Web Reference: Integer programming is NP-complete [1] (the difficult part is showing the NP membership [2]). In particular, the special case of 0–1 integer linear programming, in which unknowns are binary, and only the restrictions must be satisfied, is one of Karp's 21 NP-complete problems. Learn about integer programming, a type of optimization problem where decision variables must be integers. See examples of integer programs in capital budgeting, knapsack, and warehouse location problems, and explore methods for solving them. Learn what integer programming (IP) is, how to formulate IP models, and how to solve them with various methods. This web page covers the basics of IP, LP relaxation, 0–1 IP, and enumeration.
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