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Dynamic bandwidth allocation (DBA) is a key issue of Ethernet PONs. In order to get higher resource utilization and lower packet delay, the problem is always dissolved into grant sizing and grant scheduling. In this paper, we explore grant scheduling techniques. We propose a modified hybrid online and offline scheduling with the shortest propagation delay (SPD) first policy (we named HSPD) which can compensate for the idle time under light or medium loaded traffic. Meanwhile, the last ONU infatcat:yyhfj34zcrfmxmzn6omz2g6q3i