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ENGINEERING OPTIMIZATION (NME-011)

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Syllabus of ENGINEERING OPTIMIZATION (NME-011)

UNIT I
Introduction:
Historical Developments, and Review of Engineering applications of Optimization Techniques
Linear Programming:
Simplex method, Revised simplex method, Two phase method, Duality, Dual simplex method,
Intgerlinear programming, 0-1 integer linear programming, solution by branch and bound
method.
9
UNIT II
Classical Optimization Techniques: Introduction, Review of single and multivariable
optimization methods with and without constraints, Non-linear one-dimensional minimization
problems, Examples.
8
UNIT-III
Constrained Optimization Techniques: Introduction, Direct methods – Cutting plane method
and Method of Feasibledirections, Indirect methods – Convex programming problems, Exterior
penalty function method, Examples and problems
8
UNIT-IV
Unconstrained Optimization Techniques: Introduction, Direct search method – Random,
Univariate and Pattern searchmethods, Rosenbrock’s method of rotating co-ordinates, Descent
methods – Steepest Decent methods-Quasi-Newton’s andVariable metric method, Examples.
8
UNIT-V
Geometric Programming: Introduction, Unconstrained minimization problems, solution of
unconstrained problem fromarithmetic-geometric inequality point of view, Constrained
minimization problems, Generalized polynomial optimization,Applications of geometric
problems, Introduction to stochastic optimization.

Books and References:
1. Engineering Optimization by Ravindran, Wiley India
2. Engineering Optimization:Theory and Application by S SRao, Wiley India
3. Linear and Non Linear Programming by Luenberger , Narosa

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