Narayan Rangaraj
Visiting Professor
Mechanical Engineering
IIT Guwahati, 781039
Phone (O): 258-2669, (R): 258-4669
Email : narayan[AT]iitg.ernet.in
Academic/Professional Background
B.Tech (Mechanical Engineering) IIT Bombay (1986)
Ph.D. (Mathematical Sciences) Johns Hopkins University, Baltimore
(1990)
My normal appointment is in the Interdisciplinary Programme on
Industrial Engineering and Operations
Research at IIT Bombay.
Some information on me is available
here.
From January to April 2006, I will be teaching at IIT Guwahati.
Research
My current research interests include Railway Operations Management, Optimisation,
Logistics, and Supply Chain Management
ME 609 - Optimization Methods in Engineering [January-April, 2006]
Introduction to course
Introduction to optimization theory
Descent based methods and the steepest descent method
Conjugate direction methods and Newton methods
Modified Newton methods
Quiz 1 and solutions
Linear Programming
Linear Programming - continued
Linear Programming - an example of degeneracy
Linear Programming - dual simplex and notes on convex programming
Quiz 2 - brief solutions
Mid semester exam - brief (and not so brief) solutions
Introduction to constrained optimization
Constraint qualification, second order optimality conditions. Examples
Quadratic Programming
Introduction to simulated annealing (and an example to work on)
The travelling salesman, knapsack and set covering problems
Introduction to genetic algorithms and Lagrangean relaxation
Quiz 3, Quiz 4 and brief solutions
IMPORTANT ANNOUNCEMENTS
Brief solutions to the end sem exam
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