For some reason, some of the text in my reply was deleted. Here is another attempt. My write-up is purposely simplified. I have used this approach with more general constraints like you mention, including that a prospect may receive at most k offers where k is greater than one. My approach does have some math overhead in terms of deriving the appropriate dual problem and changing SAS code accordingly. This is not a big deal, but it is of course unnecessary with commercial optimizers like SAS Marketing Optimization. On the other hand, PROC NLP is available to any SAS/OR subscriber.
... View more
