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> Problems with variables that are constrained to be integer can take much longer, but they are orders of magnitude more efficient today than a few years ago.

Yet, they are still NP-complete.



Doesn't mean that you can't write efficient heuristics that find close-to-optimal or even optimal solutions for a wide variety of practical instances.


Indeed. Unless we prove P=NP, technology will only help re-define what "practically solvable" problems are.




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