Im afraid not, its kind of goofy really.
The only thing Ive been able to figure out is that if you put people in the damage control stations, then sort the things you want fixed into the 'que' (last in first fixed) they sort of fix things in that order.
However you do not have to have people in DC station for things to get repaired
.
Lastly things seem to get repaired more quickly if you go to general quarters.
I have yet to see a definative description as to how this system acutally works these are just my impressions.
To add to the confusion sometimes things get 'repaired' yet they arent fully repaired, Batteries are a good example. Have them slightly damaged, they get repaired yet they wont take a full charge... ever... leaving you to manually cut off battery charging.
