This paper presents a new method to control the delay performance for high rate heterogeneous real-time traffic flows based on a novel traffic control algorithm which is a generalization of traditional (σ, ρ) regulator. Our new control algorithm operates like the traditional regulator under the normal loading situation, but provides more regulation for the high rate (heavy load condition) of the traffic. For a set of heterogenous real-time traffic flows R, we can show that Dr(R) ≤ D(R) where Dr(R) and D(R) are the worst-case delay bounds with our new control algorithm and that with (σ, ρ) regulator, respectively. More specifically, we develop a set of formula that can be used to set the parameters in our new traffic controller so that the worst case delay bound is minimized by streaming the traffic flow. We can prove that there exists a minimum (average) input rate ρ∗ such that Dr(R) = D(R) for ρ ≤ ρ∗ and Dr(R) < D(R) for ρ > ρ∗ . Using the extended ...