Rate control of multi class priority flows with end-to-end delay and rate constraints for QoS networks

To address end-to-end quality of service (QoS) requirements, we derive a novel distributed combined rate and end-to-end delay control in a network serving multi-class flows with priority packet scheduling. We show that the control is globally asymptotically stable without information time lags. The stable flows attain the end-to-end delay requirements and have no packet loss. We also show that by enhancing the network with bandwidth reservation and admission control, minimum rate is also guaranteed. The stability with very long time lags of a discrete time version control with non-greedy flows and random packet arrivals is studied numerically by an NS2 packet-based simulation of the Australian Academic and Research Network.