GE – LP & Game Theory

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The GE Linear Programming & Game Theory Course for Semester III, Delhi University has been taught by Mr. Dheeraj Suri. The Video Lectures are based upon the books prescribed by the University of Delhi. The Duration of Video Lectures is approximately 35 Hours.

Course Fee : Rs. 6000

Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of Semester III Exams.

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  • Full Course Video Lectures
  • Complete Study Material (PDF Notes) which includes Concepts, Previous Year Questions, Numerical Questions, MCQ’s and Important Questions
  • Online Discussion Forum to Post Your Queries to Discuss with Faculty & other fellow Students
  • Live online Doubts Sessions (at least twice a week) for resolution of Doubts
  • Mock Tests at the Website
  • Video Lectures Cover Theory Portions Exchaustively + Complete Solutions of Back Questions of readings + Solutions of Previous Years Papers + Large Number of Numericals

On Payment of Fee we will create your account on our website & you need to login and download all the lectures & our APP through that login account

Access of Video Lectures is provided on one device, Windows Computer or Android Phone, till end of the Semester II Exams

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Axis Bank, Model Town Branch

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Demo Lectures

Demo PDF of Study Material

Chapter-5-Transportation-Problems

Demo Quiz

Exam Pattern

The Question Paper of 75 Marks

Part

Course Content of Our Video Lectures

Lectures are as per the Latest Syllabus for 2021

Unit 1 : Linear Programming, Simplex Method & Duality

Chapter 1 : Introduction to LPP [180 Minutes]

Based Upon Thie, Paul R., & Keough, G. E. Chapter 2 & 3

Number of Lectures   5 Lectures

Total Duration of Lectures  180 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Introduction to LPP, Formation of LPP, Graphical Method of Solution, Basic Feasible Solution, Unbounded Solution, Multiple Optimal Solutions, Infeasibility, Linear Programming & Convexity 

Chapter 2 : Simplex Method [200 Minutes]

Based Upon Thie, Paul R., & Keough, G. E. Chapter 3

Number of Lectures   5 Lectures

Total Duration of Lectures  200 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Simplex Method, Unbounded Solutions, Multiple Optimal Solutions 

Chapter 3 : Artificial Variables [170 Minutes]

Based Upon Thie, Paul R., & Keough, G. E. Chapter 3

Number of Lectures   4 Lectures

Total Duration of Lectures  170 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Use of Artificial Variables in Simplex Method, BIG M Method, Infeasibility, Solution of Minimization Problems,  

Chapter 4 : Duality [120 Minutes]

Based UponThie, Paul R., & Keough, G. E. Chapter 4

Number of Lectures   3 Lectures

Total Duration of Lectures  120 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Meaning of Dual & Primal, Formation of Dual, Interpretation of Dual 

Unit 2 : Transportation & Assignment Problems

Chapter 5 : Transportation Problems [140 Minutes]

Based Upon Taha, Hamdy A. Chapter 5

Number of Lectures   4 Lectures

Total Duration of Lectures  140 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Introduction to Transportation Problems, Formation of Transportation Problems, Finding Basic Feasible Solution Using : North West Corner Rule, Least Cost Method, Vogel’s Approximation Method; Finding Optimal Solution Using Stepping Stone Method & MODI, Dual of a Transportation Method  

Chapter 6 : Assignment Problems [100 Minutes]

Based Upon Taha, Hamdy A. Chapter 5

Number of Lectures   3 Lectures

Total Duration of Lectures  100 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Introduction to Assignment Problems, Formulation of Assignment Problems, Solution of Assignment Problems Using Hungarian Method, Dual of Assignment Problems

Unit 3 : Two Person, Zero Sum Games

Chapter 7 : Introduction to Game Theory [90 Minutes]

Based Upon Thie, Paul R., & Keough, G. E. Chapter 9

Number of Lectures  2 Lectures

Total Duration of Lectures  90 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Introduction to Game Theory, Formulation of Two Person Zero Sum Rectangular Games, Solution of Rectangular Games with Saddle Points 

Chapter 8 : Game Theory Continued [200 Minutes]

Based Upon Thie, Paul R., & Keough, G. E. Chapter 9

Number of Lectures   4 Lectures

Total Duration of Lectures  200 Minutes

Number of Questions in Notes   Questions

Number of MCQ Tests on this Chapter   Tests

Important Topics Covered

Mixed Strategies, Dominance Rule, Solution of Games Without Saddle Points, Graphical Solution of Games, Solution of Games Using Simplex Method 

End of Syllabus

Course Description

Course Objective: This course develops the ideas underlying the Simplex method computational techniques for linear programming and game theory, having applications in management, social science, industry, warfare, economics and financial sectors, etc.

Course Learning Outcomes: This course will enable the students to learn:
(i) The optimal solution for linear optimization problems subject to certain constraints.
(ii) The dual to a production problem with profits to be maximized to keep total cost down.
(iii) The transportation and Hungarian algorithm specially designed to solve the transportation and assignment problems, respectively.
(iv) The strategies for two-person, zero-sum game are obtained by solving two dual linear programming problems.

Course Contents :

Unit 1. Linear Programming Problem, Simplex Method and Duality
Introduction to Linear Programming Problem: Graphical method of solution, Basic Feasible Solutions, Linear programming and convexity; Introduction to the Simplex method: Theory of the Simplex method, Optimality and unboundedness; The Simplex tableau and examples, Artificial variables; Introduction to Duality, Formulation of the Dual problem with examples and interpretations, The Duality theorem.


Unit 2. Transportation and Assignment Problems
Definition and mathematical formulation of Transportation problem, Methods of finding initial basic feasible solutions, North West corner rule, Least- cost method, Vogel’s approximation method, Algorithm for solving Transportation problem; Mathematical formulation and Hungarian method of solving Assignment problem.

Unit 3. Two-Person, Zero-Sum Games
Introduction to Game theory, Formulation of two-person, Zero-sum rectangular game, Solution of rectangular games with saddle points, Mixed strategies, Dominance principle, Rectangular Games without saddle points, Graphical and linear programming solution of rectangular games.


References:

  1. Taha, Hamdy A. (2010). Operations Research: An Introduction (9th ed.). Pearson.
  2. Thie, Paul R., & Keough, G. E. (2014). An Introduction to Linear Programming and Game Theory. (3rd ed.). Wiley India Pvt. Ltd.