Optimization

Optimization: algorithms and applications

by Arora, Rajesh Kumar

Type Book
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Choose the Correct Solution Method for Your Optimization Problem 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 func…

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Title Statements

  • Full title :Optimization : algorithms and applications / Rajesh Kumar Arora.

Summary

Choose the Correct Solution Method for Your Optimization Problem 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 reentry body. This hands-on approach improves your understanding and confidence in handling different solution methods. The MATLAB codes are available on the book's CRC Press web page.

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Edition Statements

  • Publication Date:©2015
  • Edition:1st

Publication Statements

  • Publisher(s):Chapman & Hall/CRC
  • Place of Publication:Boca Raton
  • Language:eng
  • Publication Date:©2015

The Physical Object

  • Description:1 online resource : : illustrations (black and white)

Edition Identifiers

  • ISBN:9781498721158, 149872115X
  • DOI:10.1201/b18469
  • oclc:ocn988214758
  • LC Classification:QA402.5
  • Dewey Decimal:519.6

Table of Contents

1. Introduction -- 2. 1-D optimization algorithms -- 3. Unconstrained optimization -- 4. Linear programming -- 5. Guided random search methods -- 6. Constrained optimization -- 7. Multiobjective optimization -- 8. Geometric programming -- 9. Multidisciplinary design optimization -- 10. Integer programming -- 11. Dynamic programming.

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Subjects

Mathematical optimization MATLAB Numerical analysis -- Computer programs Optimisation mathématique

Writers

Arora, Rajesh Kumar

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