JNTUH B.Tech 4th year (4-1) Optimization Techniques gives you detail information of Optimization Techniques (Elective-II) R13 syllabus It will be help full to understand you complete curriculum of the year.
Objective
This course introduces various optimization techniques i.e classical, linear programming, transportation problem, simplex algorithm, dynamic programming, Constrained and unconstrained optimization techniques for solving and optimizing an electrical and electronic engineering circuits design problems in real world situations.
UNIT-I
Introduction & Classical Optimization Techniques: Statement of an Optimization problem — design vector — design constraints — constraint surface — objective function — objective function surfaces — classification of Optimization problems Single variable Optimization — multi variable Optimization without constraints — necessary and sufficient conditions for minimum/maximum multivariable Optimization with equality constraints. Solution by method of Lagrange multipliers — multivariable Optimization with inequality constraints — Kuhn — Tucker conditions.
UNIT — II
Linear Programming: Standard form of a linear programming problem — geometry of linear programming problems — definitions and theorems — solution of a system of linear simultaneous equations — pivotal reduction of a general system of equations — motivation to the simplex method — simplex algorithm.
UNIT – III
Transportation Problem & Unconstrained Optimization: Finding initial basic feasible solution by north — west corner rule, least cost method and Vogel’s approximation method testing for optimality of balanced transportation problems, One dimensional minimization methods: Classification, Fibonacci method and Quadratic interpolation method. Univariate method, Powell’s method and steepest descent method.
TEXT BOOKS
- Engineering optimization. Theory and practice”. S. S.Rao, New Age International (P) Limited.
- Optimization Methods in Operations Research and systems Analysis, K.V. Mittal and C. Mohan, New Age International (P) Limited.
REFERENCE BOOKS
- Operations Research, Dr. S.D.Shama. Introductory Operations Research, H.S. Kasene & K.D. Kumar, Springer (India), Pvt .LTc.
- Operations Research: An Introduction, H.A.Taha, Pearson Pvt. Ltd.
- Operations Research, Rk,hard Bronson, Govindasami Naadimuthu, Tata Mc Graw — Hill Company Limited.
Outcome
After going through this course the student gets a thorough knowledge on, Optimization of electrical and electronics engineering problems through classical optimization techniques, linear programming, simplex algorithm, transportation problem, unconstrained optimization, constrained non-linear programming and dynamic programming, with which he/she can able to apply the above conceptual things to real world electrical and electronics problems and applications.
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