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Deterministic Global Optimization : Theory, Methods and Applications

Author: Christodoulos A Floudas
Publisher: Boston, MA : Springer US, 2000.
Series: Nonconvex optimization and its applications, 37.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Christodoulos A Floudas
ISBN: 9781475749496 147574949X
OCLC Number: 851794022
Language Note: English.
Description: 1 online resource (xvii, 742 pages)
Contents: 1. Introduction --
2. Basic Concepts of Global Optimization --
I Biconvex and Bilinear Problems --
3. The GOP Primal --
Relaxed Dual Decomposition Approach: Theory --
4. The GOP Approach: Implementation and Computational Studies --
5. The GOP Approach in Bilevel Linear and Quadratic Problems --
6. The GOP Approach in Phase and Chemical Equilibrium Problems --
7. The GOP Approach: Distributed Implementation --
II Signomial Problems --
8. Generalized Geometric Programming: Theory --
9. Generalized Geometric Programming: Computational Studies --
III Towards General Twice Differentiable NLPs --
10. From Biconvex to General Twice Differentiable NLPs --
11. The?BB for Box Constrained Twice-Differentiable NLPs: Theory --
12. The?BB for Constrained Twice -Differentiable NLPs: Theory --
13. Computational Studies of the?BB Approach --
14. Global Optimization in Microclusters --
15. The?BB Approach in Molecular Structure Prediction --
16. The?BB Approach in Protein Folding --
17. The?BB Approach in Peptide Docking --
18. The?BB Approach in Batch Design under Uncertainty --
19. The?BB Approach in Parameter Estimation --
IV Nonlinear and Mixed-Integer Optimization --
20. Introduction to Nonlinear and Mixed-Integer Optimization --
21. The SMIN-?BB Approach: Theory and Computations --
22. The GMIN-?BB Approach: Theory and Computations --
V Nonlinear Constrained Systems of Equations --
23. All Solutions of Nonlinear Constrained Systems of Equations --
24. Locating All Homogeneous Azeotropes --
References.
Series Title: Nonconvex optimization and its applications, 37.
Responsibility: by Christodoulos A. Floudas.

Abstract:

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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