Deterministic Global Optimization: Theory, Methods and Applications: 37 (Nonconvex Optimization and Its Applications) - Hardcover

Reseña del editor

The vast majority of important applications in science, engineering and applied science are characterized by the existence of multiple minima and maxima, as well as first, second and higher order saddle points. The area of Deterministic Global Optimization introduces theoretical, algorithmic and computational ad­ vances that (i) address the computation and characterization of global minima and maxima, (ii) determine valid lower and upper bounds on the global minima and maxima, and (iii) address the enclosure of all solutions of nonlinear con­ strained systems of equations. Global optimization applications are widespread in all disciplines and they range from atomistic or molecular level to process and product level representations. The primary goal of this book is three fold : first, to introduce the reader to the basics of deterministic global optimization; second, to present important theoretical and algorithmic advances for several classes of mathematical prob­ lems that include biconvex and bilinear; problems, signomial problems, general twice differentiable nonlinear problems, mixed integer nonlinear problems, and the enclosure of all solutions of nonlinear constrained systems of equations; and third, to tie the theory and methods together with a variety of important applications.

Reseña del editor

This book provides a unified and insightful treatment of deterministic global optimization. It introduces theoretical and algorithmic advances that address the computation and characterization of global optima, determine valid lower and upper bounds on the global minima and maxima, and enclose all solutions of nonlinear constrained systems of equations.
Among its special features, the book:

• Introduces the fundamentals of deterministic global optimization;
• Provides a thorough treatment of decomposition-based global optimization approaches for biconvex and bilinear problems;
• Covers global optimization methods for generalized geometric programming problems
• Presents in-depth global optimization algorithms for general twice continuously differentiable nonlinear problems;
• Provides a detailed treatment of global optimization methods for mixed-integer nonlinear problems;
• Develops global optimization approaches for the enclosure of all solutions of nonlinear constrained systems of equations;
• Includes many important applications from process design, synthesis, control, and operations, phase equilibrium, design under uncertainty, parameter estimation, azeotrope prediction, structure prediction in clusters and molecules, protein folding, and peptide docking.

Audience: This book can be used as a textbook in graduate-level courses and as a desk reference for researchers in all branches of engineering and applied science, applied mathematics, industrial engineering, operations research, computer science, economics, computational chemistry and molecular biology.