Deterministic Global Optimization
Subtitle: Theory, Methods and Applications
By: by Christodoulos A. Floudas
Series: Nonconvex Optimization and Its Applications -- 37; Nonconvex optimization and its applications -- 37.
Publisher: Springer US
Published: 2000
Place of publication: Boston, MA
Language: eng
Format: [electronic resource] :
Number of pages: 742
ISBN-13: 9781441948205; 9781475749496
Subjects: Mechanics; Civil engineering; Engineering; Chemical engineering; Mathematics; Mathematical optimization
Description: 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.
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