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

Z. R. Gabidullina ()
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Z. R. Gabidullina: Kazan (Volga Region) Federal University, 18

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 3, No 7, 550-570

Abstract: 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.

Keywords: Polyhedron; Separating hyperplane; Normal vector; Supporting hyperplane; Thickness of the separation margin; Distance between the polyhedra (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10957-010-9767-1

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