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| List of Figures | |
| Preface | |
| Acknowledgments | |
| Introduction | |
| Foundations Of Optimization And Algorithms | |
| A Brief History of Optimization | |
| Before 1900 | |
| 20th Century | |
| Heuristics and Metaheuristics | |
| Exercises | |
| Engineering Optimization | |
| Optimization | |
| Type of Optimization | |
| Optimization Algorithms | |
| Metaheuristics | |
| Order Notation | |
| Algorithm Complexity | |
| No Free Lunch Theorems | |
| Exercises | |
| Mathematical Foundations | |
| Upper and Lower Bounds | |
| Basic Calculus | |
| Optimality | |
| Vector and Matrix Norms | |
| Eigenvalues and Definiteness | |
| Linear and Afine Functions | |
| Gradient and Hessian Matrices | |
| Convexity | |
| Exercises | |
| Classic Optimization Methods I | |
| Unconstrained Optimization | |
| Gradient-Based Methods | |
| Newton's Method | |
| Constrained Optimization | |
| Linear Programming | |
| Simplex Method | |
| Nonlinear optimization | |
| Penalty Method | |
| Lagrange Multipliers | |
| Karush-Kuhn-Tucker Conditions | |
| Exercises | |
| Classic Optimization Methods II | |
| BFGS Method | |
| Nelder-Mead Method | |
| Trust-Region Method | |
| Sequential Quadratic Programming | |
| Exercises | |
| Convex Optimization | |
| KKT conditions | |
| Convex Optimization Examples | |
| Equality Constrained Optimization | |
| Barrier Functions | |
| Interior-Point Methods | |
| Stochastic and Robust Optimization | |
| Exercises | |
| Calculus of Variations | |
| Euler-Lagrange Equation | |
| Variations with Constraints | |
| Variations for Multiple Variables | |
| Optimal Control | |
| Exercises | |
| Random Number Generators | |
| Linear Congruential Algorithms | |
| Uniform Distribution | |
| Other Distributions | |
| Metropolis Algorithms | |
| Exercises | |
| Monte Carlo Methods | |
| Estimating fi | |
| Monte Carlo Integration | |
| Importance of Sampling | |
| Exercises | |
| Random Walk and Markov Chain | |
| Random Process | |
| Random Walk | |
| Lfievy Flights | |
| Markov Chain | |
| Markov Chain Monte Carlo | |
| Markov Chain and Optimisation | |
| Exercises | |
| Metaheuristic Algorithms | |
| Genetic Algorithms | |
| Introduction | |
| Genetic Algorithms | |
| Exercises | |
| Simulated Annealing | |
| Annealing and Probability | |
| Choice of Parameters | |
| SA Algorithm | |
| Implementation | |
| Exercises | |
| Ant Algorithms | |
| Behaviour of Ants | |
| Ant Colony Optimization | |
| Double Bridge Problem | |
| Virtual Ant Algorithm | |
| Exercises | |
| Bee Algorithms | |
| Behavior of Honey Bees | |
| Bee Algorithms | |
| Applications | |
| Exercises | |
| Particle Swarm Optimization | |
| Swarm Intelligence | |
| PSO algorithms | |
| Accelerated PSO | |
| Implementation | |
| Constraints | |
| Exercises | |
| Harmony Search | |
| Music-Based Algorithms | |
| Harmony Search | |
| Implementation | |
| Exercises | |
| Firey Algorithm | |
| Behaviour of Fireies | |
| Firey-Inspired Algorithm | |
| Implementation | |
| Exercises | |
| Applications | |
| Multiobjective Optimization | |
| Pareto Optimality | |
| Weighted Sum Method | |
| Utility Method | |
| Metaheuristic Search | |
| Other Algorithms | |
| Exercises | |
| Engineering Applications | |
| Spring Design | |
| Pressure Vessel | |
| Shape Optimization | |
| Optimization of Eigenvalues and Frequencies | |
| Inverse Finite Element Analysis | |
| Exercises | |
| Appendices | |
| Test Problems in Optimization | |
| Matlab Programs | |
| Genetic Algorithms | |
| Simulated Annealing | |
| Particle Swarm Optimization | |
| Harmony Search | |
| Firey Algorithm | |
| Nonlinear Optimization | |
| Spring Design | |
| Pressure Vessel | |
| Glossary | p. 283 |
| Problem Solutions | p. 305 |
| References | p. 333 |
| Index | p. 343 |
| Table of Contents provided by Publisher. All Rights Reserved. |
