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In the advanced generalized conservative staircase (AGCS) method, the video segments are arranged in groups. The first group contains first segment, second group contains next two segments, and pth group (p > 2) contains 3 * 2p-3 number of segments starting with kth segment Sk, where k = 3 * 2p-3 + 1. Each segment of pth group (p > 2) is divided into 3 * 2p-3 * mp + mp - 1 subsegments, where mp determines the number of subsegments of a segment in pth group that are transmitted in a time slot. The subsegments are arranged in mp disjoint sets. The first set consists of subsegments Sq+i,1, Sq+i,2, ..., Sq+i,q, where q = 3 * 2p-3, 1 les 1 les q, and zth set (1 < z < mp) consists of subsegments Sq+i,q*(z-1)+z-1, Sq+i,q*(z-1)+z, Sq+i,q*(z-1)+z+1, ..., Sq+i,q*z+z-1. In the AGCS method, an upper bound on mp has been derived to provide continuous data. If larger value of mp than its upper bound is taken, then the method will not provide continuous data. But, increasing the value of mp decreases the bandwidth requirement, which in turn gives better method. In this paper, we discuss a scheme that removes the bound on mp and still provides the continuous video data to users.