mp3 http streaming：同时录制和播放

I have a server (linux) program that generates audio files (mp3). What I need is to broadcast these files using http stream. The tricky part is that the broadcast starts when the file to be transmitted is not fully generated. I tried to do this using mpd+mpc but once I use the "mpc play" command only already existing part of the file is buffered and transmitted, and the player disregards the part that appears after beginning of playback. Is there any way to send a mp3 http stream (using mpd or any other server-side player) so that the player won't stop the playback as it reaches the end of the part that was buffered initially? Any ideas, please.I have a server (linux) program that generates