Deterministic Global Optimization: Theory, Methods and ApplicationsSpringer Science & Business Media, 2013. gada 9. marts - 742 lappuses 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. |
No grāmatas satura
1.–5. rezultāts no 51.
x. lappuse
... MINLP Models 20.4 Overview of Global Optimization Approaches for Nonconvex MINLP Models 21. THE SMIN - αBB APPROACH THEORY AND COMPUTATIONS 21.1 Mathematical Formulation 576 579 587 587 21.2 Generation of Valid Lower Bounds 588 21.3 ...
... MINLP Models 20.4 Overview of Global Optimization Approaches for Nonconvex MINLP Models 21. THE SMIN - αBB APPROACH THEORY AND COMPUTATIONS 21.1 Mathematical Formulation 576 579 587 587 21.2 Generation of Valid Lower Bounds 588 21.3 ...
xiv. lappuse
... NLP Problems □ Part IV : Nonlinear and Mixed Integer Optimization MINLP Problems Part V : Nonlinear Constrained Systems of Equations , Part I , comprised of five chapters , focuses on the global optimization of bi- convex and bilinear ...
... NLP Problems □ Part IV : Nonlinear and Mixed Integer Optimization MINLP Problems Part V : Nonlinear Constrained Systems of Equations , Part I , comprised of five chapters , focuses on the global optimization of bi- convex and bilinear ...
xv. lappuse
... MINLP approaches and the global MINLP meth- ods . Chapter 21 presents the theory and computational studies of the SMIN- aBB global optimization approach which is applicable to special structure MINLP problems , while Chapter 22 ...
... MINLP approaches and the global MINLP meth- ods . Chapter 21 presents the theory and computational studies of the SMIN- aBB global optimization approach which is applicable to special structure MINLP problems , while Chapter 22 ...
3. lappuse
... MINLP optimization problems that take the form : min f ( x , y ) X , Y s.t. h ( x , y ) = 0 g ( x , y ) ≤ 0 xX CR " yЄY integer , ( 1.2 ) where a represents a vector of n continuous variables and y is a vector of integer variables ...
... MINLP optimization problems that take the form : min f ( x , y ) X , Y s.t. h ( x , y ) = 0 g ( x , y ) ≤ 0 xX CR " yЄY integer , ( 1.2 ) where a represents a vector of n continuous variables and y is a vector of integer variables ...
4. lappuse
... MINLP - Pump Network Synthesis - General MINLP □ Multiple Steady States All Solutions of Nonlinear Constrained Equations - Homogeneous Azeotropes - All Solutions of Nonlinear Constrained Equations 1.3.1 Pooling Problems Pooling ...
... MINLP - Pump Network Synthesis - General MINLP □ Multiple Steady States All Solutions of Nonlinear Constrained Equations - Homogeneous Azeotropes - All Solutions of Nonlinear Constrained Equations 1.3.1 Pooling Problems Pooling ...
Saturs
1 | |
THE GOP APPROACH IMPLEMENTATION AND COMPUTATIONAL STUDIES | 141 |
THE GOP APPROACH IN BILEVEL LINEAR AND QUADRATIC PROBLEMS | 173 |
DISTRIBUTED IMPLEMENTATION | 243 |
Signomial Problems | 257 |
COMPUTATIONAL STUDIES | 289 |
FROM BICONVEX TO GENERAL TWICE DIFFERENTIABLE NLPS | 309 |
THEORY315 | 315 |
THE ABB APPROACH IN PEPTIDE DOCKING | 481 |
THE ABB APPROACH IN BATCH DESIGN UNDER UNCERTAINTY | 507 |
THE aBB APPROACH IN PARAMETER ESTIMATION | 543 |
Nonlinear and MixedInteger Optimization | 571 |
THE SMINαBB APPROACH THEORY AND COMPUTATIONS | 587 |
THE GMINaBB APPROACH THEORY AND COMPUTATIONS | 617 |
Nonlinear Constrained Systems of Equations | 641 |
LOCATING ALL HOMOGENEOUS AZEOTROPES | 667 |
THE aBB FOR CONSTRAINED TWICE DIFFERENTIABLE NLPS THEORY | 333 |
COMPUTATIONAL STUDIES OF THE ABB APPROACH | 377 |
GLOBAL OPTIMIZATION IN MICROCLUSTERS | 403 |
THE ABB APPROACH IN MOLECULAR STRUCTURE PREDICTION | 435 |
References | 699 |
xiii | 736 |
Citi izdevumi - Skatīt visu
Deterministic Global Optimization: Theory, Methods and Applications Christodoulos A. Floudas Priekšskatījums nav pieejams - 2010 |
Bieži izmantoti vārdi un frāzes
Adjiman azeotropes bilinear terms binary variables bound updates bounding function branch and bound Chapter concave function connected variables convergence convex envelope convex functions convex lower bounding convex relaxation convex set convex underestimators corresponding defined dihedral angles eigenvalue equation Figure formulation fractional function f(x Gibbs free energy global minimum global optimization algorithm global optimization approach global solution GMIN-aBB GOP algorithm Hessian matrix integer interval iteration Lagrange function linear Maranas and Floudas maximum separation methods MILP minimization MINLP node nonconvex terms nonlinear number of iterations objective function obtained optimization problem parameters peptide potential energy primal problem programming problem properties quadratic qualifying constraints relaxed dual problem relaxed dual subproblems shift matrix solved Table tangent plane Theorem total number upper bound variable bounds vector