Cover -- Frontmatter -- Half Title Page -- Title Page -- Copyright -- Author Detail -- Dedication Page -- Preface -- Contents -- 1. Introduction to Design -- 1.1 The Design Process -- 1.2 Engineering Design versus Engineering Analysis -- 1.3 Conventional versus Optimum Design Process -- 1.4 Optimum Design versus Optimal Control -- 1.5 Basic Terminology and Notation -- 2. Optimum Design Problem Formulation -- 2.1 The Problem Formulation Process -- 2.2 Design of a Can -- 2.3 Insulated Spherical Tank Design -- 2.4 Saw Mill Operation -- 2.5 Design of a Two-Bar Bracket -- 2.6 Design of a Cabinet -- 2.7 Minimum Weight Tubular Column Design -- 2.8 Minimum Cost Cylindrical Tank Design -- 2.9 Design of Coil Springs -- 2.10 Minimum Weight Design of a Symmetric Three-Bar Truss -- 2.11 A General Mathematical Model for Optimum Design -- Exercises for Chapter 2 -- 3. Graphical Optimization -- 3.1 Graphical Solution Process -- 3.2 Use of Mathematica for Graphical Optimization -- 3.3 Use of MATLAB for Graphical Optimization -- 3.4 Design Problem with Multiple Solutions -- 3.5 Problem with Unbounded Solution -- 3.6 Infeasible Problem -- 3.7 Graphical Solution for Minimum Weight Tubular Column -- 3.8 Graphical Solution for a Beam Design Problem -- Exercises for Chapter 3 -- 4. Optimum Design Concepts -- 4.1 Definitions of Global and Local Minima -- 4.2 Review of Some Basic Calculus Concepts -- 4.3 Unconstrained Optimum Design Problems -- 4.4 Constrained Optimum Design Problems -- 4.5 Postoptimality Analysis: Physical Meaning of Lagrange Multipliers -- 4.6 Global Optimality -- 4.7 Engineering Design Examples -- Exercises for Chapter 4 -- 5. More on Optimum Design Concepts -- 5.1 Alternate Form of KKT Necessary Conditions -- 5.2 Irregular Points -- 5.3 Second-Order Conditions for Constrained Optimization -- 5.4 Sufficiency Check for Rectangular Beam Design Problem.

Exercises for Chapter 5 -- 6. Linear Programming Methods for Optimum Design -- 6.1 Definition of a Standard Linear Programming Problem -- 6.2 Basic Concepts Related to Linear Programming Problems -- 6.3 Basic Ideas and Steps of the Simplex Method -- 6.4 Two-Phase Simplex Method-Artificial Variables -- 6.5 Postoptimality Analysis -- 6.6 Solution of LP Problems Using Excel Solver -- Exercises for Chapter 6 -- 7. More on Linear Programming Methods for Optimum Design -- 7.1 Derivation of the Simplex Method -- 7.2 Alternate Simplex Method -- 7.3 Duality in Linear Programming -- Exercises for Chapter 7 -- 8. Numerical Methods for Unconstrained Optimum Design -- 8.1 General Concepts Related to Numerical Algorithms -- 8.2 Basic Ideas and Algorithms for Step Size Determination -- 8.3 Search Direction Determination: Steepest Descent Method -- 8.4 Search Direction Determination: Conjugate Gradient Method -- Exercises for Chapter 8 -- 9. More on Numerical Methods for Unconstrained Optimum Design -- 9.1 More on Step Size Determination -- 9.2 More on Steepest Descent Method -- 9.3 Scaling of Design Variables -- 9.4 Search Direction Determination: Newton's Method -- 9.5 Search Direction Determination: Quasi-Newton Methods -- 9.6 Engineering Applications of Unconstrained Methods -- 9.7 Solution of Constrained Problems Using Unconstrained Optimization Methods -- Exercises for Chapter 9 -- 10. Numerical Methods for Constrained Optimum Design -- 10.1 Basic Concepts and Ideas -- 10.2 Linearization of Constrained Problem -- 10.3 Sequential Linear Programming Algorithm -- 10.4 Quadratic Programming Subproblem -- 10.5 Constrained Steepest Descent Method -- 10.6 Engineering Design Optimization Using Excel Solver -- Exercises for Chapter 10 -- 11. More on Numerical Methods for Constrained Optimum Design -- 11.1 Potential Constraint Strategy.

