Date dimension and multiple date columns in fact table

You can have multiple relationships between your Fact table and your Date Dimension table.

So a FACT table with [Order Date] , [Ship Date] and [Delivery Date] can all be related to your Date dimension.

Only one relationship can be Active!  You should set this to be the most common link.

Then you create measures per date action and use the DAX function called USERELATIONSHIP 

https://msdn.microsoft.com/en-us/library/hh230952.aspx

So a measure counting the number of deliveries will specify that the Inactive relationship is to be used for that particular calculation.

A bit of a pain but it's not as bad as it sounds.

Otherwise use an MDX cube and you will have no such issues :)