Nonlinear programming

Start Date
24/07/2017

End Date
18/08/2017

No. of
Enrollments
55 students

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Created by

Gupta S. K
IIT Roorkee
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Course Language
English
Course Type
Scheduled
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Course Category
Engineering
Learning Path
Undergraduate
Course Length
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0 Hours
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Exam Date
To be announced
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29

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Overview

About The Course

This course is offered to UG and PG students of Engineering/Science background. It contains methods to solve nonlinear optimization problems which includes convex programming, KKT optimality conditions, quadratic programming problems, separable methods, geometric and dynamic programming. It also covers some search techniques which are used to solve nonlinear programming problems. It plays a vital role in solving various engineering and science problems.

 

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Intended audience

It is a core course for UG/PG students of technical universities/colleges.

 

Course Plan

Week 1

Convex  Sets and Functions
Properties of Convex Functions-I
Properties of Convex Functions-II
Properties of Convex Functions-III
Convex Programming Problems


Week 2

KKT optimality conditions
Quadratic Programming Problems-I
Quadratic Programming Problems -II
Separable Programming-I
Separable Programming-II


Week 3

Geometric Programming-I
Geometric Programming-II
Geometric Programming-III
Dynamic Programming-I
Dynamic Programming-II


Week 4

Dynamic Programming-III
Dynamic Programming-IV
Search Techniques-I
Search Techniques-II
Search Techniques-III

Suggested Reading

1.    Taha H. A., "Operations Research: An Introduction", MacMillan Pub Co., NY, 9th Edition (Reprint) (2013).
2.    Ravindran A, Phillips D. T., Solberg J. J., "Operations Research: Principles and Practice", John Wiley and Sons, NY, Second Edition (Reprint) (2012)
3.    Bazaraa, M., Sherali, H. D. and Shetty, C. M., "Nonlinear Programming: Theory and Algorithms", Wiley-Interscience; 3rd Ed. (2006)
4.    Himmelblau, D. M., "Applied Nonlinear Prograaming", Mcgraw-Hill (1972)

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Faculty

Gupta S. K


Dr.S.K.Gupta is an Associate Professor in the Department of Mathematics, IIT Roorkee. His area of expertise includes Nonlinear and Fuzzy optimization. He has guided three PhD theses and has published more than 40 papers in various international journals of repute. He has also developed a NPTEL online certification course on “Mathematical methods and its applications” (jointly with Prof. P. N. Agrawal).

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