SSAS: MDX Calculated Measures that Require Date Comparison

Often there is requirement to calculate measures based on two different date dimensions. For e.g. how many orders that were delivered this month was actually ordered last month? How many orders were delivered in the same month as they were ordered? How many orders were carried forward to next month?

Using MDX set functions EXISTS(),FILTER() and Range operator these calculations can be easily achieved provided the Date Dimension conform to same key columns.