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A Collection of Test Problems for Constrained Global Optimization Algorithms

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Release : 1990-09-15
Genre : Business & Economics
Kind : eBook
Book Rating : 329/5 ( reviews)

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Book Synopsis A Collection of Test Problems for Constrained Global Optimization Algorithms by : Christodoulos A. Floudas

Download or read book A Collection of Test Problems for Constrained Global Optimization Algorithms written by Christodoulos A. Floudas. This book was released on 1990-09-15. Available in PDF, EPUB and Kindle. Book excerpt: Significant research activity has occurred in the area of global optimization in recent years. Many new theoretical, algorithmic, and computational contributions have resulted. Despite the major importance of test problems for researchers, there has been a lack of representative nonconvex test problems for constrained global optimization algorithms. This book is motivated by the scarcity of global optimization test problems and represents the first systematic collection of test problems for evaluating and testing constrained global optimization algorithms. This collection includes problems arising in a variety of engineering applications, and test problems from published computational reports.

Deterministic Global Optimization

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Author :
Release : 2000
Genre : Computers
Kind : eBook
Book Rating : 148/5 ( reviews)

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Book Synopsis Deterministic Global Optimization by : Christodoulos A. Floudas

Download or read book Deterministic Global Optimization written by Christodoulos A. Floudas. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Constrained Global Optimization

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Author :
Release : 1987
Genre : Computers
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Constrained Global Optimization by : Panos M. Pardalos

Download or read book Constrained Global Optimization written by Panos M. Pardalos. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Test Problems in Local and Global Optimization

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Author :
Release : 2013-03-09
Genre : Technology & Engineering
Kind : eBook
Book Rating : 403/5 ( reviews)

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Book Synopsis Handbook of Test Problems in Local and Global Optimization by : Christodoulos A. Floudas

Download or read book Handbook of Test Problems in Local and Global Optimization written by Christodoulos A. Floudas. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This collection of challenging and well-designed test problems arising in literature studies also contains a wide spectrum of applications, including pooling/blending operations, heat exchanger network synthesis, homogeneous azeotropic separation, and dynamic optimization and optimal control problems.

Deterministic Global Optimization

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Author :
Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 49X/5 ( reviews)

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Book Synopsis Deterministic Global Optimization by : Christodoulos A. Floudas

Download or read book Deterministic Global Optimization written by Christodoulos A. Floudas. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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