MI4406 Applied Operations Research I Syllabus:
MI4406 Applied Operations Research I Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVE :
To learn the fundamentals of operations research to applied in business decision making.
UNIT I INTRODUCTION TO LINEAR PROGRAMMING (LP)
Introduction to applications of operations research in functional areas of management. Linear Programming-formulation, solution by graphical and simplex methods (Primal – Penalty, Two Phase),
UNIT II TRANSPORTATION MODELS
Transportation Models (Minimising and Maximising Problems) – Balanced and unbalanced Problems – Initial Basic feasible solution by N-W Corner Rule, Least cost and Vogel’s approximation methods. Check for optimality. Solution by MODI / Stepping Stone method. Case of Degeneracy. Transhipment Models.
UNIT III ASSIGNMENT MODELS
Assignment Models (Minimising and Maximising Problems) – Balanced and Unbalanced Problems. Solution by Hungarian and Branch and Bound Algorithms. Travelling Salesman problem. Crew Assignment Models.
UNIT IV INVENTORY MODELS
Inventory Models – EOQ and EBQ Models (With and without shortages), Quantity Discount Models.
UNIT V GAME THEORY
Game Theory-Two person Zero sum games-Saddle point, Dominance Rule, Convex Linear Combination (Averages), methods of matrices, graphical and LP solutions.
TOTAL: 45 PERIODS
COURSE OUTCOME :
To facilitate modelling a business situation to arrive at quantitative solutions.
TEXT BOOKS :
1. Paneerselvam R., Operations Research, Prentice Hall of India, Fourth Print, 2008.
2. Gupta P.K, Hira D.S, Problem in Operations Research, S.Chand and Co, 2007.
REFERENCES :
1. Hamdy A Taha, Introduction to Operations Research, Prentice Hall India, Seventh Edition, Third Indian Reprint 2004.
2. G. Srinivasan, Operations Research – Principles and Applications, PHI, 2007.
3. Frederick & Mark Hillier, Introduction to Management Science – A Modeling and case studies approach with spreadsheets, Tata Mcgraw Hill, 2005.