Optimization: An Introduction
Optimization: An Introduction
English | 2025 | ISBN: 3031863259 | 354 Pages | PDF EPUB (True) | 21 MB
English | 2025 | ISBN: 3031863259 | 354 Pages | PDF EPUB (True) | 21 MB
This book covers analytic methods to solve one-dimensional and multi-dimensional problems with or without possible constraints, iterative numerical techniques based on the gradient calculation or its estimation, and numerical methods that do not require the knowledge of gradient and use only comparative iterative tests. This book provides the reader with a basic introduction to some traditional parameter optimization techniques. The presented problems and their solution methods represent a core of the parameter optimization reign since the 17th century to the 1970s. Linear and integer programming via the simplex table is also introduced. Two simple selected problems that are solved using dynamic programming principles are also given to the reader. A general approach to constraints via penalty and barrier functions is introduced. A concise introduction to the decision and game theory concludes the book.