networks with small buffers

As the transmission speeds of emerging data networks scale up, the effects of propagation delays, which do not scale, become quite consequential for the design of sliding windows which are needed for congestion control. It was previously shown that optimal window lengths grow linearly with transmission speed , thus making the cost of memory for buffers a major factor. However, it was slao shown that the moments of the number of packets in the buffers are only , the remaining packets are in the course of being propagated. This fact underlines the proposal made here which requires small buffers and yet guarantees that the ratio of the realized throughput to the ideal throughput approaches unity with increasing . That is, buffers when properly sized overflow so rarely that even with a rudimentary (conversely, easily implemented) protocol like go-back-n, the loss in the throughput due to retransmissions is neglibible. This result is arrived at by obtaining an explicit charcterization for large of the tail of the distribution of buffer occupancy in the closed network with window sized buffers; in the case of a single-hop virtual circuit the characterization is by a Gaussian conditioned to be nonnegative. Numerical and simulation results are presented to corroborate the performance predictions of the theory for the case of 45 Mbits/sec transmission speed.