Optimization Techniques and Applications with Examples

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 techniquesin 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 techniquesin optimization.

Avainsanat:

Guide to Optimization Techniques and Applications with Examples; Text to Optimization Techniques and Applications with Examples; Resource to Optimization Techniques and Applications with Examples; Understanding Optimization Techniques and Applications with Examples; Algorithms, Complexity and Convexity; Optimization Techniques; Approximation Methods; Linear Programming; APPLIED OPTIMIZATION; Integer Programming; Regression and Regularization; Machine Learning Algorithms; Queueing Theory and Simulation; Multiobjective Optimization Constraint-Handling Techniques; Differentiation; Taylor Expansions; Partial Derivatives; Lipschitz Continuity; Integration; Vector Algebra; Matrix Algebra; Matrices; Determinant; Rank of a Matrix; Eigenvalues and Eigenvectors Definiteness; Quadratic Form; Optimization and Optimality; Minimum and Maximum; Feasible Solution; General Formulation of Optimization Problems; Algorithms complexity and convexity