Article ID: | iaor20023006 |
Country: | Netherlands |
Volume: | 105 |
Issue: | 1 |
Start Page Number: | 155 |
End Page Number: | 184 |
Publication Date: | Jul 2001 |
Journal: | Annals of Operations Research |
Authors: | Glineur Franois |
Keywords: | duality |
Geometric optimization 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.