Goal:
Apply a fresh deployed cube in the production environment.
Problem:
How should I enable to discover any problem in the cube when it is updated automatic once a week before it will be applied in the production phase?
Information:
In this context, there is no possibility to apply a user acceptance test and thest phase before production phase. There is only test and production phase.
It sounds like you are having issues with data integrity/cleanliness. Users are human and will always enter bad data. Your job is to catch it before it causes an actual error. There are a few things you can do.
I don't think there is a good way to test the cube processing without just doing it, but I'm confident you can find a way to take care of most of these issues before it ever hits the production database.