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A new user scheduling strategy is proposed for multiuser MIMO system with random unitary beamforming (RUB) in this paper. This strategy imposes a threshold on the signal to interference and noise ratio (SINR) of mobile users to reduce the feedback load. The basestation only uses those beams that are requested by feedback users. The exact analytical expression of the sum rate of proposed strategy is developed, based on which the threshold is optimized to maximize the sum rate. With optimal thresholds, we demonstrate through numerical examples that the proposed strategy achieve a better sum-rate performance than existing scheduling strategies over high SNR region.