Periodic broadcasting can be used to support near-video-on-demand for popul
ar videos. For a given bandwidth allocation, pyramid broadcasting schemes s
ubstantially reduce the viewer latency (waiting) time compared to conventio
nal broadcasting schemes. Nevertheless, such pyramid schemes typically have
substantial storage requirements at the client end, and this results in se
t-top boxes needing disks with high transfer rate capabilities. In this pap
er, we present a permutation-based pyramid scheme in which the storage requ
irements and disk transfer rates are greatly reduced, and yet the viewer la
tency is also smaller. Under the proposed approach, each video is partition
ed into contiguous segments of geometrically increasing sizes, and each seg
ment is further divided into blocks, where a block is the basic unit of tra
nsmission. As in the original pyramid scheme, frequencies of transmission f
or the different segments of a video vary in a manner inversely proportiona
l to their size. Instead of transmitting the blocks in each segment in sequ
ential order, the proposed scheme transmits these blocks in a prespecified
cyclic permutation to save on storage requirements in the client end. Perfo
rmance analyses are provided to quantify the benefits of the new scheme.