Optimization Techniques and Applications with Examples

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John Wiley & Sons, Sep 19, 2018 - Mathematics - 384 pages

A guide to modern optimization applications and techniques in newly emerging areas spanning optimization, data science, machine intelligence, engineering, and computer sciences

Optimization Techniques and Applications with Examples introduces the fundamentals of all the commonly used techniques in optimization that encompass the broadness and diversity of the methods (traditional and new) and algorithms. The author—a noted expert in the field—covers a wide range of topics including mathematical foundations, optimization formulation, optimality conditions, algorithmic complexity, linear programming, convex optimization, and integer programming. In addition, the book discusses artificial neural network, clustering and classifications, constraint-handling, queueing theory, support vector machine and multi-objective optimization, evolutionary computation, nature-inspired algorithms and many other topics.

Designed as a practical resource, all topics are explained in detail with step-by-step examples to show how each method works. The book’s exercises test the acquired knowledge that can be potentially applied to real problem solving. By taking an informal approach to the subject, the author helps readers to rapidly acquire the basic knowledge in optimization, operational research, and applied data mining. This important resource:

  • Offers an accessible and state-of-the-art introduction to the main optimization techniques
  • Contains both traditional optimization techniques and the most current algorithms and swarm intelligence-based techniques
  • Presents a balance of theory, algorithms, and implementation
  • Includes more than 100 worked examples with step-by-step explanations

Written for upper undergraduates and graduates in a standard course on optimization, operations research and data mining, Optimization Techniques and Applications with Examples is a highly accessible guide to understanding the fundamentals of all the commonly used techniques in optimization.

 

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Contents

Mathematical Foundations
3
5
32
Algorithms Complexity and Convexity
37
Optimization Techniques and Algorithms
63
Constrained Optimization
87
Approximation Methods
103
Applied Optimization
125
7
129
Regularization and Lasso Method
186
Exercises
195
Queueing Theory and Simulation
227
Advanced Topics
249
k Exercises
266
Evolutionary Computation and NatureInspired
279
NatureInspired Algorithms
297
Appendix A Notes on Software Packages
323

7
141
Regression and Regularization
165
Linearization
173
Nonlinear Least Squares
179
Appendix B Problem Solutions
329
Index
345
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About the author (2018)

XIN-SHE YANG, PHD, is Reader/Professor in Modelling and Optimization at Middlesex University London. He is also an elected Bye-Fellow and College Lecturer at Cambridge University, Adjunct Professor at Reykjavik University, Iceland, as well as Distinguished Chair Professor at Xi'an Polytechnic University, China.

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