I'm not sure if this has already been covered. But something that bugged me was it still said I was online when I exited the admin page. I suppose you dont want this when u have more than one operator.
Go to -> operator -> logout.php
above...
logout_operator();
add...
$operator = check_login();
$status = 1;
notify_operator_alive($operator['operatorid'], $status);
Hope it helps.