Essays and Surveys in Global Optimization

• Corporate Author: SpringerLink (Online service)
• Other Authors: Audet, Charles (Editor), Hansen, Pierre (Editor), Savard, Gilles (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2005.
• Subjects: Business.; Operations research.; Decision making.; Computer mathematics.; Mathematical models.; Mathematical optimization.; Management science.; Industrial engineering.; Production engineering.; Business and Management.; Operation Research/Decision Theory.; Operations Research, Management Science.; Optimization.; Mathematical Modeling and Industrial Mathematics.; Industrial and Production Engineering.; Computational Mathematics and Numerical Analysis.

Global optimization aims at solving the most general problems of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addit...

Table of Contents:

• 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
• Bilevel Programming
• Applications of Global Optimization to Portfolio Analysis
• Optimization Techniques in Medicine
• Global Optimization in Geometry — Circle Packing into the Square
• A Deterministic Global Optimization Algorithm for Design Problems.