Observations on Equation-Based Rate Control

We consider unicast equation based rate control defined as follows. A source adjusts its rate primarily at loss events to f(p) where p is an estimator of loss event ratio. Function f is typically the loss-throughput formula of a TCP source. In absence of loss events, the send rate can be also increased by an additional mechanism. We suppose the estimator is unbiased estimator of the loss event interval (amount of data sent between two consecutive loss events). Indeed, for the loss event intervals fixed to some value, the throughput x satisfies x=f(p). However, if loss process is random, it is not clear how the throughput would relate to f(p). If x