Course Details
Subject {L-T-P / C} : MA5262 : Optimization { 3-0-0 / 3}
Subject Nature : Theory
Coordinator : Dr. Ankur Kanaujiya
Syllabus
Linear optimization: formulation and geometrical ideas of linear programming problems, simplex method, revised simplex method, duality theory, sensitivity analysis, transportation and assignment problems. Nonlinear optimization: basic theory, method of Lagrange multipliers, Karush-Kuhn-Tucker theory, convex optimization. Numerical optimization techniques: line search methods, gradient methods, Newton's method, conjugate direction methods, quasi-Newton methods.
Course Objectives
- enumerate the fundamental knowledge of linear programming and non-linear programming problems.
Course Outcomes
to apply concept of optimization to solve various engineering problem
Essential Reading
- Singiresu S. Rao, Engineering Optimization Theory and Practice, John Wiley & Sons, INC.
- N. S. Kambo, Mathematical Programming Techniques, East West Press
Supplementary Reading
- Hamdy A. Taha, Operations Research An Introduction, Pearson
- E.K.P. Chong and S.H. Zak, An Introduction to Optimization, Wiley