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Titlebook: Deterministic Global Optimization; Theory, Methods and Christodoulos A. Floudas Book 2000 Springer Science+Business Media Dordrecht 2000 A

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书目名称Deterministic Global Optimization
副标题Theory, Methods and
编辑Christodoulos A. Floudas
视频video
丛书名称Nonconvex Optimization and Its Applications
图书封面Titlebook: Deterministic Global Optimization; Theory, Methods and  Christodoulos A. Floudas Book 2000 Springer Science+Business Media Dordrecht 2000 A
描述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
出版日期Book 2000
关键词Azeotrope; Maxima; Operations Research; Quad; algorithms; linear optimization; nonlinear optimization; opti
版次1
doihttps://doi.org/10.1007/978-1-4757-4949-6
isbn_softcover978-1-4419-4820-5
isbn_ebook978-1-4757-4949-6Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 2000
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The GOP Primal — Relaxed Dual Decomposition Approach : Theory decomposition first developed by Benders (1962) for mixed integer linear programming, and later extended by Geoffrion (1972) for nonlinear programming. The decomposition and duality principles are presented in detail in Floudas (1995). In section 3.1, the problem is stated and the classes of mathem
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The GOP Approach : Implementation and Computational Studiessynthesis, pooling and blending, separation networks, as well as concave and indefinite quadratic problems studied by Visweswaran and Floudas (1996b), (1990), (1993). Section 4.1 discusses the various aspects involved in the implementation, including reduction tests and local enhancements at each no
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The GOP Approach in Bilevel Linear and Quadratic Problemsms as developed by Visweswaran .. (1996). In section 5.1, the reader is briefly introduced to the bilevel programming literature work. In section 5.2, the bilevel linear problem is formulated followed by the theoretical analysis based on the principles of the GOP algorithm. Section 5.3 presents the
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The GOP Approach in Phase and Chemical Equilibrium Problems McDonald and Floudas (1994), (1995a), and (1995b). Two main classes of phase and chemical equilibrium problems are addressed: (a) the minimization of the Gibbs free energy and (b) the tangent plane stability criterion. Section 6.1 presents the formulation of minimization of the Gibbs free energy pr
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The GOP Approach : Distributed Implementationg results for indefinite quadratic programming problems and for large-scale pooling problems that arise in chemical refineries. Section 7.1 focuses on the critical components of the distributed implementation of the GOP approach. Section 7.2 presents the computational results for large-scale indefin
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Generalized Geometric Programming : Theoryhis material is based on the work of Maranas and Floudas (1997). Section 8.1 provides an introduction to generalized geometric programming. Section 8.2 focuses on the theoretical analysis for the development of a global optimization approach. Section 8.3 presents the global optimization algorithm an
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Generalized Geometric Programming : Computational Studiesn Chapter 8. A number of engineering design problems are addressed for which convergence to an ∈-global minimum is guaranteed. A framework for checking the stability of given control strategies is presented which requires the solution of . problems, and a number of stability analysis examples are co
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