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Course Co-ordinated by IIT Kharagpur
Coordinators
 
Prof. A. Goswami
IIT Kharagpur

 
Dr. Debjani Chakraborty
IIT Kharagpur

 

Download Syllabus in PDF format



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This course covers lessons in geometry of LPP and its graphical solution, integer programming,PERT,shortest path algorithm,multi objective decision making,multi attribute decision making.

   

S.No

Topic

1

Optimization - Introduction

2

Formulation of LPP

3

Geometry of LPP and Graphical Solution of LPP

4

Solution of LPP : Simplex Method

5

Big - M Method

6

Two - Phase Method

7

Special Cases in Simple Applications

8

Introduction to Duality Theory

9

Dual Simplex Method

10

Post Optimaility Analysis

11

Integer Programming - I

12

Integer Programming - II

13

Introduction to Transportation Problems

14

Solving Various types of Transportation Problems

15

Assignment Problems

16

Project Management

17

Critical Path Analysis

18

PERT

19

Shortest Path Algorithm

20

Travelling Salesman Problem

21

Classical optimization techniques : Single variable optimization

22

Unconstarined multivariable optimization

23

Nonlinear programming with equality constraint

24

Nonlinear programming KKT conditions

25

Numerical optimization : Region elimination techniques

26

Numerical optimization : Region elimination techniques (Contd.)

27

Fibonacci Method

28

Golden Section Methods

29

Interpolation Methods

30

Unconstarined optimization techniques : Direct search method

31

Unconstarined optimization techniques : Indirect search method

32

Nonlinear programming : constrained optimization techniques

33

Interior and Exterior penulty Function Method

34

Separable Programming Problem

35

Introduction to Geometric Programming

36

Constrained Geometric Programming Problem

37

Dynamic Programming Problem

38

Dynamic Programming Problem (Contd.)

39

Multi Objective Decision Making

40

Multi attribute decision making

   
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