| Title | Syllabus | Reference |
|---|---|---|
| Optimization Methods in Engineering Design | Need for optimization and historical development. Classification and formulation of optimisation problem, classical optimization methods Differential calculus, Lagrangian theory, Kuhn Tucker condition. Unconstrained minimization techniques, one dimensional minimization techniques, one dimensional minimization, Fibonnacci, Goldern section and quadratic interpolation methods. Multi- dimensional minimisation, Univariate, Conjugate direction, gradient and variable metric methods. Constrained minimization techniques, penalty function methods, feasible direction and gradient projection method. Introduction to geometric programming, linear programming and simplex method. Examples and applications of the above methods in the recent engineering design literature. | S.S. Rao, Optimization - Theory and Applications, Wiley Eastern Ltd, 1978. R.L. Fox, Optimization Methods for Engineering Design, Addison Wesley, 1971. W.I. Zangwill, Non-Linear Programming, A Unified Approach, Prentice Hall, 1969. |