In this paper, we study the effect of statistical remultiplexing on improving bandwidth utilization of multiplexed MPEG signals. The study is done through simulation results of 2 and 12 channels of compressed bit stream feeds into a real-time rate remultiplexing systems with optimal combination of transcoding and buffering strategies. Our results indicates that larger number of channels, when rate remultiplexed together, results in reduced need for transcoding and improved overall video quality preservation.