AppleSearch has a limit of 50 simultaneous user connections, in other words, users logged into AppleSearch. See page 50 of the "AppleSearch Administrator's Guide."
As of March, 1995 there is no mechanism that would terminate inactive AppleSearch clients from the server. Scheduled reporters and the way they work make terminating inactive clients difficult to implement. This is because users need to be connected to the server in order to receive the data obtained from a scheduled reporter, so users could be inactive for extended periods of the time.