Essays and Surveys in Global Optimization

In a series of topical chapters, the first section of the book appraises the mathematical properties and algorithms for general global optimization problems. These include chapters on "Unilateral Analysis and Duality"; "Monotonic Optimization: Branch and Cut Methods"; "Duality Bound Methods in Global Optimization"; "General Quadratic Programming"; "On Solving Polynomial, Factorable, and Black-Box Optimization Problems using the RLT Methodology"; and "Bilevel Programming." The book’s second section offers a variety of current application chapters where global optimization has been applied to assorted problems in diverse fields. These include chapters on "Application of Global Optimization to Portfolio Analysis"; "Optimization Techniques in Medicine"; "Global Optimization in Geometry—Circle Packing into the Square"; and "A Deterministic Global Optimization Algorithm for Design Problems."

The topics presented in this volume, ESSAYS AND SURVEYS IN GLOBAL OPTIMIZATION, attest to the successes of researchers in the field, the power of its methods, the diversity of its applications and the variety of the ideas and research poles it explores.