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AU Optimization Techniques Sem VI - Elective
No Units Titles Sub Titles Chapters
1 Unit 1 Introduction Need and scope of optimization, Historical Development, Statement of optimization problems, Objective function and its surface, design variables, constraints and constraint surface, Classification of optimization problems (Various functions) continuous, discontinuous and discrete) and function behaviour (Monotonic, Non-monotonic and unimodal) VIEW CHAPTERS
2 Unit 2 Classical optimization techniques Differential calculus method, multivariable optimization by method of constrained variation and Lagrangean multipliers (generalised problem), Kuhn-Tucker conditions for optimality VIEW CHAPTERS
3 Unit 3 Non-linear programming Unconstrained minimization-Fibonacci, golden section, Quadratic and cubic interpolation methods for a one-dimensional minimization and Univariate method, Powel's method, Newton's method and Davidon Fletchar powell's method for multivariable optimization, Constrained minimization - Cutting plane method, Zoutendjik's method and penalty function methods VIEW CHAPTERS
4 Unit 4 Linear programming Definitions and theorems - Simplex method - Duality in Linear programming, Plastic analysis and minimum weight design and rigid frame VIEW CHAPTERS
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