11.2 Quadratic Programming Problem -- 11.3 Approximate Step Size Determination -- 11.4 Constrained Quasi-Newton Methods -- 11.5 Other Numerical Optimization Methods -- Exercises for Chapter 11 -- 12. Introduction to Optimum Design with MATLAB -- 12.1 Introduction to Optimization Toolbox -- 12.2 Unconstrained Optimum Design Problems -- 12.3 Constrained Optimum Design Problems -- 12.4 Optimum Design Examples with MATLAB -- Exercises for Chapter 12 -- 13. Interactive Design Optimization -- 13.1 Role of Interaction in Design Optimization -- 13.2 Interactive Design Optimization Algorithms -- 13.3 Desired Interactive Capabilities -- 13.4 Interactive Design Optimization Software -- 13.5 Examples of Interactive Design Optimization -- Exercises for Chapter 13 -- 14. Design Optimization Applications with Implicit Functions -- 14.1 Formulation of Practical Design Optimization Problems -- 14.2 Gradient Evaluation for Implicit Functions -- 14.3 Issues in Practical Design Optimization -- 14.4 Use of General-Purpose Software -- 14.5 Optimum Design of a Two-Member Frame with Out-of-Plane Loads -- 14.6 Optimum Design of a Three-Bar Structure for Multiple Performance Requirements -- 14.7 Discrete Variable Optimum Design -- 14.8 Optimal Control of Systems by Nonlinear Programming -- Exercises for Chapter 14 -- 15. Discrete Variable Optimum Design Concepts and Methods -- 15.1 Basic Concepts and Definitions -- 15.2 Branch and Bound Methods (BBM) -- 15.3 Integer Programming -- 15.4 Sequential Linearization Methods -- 15.5 Simulated Annealing -- 15.6 Dynamic Rounding-off Method -- 15.7 Neighborhood Search Method -- 15.8 Methods for Linked Discrete Variables -- 15.9 Selection of a Method -- Exercises for Chapter 15 -- 16. Genetic Algorithms for Optimum Design -- 16.1 Basic Concepts and Definitions -- 16.2 Fundamentals of Genetic Algorithms.

16.3 Genetic Algorithm for Sequencing-Type Problems -- 16.4 Applications -- Exercises for Chapter 16 -- 17. Multiobjective Optimum Design Concepts and Methods -- 17.1 Problem Definition -- 17.2 Terminology and Basic Concepts -- 17.3 Multiobjective Genetic Algorithms -- 17.4 Weighted Sum Method -- 17.5 Weighted Min-Max Method -- 17.6 Weighted Global Criterion Method -- 17.7 Lexicographic Method -- 17.8 Bounded Objective Function Method -- 17.9 Goal Programming -- 17.10 Selection of Methods -- Exercises for Chapter 17 -- 18. Global Optimization Concepts and Methods for Optimum Design -- 18.1 Basic Concepts of Solution Methods -- 18.2 Overview of Deterministic Methods -- 18.3 Overview of Stochastic Methods -- 18.4 Two Local-Global Stochastic Methods -- 18.5 Numerical Performance of Methods -- Exercises for Chapter 18 -- Appendix A: Economic Analysis -- A.1 Time Value of Money -- A.2 Economic Bases for Comparison -- Exercises for Appendix A -- Appendix B: Vector and Matrix Algebra -- B.1 Definition of Matrices -- B.2 Type of Matrices and Their Operations -- B.3 Solution of n Linear Equations in n Unknowns -- B.4 Solution of m Linear Equations in n Unknowns -- B.5 Concepts Related to a Set of Vectors -- B.6 Eigenvalues and Eigenvectors -- B.7 Norm and Condition Number of a Matrix -- Exercises for Appendix B -- Appendix C: A Numerical Method for Solution of Nonlinear Equations -- C.1 Single Nonlinear Equation -- C.2 Multiple Nonlinear Equations -- Exercises for Appendix C -- Appendix D: Sample Computer Programs -- D.1 Equal Interval Search -- D.2 Golden Section Search -- D.3 Steepest Descent Method -- D.4 Modified Newton's Method -- References -- Bibliography -- Answers to Selected Problems -- Index.