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1This looks like a linear (or may be dynamic) programming problem, the guys at: math.stackexchange.com/?as=1 may be able to point you to a mathematically sound algorithm for it. Although such algorithms provide optimal solutions they require some background in the subject.NoChance– NoChance2012-04-25 20:25:20 +00:00Commented Apr 25, 2012 at 20:25
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@EmmadKareem: It definitely isn't linear programming (dynamic programming means something completely different). It might be integer linear programming, but I don't see how to write the cost function as linear and even if it was, integer linear programming is NP-hard anyway.Jan Hudec– Jan Hudec2012-04-26 07:51:23 +00:00Commented Apr 26, 2012 at 7:51
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