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Fully updated to reflect new developments in the field, the Fourth Edition of Introduction to Optimization fills the need for accessible treatment of optimization theory and methods with an emphasis on engineering design. Basic definitions and notations are provided in addition to the related fundamental background for linear algebra, geometry, and calculus. .
This new edition explores the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. The authors also present an optimization perspective on global search methods and include discussions on genetic algorithms, particle swarm optimization, and the simulated annealing algorithm. Featuring an elementary introduction to artificial neural networks, convex optimization, and multi-objective optimization, the Fourth Edition also offers:
A new chapter on integer programming.
Expanded coverage of one-dimensional methods.
Updated and expanded sections on linear matrix inequalities.
Numerous new exercises at the end of each chapter.
MATLAB exercises and drill problems to reinforce the discussed theory and algorithms.
Numerous diagrams and figures that complement the written presentation of key concepts.
MATLAB M-files for implementation of the discussed theory and algorithms (available via the book's website).
Introduction to Optimization, Fourth Edition is an ideal textbook for courses on optimization theory and methods. In addition, the book is a useful reference for professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.
Mathematical Review.
Methods of Proof and Some Notation.
Vector Spaces and Matrices.
Transformations.
Concepts from Geometry.
Elements of Calculus.
Unconstrained Optimization.
Basics of Set-Constrained and Unconstrained Optimization.
One-Dimensional Search Methods.
Gradient Methods.
Newton’s Method.
Conjugate Direction Methods.
Quasi-Newton Methods.
Solving Linear Equations.
Unconstrained Optimization and Neural Networks.
Global Search Algorithms.
Linear Programming.
Introduction to Linear Programming 305.
Simplex Method.
Duality.
Nonsimplex Methods.
Integer Linear Programming.
Nonlinear Constrained Optimization.
Problems with Equality Constraints.
Problems with Inequality Constraints.
Convex Optimization Problems.
Algorithms for Constrained Optimization.
Multiobjective Optimization