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Sem 7 - OPTIMIZATION TECHNIQUES


MG University S7 Electrical and Electronics (EEE) B.Tech  Syllabus
Module l
Classical optimization techniques: Single variable optimization – Multivariable optimization with no constraints – Hessian matrix – Multivariable saddle point – Optimization with equality constraints – Lagrange multiplier method.
Module 2
Constrained multivariable optimization: Multivariable optimization with inequality constraints – Kuhn-Tucker conditions – Convex programming problem – Quadratic programming.
Module 3
One-dimensional unconstrained minimization: Elimination methods – unrestricted search method – Fibonacci method -Interpolation methods – Quadratic interpolation and cubic interpolation methods.
Module 4
Unconstrained minimization: Gradient of a function – Steepest descent method – Newton’s method -Powells method – Hooke and Jeeve’s method.
Module 5
Integer – Linear programming problem: Gomory’s cutting plane method – Gomory’s method for all integer programming problems, mixed integer programming problems.
References
Optimization theory and application – S.S. Rao, New Age International P. Ltd.
Optimization Concepts and applications in Engineering – A. D. Belegundu, T.R. Chandrupatla, Pearson Education Asia.
Principles of Operations Research for Management – F. S. Budnick, D. McLeavey, R. Mojena, Richard D. Irwin, INC.
Operation Research an introduction – H. A Taha, Eastern Economy Edition.