Abstract: A methodology and concomitant circuitry for smoothing delay sensitive traffic utilizes short term traffic forecasts and guarantees meeting a prespecified delay constraint. The pattern of incoming traffic is used to forecast estimates of future incoming data from the present and past incoming data. Corresponding to the estimate is a data rate for propagating stored data to produce a smoothed outgoing data rate, and the interval of time over which such a rate is used so as to satisfy the delay constraint. The estimation procedure is then re-invoked at the end to the time interval, which takes into account data arriving during the time interval, so as to determine the next succeeding data rate and a new time interval for propagating stored data.