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Handbook of Automated Reasoning by Andrei Voronkov, Alan J.A. Robinson

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3.3 Cutting planes

Consider the integer linear optimization or integer linear programming problem

max { c T x | A x b , x n } , A m × n , b m .

si190_e   (3.12)

An important consequence of Theorem (3.3) is that for a rational polyhedron P = { x F n | A x b } si191_e , the convex hull of the set of integer points S = Pimages n in P is again a rational polyhedron. Therefore, in principle, the integer linear optimization ...

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