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In a shared buffer packet switch, proper buffer management schemes are needed to improve the fairness of buffer usage among different output queues and the overall packet loss probability. We propose a dynamic thresholds buffer management scheme called partial sharing and partial partitioning (PSPP). The PSPP scheme could be viewed as the combination of complete sharing (CS) and complete partitioning (CP) schemes with dynamic buffer adjustability. From computer simulation, it was found that the fairness of the PSPP is better than the CP and CS techniques under various traffic conditions, even without re-tuning the control threshold. Also, compared with CS and CP, the overall loss performance of PSPP control is very robust to traffic condition changes.