syllabus

ADVANCED MATHEMATICS (Optimization Techniques)
Course Code : MA 503

Credits : 4

L T P :4 0 0
Linear programming problem, Simplex method (5)

Artificial variables and dual phase method (4)
Non-linear programming problems, unconstrained extremal problems, Necessary and sufficient conditions for extrema, Fibonacci and Golden search methods (6)
Gradient methods (6)
Direct search methods (4)
Constrained extremal problems, Equality constraints, Jacobian and Lagrangean methods (4)
Inequality constraints, extension of Lagrangean method, the Kuhn -Tucker conditions (5)
Direct search methods (3)
Separable, Quadratic, Geometric programming and Linear combination method (8)

BOOK:1.Operations Research, Taha, 8th ed, 2002, Prentice Hall.

REFERENCES:

1. Operations Research, Ravindran, Phillips and Solberg, 2nd edition 2000, John Wiley and Sons.

2. Numerical Methods for Engineers, Chapra and Canale, 4th edition, 2005, Tata Mc Graw Hill.

MASTERS IN ENGINEERING INDUSTRIAL DESIGN ENGINEERING @ PUNJAB ENGINEERING COLLEGE, CHANDIGARH