Proving Strong Duality for Geometric Optimization Using a Conic Formulation

François Glineur

Annals of Operations Research, 2001, vol. 105, issue 1, 155-184

Abstract: Geometric optimization 1 is an important class of problems that has many applications, especially in engineering design. In this article, we provide new simplified proofs for the well-known associated duality theory, using conic optimization. After introducing suitable convex cones and studying their properties, we model geometric optimization problems with a conic formulation, which allows us to apply the powerful duality theory of conic optimization and derive the duality results valid for geometric optimization. Copyright Kluwer Academic Publishers 2001

Keywords: geometric optimization; duality theory; conic optimization (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1013357600036

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