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Engineering Optimization: A Modern Approach(English)

Engineering Optimization: A Modern Approach(English)

          
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About the Book

This book provides a thorough understanding of the concepts of optimization methods from a modern perspective at the conceptual stage of complex technical systems. It focuses on nonlinear optimization with emphasis on methods such as response surface and genetic algorithm, an approach suited for moving the concept of optitnization from an academic setting to the industry platform. Equal importance has been given to classical methods also for making the contents selfsufficient for an undergraduate course.

Table of Contents:

Basic Concepts
Statement of the Optimization Problem
Basic Definitions
Taylor Series Expansion
Quadratic Forms
Optimality Criteria for Unconstrained Optimization
Optimality Criteria for Constrained Optimization
Convexity
Examples in Engineering
Problems

Direct One-Dimensional Search
General Numerical Optimization Algorithm
Numerical Methods to Calculate Step Size
Equal-Interval Search
Golden-Section Search
Polynomial Interpolation
Inexact Line Search
Problems

Gradient-Based Methods
Properties of the Gradient Vector
Steepest-Descent Method
Rates of Convergence
Conjugate-Gradient Method
Basic Conjugate-Gradient Algorithms for Quadratic Functions
Conjugate-Gradient Directions for Quadratic Functions
Problems

Newtonian Methods
Newton's Method
Marquardt's Method
Quasi-Newton Methods
Direct-Update Methods
Broyden-Fletcher-Goldfarb-Shanno Method
Davidson-Fletcher-Powell Method
Numerical Derivatives
Automatic Differentiation
Analytical Gradients for Computational Problems
Problems

Constrained Optimization Methods
Linear Programming
The Simplex Method
Two-Phase Simplex Method
Penalty and Barrier Methods
Important Definitions
Sequential Linear Programming
Quadratic Programming
Constrained Steepest-Descent Method
Trust Region Methods
Problems

Response Surface Method
Response Surfaces
The Least-Squares Method
Two-Level Factorial Designs
Addition of Centre Points
Central Composite Design (CCD)
Sequential Nature of RSM
Limitations of RSM
Other Experimental Designs
Taguchi Orthogonal Arrays
Problems

Genetic Algorithm
Optimization Problems
Binary GA
Real Coded G A
Hybrid Genetic Algorithm
Automated Hybrid Genetic Algorithm
Problems
Bibliography
Index


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Product Details
  • ISBN-13: 9781466511392
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Depth: 19
  • Language: English
  • Returnable: N
  • Spine Width: 23 mm
  • Weight: 703 gr
  • ISBN-10: 1466511397
  • Publisher Date: 16 Apr 2012
  • Binding: Hardback
  • Height: 246 mm
  • No of Pages: 264
  • Series Title: English
  • Sub Title: A Modern Approach
  • Width: 189 mm


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