Flow and congestion control: modeling and analysis
Jan A. van Casteren, Ming Shao, Marnix Goossens · 2002
In order to model and analyze the data traffic behaviors with feedback mechanism in high-speed data communication system, we start from the feedback control model proposed by Izmailov (1996), which is based on differential delay equations. However, instead of specifying the processing rate to be constant, we extend it to a general functional model. We also add a random item for describing the uncertainties in a real communication system. We analyze the stability of the system with these models. Theoretically, the results show that the system can be stabilized and that the buffer size can be controlled even if the system is suffering from a large delay or has variations in its delay, or if some other uncertain situations are present.