Hi, I have a problem that can be abstracted as a modification of the knappsack problem. I need help to solve it. Imagine: Given a set of items I that have a meassure of dissimilarity amongst eachother: dis(Item1,Item2,Dissimilarity) Given a knappsack K, pack items from I into K so that the average dissimilarity amongst the packed items is minimized, to exclude trivial solutions one might state a constraint that the knappsack has to contain at least k elements. Later I'd like to expand this example to n knappsacks, whereby items should be allocated in such a way, that every item is packed to a knappsack and each knappsack has the lowest average dissimilarity possible. I would be really happy if someone could give me suggestions on how to solve it best. Best regards, Philipp MarcusReceived on Mon Apr 12 2010 - 11:36:42 CEST
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