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Engineering optimization : methods and applications (2006)

Ravindran, A., 1944- ; Reklaitis, G. V., 1942- ; Ragsdell, K. M.

Hoboken, N.J. :John Wiley & Sons,

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Details

UID:

almahu_9948197020202882

Umfang: 1 online resource (xv, 667 pages) : , illustrations, map

Ausgabe: 2nd ed.

ISBN: 9780470117811 , 0470117818

Anmerkung: Introduction to Optimization , Requirements for the Application of Optimization Methods , Defining the System Boundaries , Performance Criterion , Independent Variables , System Model , Applications of Optimization in Engineering , Design Applications , Operations and Planning Applications , Analysis and Data Reduction Applications , Classical Mechanics Applications , Taguchi System of Quality Engineering , Structure of Optimization Problems , Functions of a Single Variable , Properties of Single-Variable Functions , Optimality Criteria , Region Elimination Methods , Bounding Phase , Interval Refinement Phase , Comparison of Region Elimination Methods , Polynomial Approximation or Point Estimation Methods , Quadratic Estimation Methods , Successive Quadratic Estimation Method , Methods Requiring Derivatives , Newton-Raphson Method , Bisection Method , Secant Method , Cubic Search Method , Comparison of Methods , Functions of Several Variables , Optimality Criteria , Direct-Search Methods , The S[superscript 2] (Simplex Search) Method , Hooke-Jeeves Pattern Search Method , Powell's Conjugate Direction Method , Gradient-Based Methods , Cauchy's Method , Newton's Method , Modified Newton's Method , Marquardt's Method , Conjugate Gradient Methods , Quasi-Newton Methods , Trust Regions , Gradient-Based Algorithm , Numerical Gradient Approximations , Comparison of Methods and Numerical Results , Linear Programming , Formulation of Linear Programming Models , Graphical Solution of Linear Programs in Two Variables , Linear Program in Standard Form , Handling Inequalities , Handling Unrestricted Variables , Principles of the Simplex Method , Minimization Problems , Unbounded Optimum , Degeneracy and Cycling , Use of Artificial Variables , Two-Phase Simplex Method , Computer Solution of Linear Programs , Computer Codes , Computational Efficiency of the Simplex Method , Sensitivity Analysis in Linear Programming , Applications , Additional Topics in Linear Programming , Duality Theory , Dual Simplex Method , Interior Point Methods , Integer Programming , Goal Programming , Constrained Optimality Criteria , Equality-Constrained Problems , Lagrange Multipliers , Economic Interpretation of Lagrange Multipliers , Kuhn-Tucker Conditions , Kuhn-Tucker Conditions or Kuhn-Tucker Problem , Interpretation of Kuhn-Tucker Conditions , Kuhn-Tucker Theorems , Saddlepoint Conditions , Second-Order Optimality Conditions , Generalized Lagrange Multiplier Method , Generalization of Convex Functions , Transformation Methods , Penalty Concept , Various Penalty Terms , Choice of Penalty Parameter R , Algorithms, Codes, and Other Contributions , Method of Multipliers , Penalty Function , Multiplier Update Rule , Penalty Function Topology , Termination of the Method , MOM Characteristics , Choice of R-Problem Scale , Variable Bounds , Other MOM-Type Codes , Constrained Direct Search , Problem Preparation , Treatment of Equality Constraints , Generation of Feasible Starting Points , Adaptations of Unconstrained Search Methods , Difficulties in Accommodating Constraints , Complex Method , Random-Search Methods , Direct Sampling Procedures , Combined Heuristic Procedures , Linearization Methods for Constrained Problems , Direct Use of Successive Linear Programs , Linearly Constrained Case , General Nonlinear Programming Case , Discussion and Applications , Separable Programming , Single-Variable Functions , Multivariable Separable Functions , Linear Programming Solutions of Separable Problems , Discussion and Applications , Direction Generation Methods Based on Linearization , Method of Feasible Directions , Basic Algorithm , Active Constraint Sets and Jamming , Simplex Extensions for Linearly Constrained Problems , Convex Simplex Method , Reduced Gradient Method , Convergence Acceleration , Generalized Reduced Gradient Method , Implicit Variable Elimination , Basic GRG Algorithm , Extensions of Basic Method , Computational Considerations , Design Application , Problem Statement , General Formulation , Model Reduction and Solution , Quadratic Approximation Methods for Constrained Problems , Direct Quadratic Approximation , Quadratic Approximation of the Lagrangian Function , Variable Metric Methods for Constrained Optimization , Problem Scaling , Constraint Inconsistency , Modification of H[superscript (t)] , Comparison of GRG with CVM , Structured Problems and Algorithms , Integer Programming , Formulation of Integer Programming Models , Solution of Integer Programming Problems , Guidelines on Problem Formulation and Solution , Quadratic Programming , Applications of Quadratic Programming , Kuhn-Tucker Conditions , Complementary Pivot Problems , Goal Programming , Comparison of Constrained Optimization Methods , Software Availability , A Comparison Philosophy , Brief History of Classical Comparative Experiments , Preliminary and Final Results , Strategies for Optimization Studies , Model Formulation , Levels of Modeling , Types of Models , Problem Implementation , Model Assembly , Preparation for Solution , Execution Strategies , Solution Evaluation , Solution Validation , Sensitivity Analysis , Engineering Case Studies , Optimal Location of Coal-Blending Plants by Mixed-Integer Programming , Problem Description , Model Formulation , Results , Optimization of an Ethylene Glycol-Ethylene Oxide Process , Problem Description , Model Formulation , Problem Preparation , Discussion of Optimization Runs , Optimal Design of a Compressed Air Energy Storage System , Problem Description , Model Formulation , Numerical Results , A Review of Linear Algebra , -- , Set Theory , Vectors , Matrices , Matrix Operations , Determinant of a Square Matrix , Inverse of a Matrix , Condition of a Matrix , Sparse Matrix , Quadratic Forms , Principal Minor , Completing the Square , Convex Sets , Convex and Concave Functions , Gauss-Jordan Elimination Scheme

Weitere Ausg.: ISBN 9780471558149

Sprache: Englisch

Fachgebiete: Mathematik

RVK:

SK 950

Schlagwort(e): Electronic books. ; Lehrbuch. ; Electronic books. ; Lehrbuch. ; Electronic books. ; Lehrbuch.

DOI: 10.1002/9780470117811

URL: https://onlinelibrary.wiley.com/doi/book/10.1002/9780470117811

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