Dear Allstat members,
I have a problem which looks a bit like the "Assignment Problem", but I can't find an algorithm that will do what I need. Specifically:-
I am trying to pair up two groups (optimising on a vector of variables for each item for which the 'distance' can be computed by least-squares, for instance). Group 1 is already allocated and the number of items, N=100. For Group 2 I must include X=50 of the items (although I have not yet paired them up). The remaining 50 items in Group 2 can be selected from a pool of 100 potenital group 2 items. The problem is to optimise the final pair of 100 items such that the total difference between the pairs is minimised.
Can anyone help me find an algorithm for this?
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