Introduction to Optimum Design

Dr. Arora is the F. Wendell Miller Distinguished Professor, Emeritus, of Civil, Environmental and Mechanical Engineering at the University of Iowa. He was also Director of the Optimal Design Laboratory and Associate Director of the Center for Computer Aided Design. He is an internationally recognized expert in the fields of optimization, numerical analysis, and real-time implementation. His research interests include optimization-based digital human modeling, dynamic response optimization, optimal control of systems, design sensitivity analysis and optimization of nonlinear systems, and parallel optimization algorithms. Dr. Arora has authored two books, co-authored or edited five others, written 160 journal articles, 27 book chapters, 130 conference papers, and more than 300 technical reports.

Part 1: THE BASIC CONCEPTS

1 Introduction to Design Optimization 2 Optimum Design Problem Formulation 3 Graphical Optimization and Basic Concepts 4 Optimum Design Concepts: Optimality Conditions 5 More on Optimum Design Concepts: Optimality Conditions

Part 2: NUMERICAL METHODS FOR CONTINUOUS VARIABLE OPTIMIZATION

6 Optimum Design with Excel Solver 7 Optimum Design with MATLAB 8 Linear Programming Methods for Optimum Design 9 More on Linear Programming Methods 10 Numerical Methods for Unconstrained Optimum Design 11 More on Numerical Methods for Unconstrained Optimum Design 12 Numerical Methods for Constrained Optimum Design 13 More on Numerical Methods for Constrained Optimum Design 14 Practical Applications of Optimization

Part 3: ADVANCED AND MODERN TOPICS ON OPTIMUM DESIGN

15 Discrete Variable Optimum Design Concepts and Methods 16 Genetic Algorithms for Optimum Design 17 Multi-objective Optimum Design Concepts and Methods 18 Global Optimization Concepts and Methods 19 Nature-Inspired Search Methods 20 Additional Topics on Optimum Design

Appendix A: Vector and Matrix Algebra Appendix B: Sample Computer Programs Bibliography

Answers to Selected Exercises

Index