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More than than fifty new active queue management (AQM) algorithms have been proposed since 1999. However, none of them address the inter-server fairness problem. This letter describes the inter-server fairness problem in conventional AQM, and presents a group-based virtual queue algorithm, called GVQ, as a novel AQM approach to solve this problem. The queue complexity and performance of GVQ are evaluated by analysis. The validity of the analytical result and the effectiveness of GVQ are confirmed through ns-2 simulations.