Table of Contents
| Preface |
| Acknowledgements |
| About the Author |
Chapter 1: Introduction and Background |
1.1
Operations Research for Decision Analysis
and Support |
|
| 2.1
The Global Optimization Toolbox 2.2 Toolbox Installation 2.3 Initializing the GlobalOptimization and Optimization Packages 2.4 GOT Options and Parameter Settings 2.5 Model Formulation and Function Evaluation Options 2.6. Global Optimization: Model Development and Solver Suggestions |
Chapter 3: Getting Started with the GOT |
| 3.1
A
Convex Model 3.2 A Nonconvex Model 3.3 Runtime Information Level Options 3.4 A Difficult One-Dimensional Example, and a Cautionary Note 3.5 A "Standard" Model Development and Solution Approach 3.6 Shubert's Test Problem with Added Constraints 3.7 Standard Box-Constrained Nonlinear Optimization Test Problems 3.8 Some More Challenging Box-Constrained Models 3.9 Constrained Optimization Test Models 3.10 Incremental Model Development: An Example 3.11 Scalable Test Models 3.12 Model Definition by Procedural (Matrix) Formulation 3.13 A Linear Optimization Model with Indexed Variables 3.14 A Nonlinear Model with Indexed Variables 3.15 Using the GOT in Interactive Mode: A Box-Constrained Example 3.16 A General Constrained Model Solved in Interactive Mode 3.17 The GOT in Interactive Mode: Further Examples |
Chapter 4: More Advanced Examples |
| 4.1
Trefethen's
Hundred-dollar, Hundred-digit Challenge: Problem 4 4.2 Optimization with Embedded Computable Functions: An Example with Gamma Function 4.3 Optimization with Embedded Computable Functions: Examples with Trigonometric and Psi Functions 4.4 Optimization with Embedded Computable Functions: An Example with Bessel Functions 4.5 Optimization with Embedded Computable Functions: An Example with Spline Interpolation 4.6 Optimization of a Parametric Integral (Trefethen's Problem 9) 4.7 Calling MATLAB to Define Model Functions 4.8 Using External (Precompiled) Functions in a Model 4.9 Reporting the Current Best Solution from a Numerical Procedure During Optimization |
Chapter 5: Illustrative Case Studies |
| 5.1
Systems
of Nonlinear Equations 5.2 A Simple Manufacturing Design Problem 5.3 A Model Fitting Example 5.4 A More Difficult Model Calibration Problem 5.5 A Chemical Equilibrium Model 5.6 Alkylation Process Model 5.7 Circuit Design Problem 5.8 Supply Chain Performance Optimization 5.9 A General (Non-Uniform) Circle Packing Problem 5.10 Further Application Perspectives |
| Concluding Notes |
| References |