From your server's event log (login as "admin" in your Centova Cast control panel and then click on the "Logs" menu item) you should first determine whether it's the server software (Shoutcast/Icecast) that is restarting or the autoDJ (ices-cc/sc_trans).
After you have determined which piece of software is being affected, you should check the affected station(s) logs to find out exactly why is the station crashing/restarting. For the server software (i.e Shoutcast/Icecast) check error.log, and for the autoDJ (sc_trans/Ices) check autodj.log, make sure to match the time-stamp from the station's logs to the latest restart event registered in your admin event log.