A. Ravindran, K. M. Ragsdell, Gintaras V. Reklaitis

Engineering Optimization

Methods and Applications

• Gebundenes Buch

Produktbeschreibung

The classic introduction to engineering optimization theory and practice--now expanded and updated

Engineering optimization helps engineers zero in on the most effective, efficient solutions to problems. This text provides a practical, real-world understanding of engineering optimization. Rather than belaboring underlying proofs and mathematical derivations, it emphasizes optimization methodology, focusing on techniques and stratagems relevant to engineering applications in design, operations, and analysis. It surveys diverse optimization methods, ranging from those applicable to the minimization of a single-variable function to those most suitable for large-scale, nonlinear constrained problems. New material covered includes the duality theory, interior point methods for solving LP problems, the generalized Lagrange multiplier method and generalization of convex functions, and goal programming for solving multi-objective optimization problems. A practical, hands-on reference and text, Engineering Optimization, Second Edition covers:
_ Practical issues, such as model formulation, implementation, starting point generation, and more
_ Current, state-of-the-art optimization software
_ Three engineering case studies plus numerous examples from chemical, industrial, and mechanical engineering
_ Both classical methods and new techniques, such as successive quadratic programming, interior point methods, and goal programming

Excellent for self-study and as a reference for engineering professionals, this Second Edition is also ideal for senior and graduate courses on engineering optimization, including television and online instruction, as well as for in-plant training.

Produktdetails

• Verlag: Wiley & Sons
• 2. Aufl.
• Seitenzahl: 688
• Erscheinungstermin: 1. Mai 2006
• Englisch
• Abmessung: 240mm x 161mm x 41mm
• Gewicht: 1060g
• ISBN-13: 9780471558149
• ISBN-10: 0471558141
• Artikelnr.: 20837056

Autorenporträt

A. RAVINDRAN, PhD, is Professor of Industrial and Manufacturing Engineering at Penn State University in University Park, Pennsylvania. K. M. RAGSDELL, PhD, is Professor of Engineering Management at the University of Missouri in Rolla, Missouri. G. V. REKLAITIS, PhD, is Edward W. Comings Professor of Chemical Engineering at Purdue University in West Lafayette, Indiana.

Inhaltsangabe

Preface. 1 Introduction to Optimization. 1.1 Requirements for the
Application of Optimization Methods. 1.2 Applications of Optimization in
Engineering. 1.3 Structure of Optimization Problems. 1.4 Scope of This
Book. References. 2 Functions of a Single Variable. 2.1 Properties of
Single-Variable Functions. 2.2 Optimality Criteria. 2.3 Region Elimination
Methods. 2.4 Polynomial Approximation or Point Estimation Methods. 2.5
Methods Requiring Derivatives. 2.6 Comparison of Methods. 2.7 Summary.
References. Problems. 3 Functions of Several Variables. 3.1 Optimality
Criteria. 3.2 Direct-Search Methods. 3.3 Gradient-Based Methods. 3.4
Comparison of Methods and Numerical Results. 3.5 Summary. References.
Problems. 4 Linear Programming. 4.1 Formulation of Linear Programming
Models. 4.2 Graphical Solution of Linear Programs in Two Variables. 4.3
Linear Program in Standard Form. 4.5 Computer Solution of Linear Programs.
4.5.1 Computer Codes. 4.6 Sensitivity Analysis in Linear Programming. 4.7
Applications. 4.8 Additional Topics in Linear Programming. 4.9 Summary.
References. Problems. 5 Constrained Optimality Criteria. 5.1
Equality-Constrained Problems. 5.2 Lagrange Multipliers. 5.3 Economic
Interpretation of Lagrange Multipliers. 5.4 Kuhn-Tucker Conditions. 5.5
Kuhn-Tucker Theorems. 5.6 Saddlepoint Conditions. 5.7 Second-Order
Optimality Conditions. 5.8 Generalized Lagrange Multiplier Method. 5.9
Generalization of Convex Functions. 5.10 Summary. References. Problems. 6
Transformation Methods. 6.1 Penalty Concept. 6.2 Algorithms, Codes, and
Other Contributions. 6.3 Method of Multipliers. 6.4 Summary. References.
Problems. 7 Constrained Direct Search. 7.1 Problem Preparation. 7.2
Adaptations of Unconstrained Search Methods. 7.3 Random-Search Methods. 7.4
Summary. References. Problems. 8 Linearization Methods for Constrained
Problems. 8.1 Direct Use of Successive Linear Programs. 8.2 Separable
Programming. 8.3 Summary. References. Problems. 9 Direction Generation
Methods Based on Linearization. 9.1 Method of Feasible Directions. 9.2
Simplex Extensions for Linearly Constrained Problems. 9.3 Generalized
Reduced Gradient Method. 9.4 Design Application. 9.5 Summary. References.
Problems. 10 Quadratic Approximation Methods for Constrained Problems. 10.1
Direct Quadratic Approximation. 10.2 Quadratic Approximation of the
Lagrangian Function. 10.3 Variable Metric Methods for Constrained
Optimization. 10.4 Discussion. 10.5 Summary. References. Problems. 11
Structured Problems and Algorithms. 11.1 Integer Programming. 11.2
Quadratic Programming. 11.3 Complementary Pivot Problems. 11.4 Goal
Programming. 11.5 Summary. References. Problems. 12 Comparison of
Constrained Optimization Methods. 12.1 Software Availability. 12.2 A
Comparison Philosophy. 12.3 Brief History of Classical Comparative
Experiments. 12.4 Summary. References. 13 Strategies for Optimization
Studies. 13.1 Model Formulation. 13.2 Problem Implementation. 13.3 Solution
Evaluation. 13.4 Summary. References. Problems. 14 Engineering Case
Studies. 14.1 Optimal Location of Coal-Blending Plants by Mixed-Integer
Programming. 14.2 Optimization of an Ethylene Glycol-Ethylene Oxide
Process. 14.3 Optimal Design of a Compressed Air Energy Storage System.
14.4 Summary. References. Appendix A Review of Linear Algebra. A.1 Set
Theory. A.2 Vectors. A.3 Matrices. A.3.1 Matrix Operations. A.3.2
Determinant of a Square Matrix. A.3.3 Inverse of a Matrix. A.3.4 Condition
of a Matrix. A.3.5 Sparse Matrix. A.4 Quadratic Forms. A.4.1 Principal
Minor. A.4.2 Completing the Square. A.5 Convex Sets. Appendix B Convex and
Concave Functions. Appendix C Gauss-Jordan Elimination Scheme. Author
Index. Subject Index.