AT1653 APPLIED OPERATIONS RESEARCH FOR MANAGEMENT M.TECH APPAREL TECHNOLOGY AND MANAGEMENT

ANNA UNIVERSITY :: CHENNAI 600 025
CURRICULUM 2005 – FULL TIME MODE
M.TECH APPAREL TECHNOLOGY AND MANAGEMENT

AT1653 APPLIED OPERATIONS RESEARCH FOR MANAGEMENT 3 0 0 100

Aim
To impart knowledge on operational research in terms of linear programming application to optimization, transportation and game theory, project scheduling and decision theory.

1. LINEAR PROGRAMMING TECHNIQUES: 10

Graphical and Simplex solution for maximizing and minimizing problems – A case of degeneracy in Simplex method – Post optimality analysis, Sensitivity Analysis, Parametric programming – Revised Simplex problem – primal / dual relationship – Goal programming

1. LINEAR PROGRAMMING EXTENSIONS: 15

Transportation problem – North / West corner Solution, stepping stone method, Vogel’s approximate method, Modi method – Degeneracy, imbalance matrix. Assignment model: Branch and Bound Technique, Hungarian method,Trans-shipment problem, Travelling salesmen problem.
3. INTEGER LINEAR PROGRAMMING / GAME THEORY 9
Branch and bound Algorithm, Cutting plane algorithm, the fractional Algorithm, the mixed algorithm, zero-one Integer problem techniques – the additive algorithm, zero-one polynomial programming. Two person – zero sum games: Graphical and L.P. Solutions.
4. DYNAMIC PROGRAMMING AND PROJECT SCHEDULING: 15
Dynamic programming models: Deterministic case. Maximization and Minimization problem. Use of the D.P. techniques to solve the L.P. problems. C.P.M. and P.E.R.T. for Project Scheduling. Resource levelling, crashing, Resource planning.
5. DECISION THEORY: 6
Decision under risk, Decision trees, Decision under uncertainty. Use of Simulation technique for decision making. Case studies for the use of Simulation techniques for decision making. Optimal Simulation run.

TOTAL : 45 Hours

TEXT BOOKS

1. R. Panneerselvam, “Operations Research”, Prentice Hall of India, 2002.
2. P.C.Tulsin, “Quantitative Techniques: Theory and Problems”, Pearson Education, 2002.
3. Ronald L. Rardin, “Optimization in Operations Research” Pearson Education, 1998.
4. Hillier and Lieberman, “Introduction to Operations Research”, McGraw-Hill International Edition, Seventh Edition, 2001
5. Hamdy A Taha, “An Introduction to Operations Research, Prentice Hall, Sixth edition, 2000.
6. Ravindran, Phillips, Solberg, “Operations Research: Principles and practice”, Second edition, John Wiley, 1987.

REFERENCE BOOKS

• U.K. Srivastava, G.V. Shenoy, S. C. Sharma, “ Quantitative Techniques for Managerial Decision”, Second Edition, Prentice Hall of India, 2001
• P. K. Gupta, D.S.Hira, “ Problems in Operations Research”, S. Chand & Company, 2002.
• P.K. Gupta and D.S. Hira, “Operations Research”, S. Chand & Co. Ltd., New Delhi, 2002.
• J. K. Sharma, “Operations Research: Theory and Applications”, Macmillan, 1997.
• C.K. Mustafi, “Operations Research: Methods and Practice”, New Age International (P) Ltd. Publisher, 2000.
• S. Kalavathy, “ Operations Research”, Vikas Publishing House (P) Ltd., 2000