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In the Internet, many applications use TCP (Transmission Control Protocol) as the main transport protocol. TCP congestion control algorithm has proved to be inadequate as the speed of the transmission links increases and users demand higher throughput. The main feature of TCP congestion control algorithm is its additive increase/multiplicative decrease (AIMD) property. AIMD requires very low packet loss rates, which is not possible with the present optical transmission links, in order to achieve higher throughputs. The proposed solutions for this problem fail to protect bandwidth share of the low throughput users. We propose that low and high throughput user traffic is stored in separate queues and the two queues are served according to the weighted-round-robin (WRR) service discipline. The simulation results show that this improves the performance of TCP over high-speed links and preserves fairness to the low-throughput users.