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This paper presents a new traffic management algorithm able to meet the requirements of high speed networks where the speed of ingress traffic can exceeds 10 Gbps. Our newly algorithm, called HRED (high speed RED) is based on the well known algorithm RED (random early detection) algorithm with several enhancements. Unlike other existing enhancements for RED which are found in the literature, our proposed changes leads to an algorithm which outperforms the existing ones in terms of packet drops. The authors present in this paper a series of simulation results demonstrating this fact. Also, the authors developed an efficient heuristic used in the hardware implementation of the algorithm and proved that this heuristic diminishes the response time of the algorithm. The reason for which we claim it's suitability for high speed networks.