I'd prefer to set up preferences within a client, but it happened the reason is not in GR settings.
The point was that in global settings (which are stored in global_prefs.xml file which is the folder with data for computation) there is a very wierd setting: <suspend_if_no_recent_input>0</suspend_if_no_recent_input> (that's already fixed one string). I see no sense in such a setting -- why computation should stop if computer is idle for 5 minutes??? After I chaged value to 0 -- everything went fine.
Actually, the subject: even if I'm leaving my laptop overnight, computation doesn't start after set idle time (in the morning I saw no progress in computation).