Utkal University, Odisha, Mathematics Semester 5, Linear Programming Syllabus

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Unit - 1 Introduction To Linear Programming Problem

Unit 1

Introduction to linear Programming problem

1.1 Introduction to linear Programming problem

1.2 Theory of simplex method optimality and unboundedness

1.3 The simplex algorithm simplex method in tableau format

1.4 Introduction to artificial variables twophase method BigM method and their comparison.

Unit - 2 Duality

Unit 2

Duality

2.1 Duality formulation of the dual problem primaldual relationships

2.2 Fundamental Theorem of Duality economic interpretation of the dual

Unit - 3 Transportation Problem And Its Mathematical Formulation

Unit 3

Transportation problem and its mathematical formulation

3.1 Transportation problem and its mathematical formulation

3.2 Northwestcorner method least cost method and Vogel approximation method for determination of starting basic solution

3.3 Algorithm for solving transportation problem

3.4 Assignment problem and its mathematical formulation

3.5 Hungarian method for solving assignment problem.

Unit - 4 Game Theory

Unit 4

Game theory

4.1 Formulation of two person zero sum games solving two person zero sum games games with mixed strategies

4.2 Graphical solution procedure

4.3 Linear programming solution of games

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Other Subjects of Semester-5
Linear algebra
Multivariate calculus
Probability and statistics
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