A Theorem on Strict Separability of Convex Polyhedra and Its Applications in Optimization

A Theorem on Strict Separability of Convex Polyhedra and Its Applications in Optimization

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Article ID: iaor20111978
Volume: 148
Issue: 3
Start Page Number: 550
End Page Number: 570
Publication Date: Mar 2011
Journal: Journal of Optimization Theory and Applications
Authors:
Keywords: optimization
Abstract:

We propose a new approach to the strict separation of convex polyhedra. This approach is based on the construction of the set of normal vectors for the hyperplanes, such that each one strict separates the polyhedra A and B. We prove the necessary and sufficient conditions of strict separability for convex polyhedra in the Euclidean space and present its applications in optimization.

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