Meanwhile it comes in the future some solution (high hopes to switch between tower/ground) at rush hours, I operate like this :
1-Priority over arrivals to clear exit runways to gates
2-Dispatch pushbacks to departures
3-Finally clear for takeoffs
The traffic waits long time (more than one hour) on runway head, but not difficults arrivals and pushbacks priorities.
The long tail at runway heads becomes slowly emptied, with the subsequent delays on departures.
From now any passenger hasn´t processed any claim. :)