Optimization : algorithms and applications /

Optimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic methods as solution techniques for unconstrained and constrained opti...

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Bibliographic Details
Main Author: Arora, Rajesh Kumar
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, Fla. : CRC P., 2015.
Edition:1st edition.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:Optimization: Algorithms and Applications presents a variety of solution techniques for optimization problems, emphasizing concepts rather than rigorous mathematical details and proofs. The book covers both gradient and stochastic methods as solution techniques for unconstrained and constrained optimization problems. It discusses the conjugate gradient method, Broyden-Fletcher-Goldfarb-Shanno algorithm, Powell method, penalty function, augmented Lagrange multiplier method, sequential quadratic programming, method of feasible directions, genetic algorithms, particle swarm optimization (PSO), simulated annealing, ant colony optimization, and tabu search methods. The author shows how to solve non-convex multi-objective optimization problems using simple modifications of the basic PSO code. The book also introduces multidisciplinary design optimization (MDO) architectures - one of the first optimization books to do so - and develops software codes for the simplex method and affine-scaling interior point method for solving linear programming problems. In addition, it examines Gomory's cutting plane method, the branch-and-bound method, and Balas' algorithm for integer programming problems. The author follows a step-by-step approach to developing the MATLAB® codes from the algorithms. He then applies the codes to solve both standard functions taken from the literature and real-world applications, including a complex trajectory design problem of a robot, a portfolio optimization problem, and a multi-objective shape optimization problem of a re-entry body. This hands-on approach improves your understanding and confidence in handling different solution methods.
Item Description:A Chapman and Hall book.
Physical Description:1 online resource (xv, 450 pages) : illustrations.
Bibliography:Includes bibliographical references.
ISBN:9780429162527
9781498721127
1498721125
0429162529