BA5201-APPLIED OPERATIONS RESEARCH-SYLLABUS

 BA5201

APPLIED OPERATIONS RESEARCH 

I- MBA II-SEMESTER,  

COURSE OBJECTIVE

To learn the concepts of operations research applied in business decision making.

COURSE OUTCOME

To facilitate quantitative solutions in business decision making under conditions of certainty, risk and uncertainty

 

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), Special cases.Dual simplex method. Principles of Duality. Sensitivity Analysis. 

 

UNIT -II   LINEAR PROGRAMMING EXTENSIONS

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. Transshipment 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-III   INTEGER PROGRAMMING AND GAME THEORY

Solution to pure and mixed integer programming problem by Branch and Bound and cutting plane algorithms.Game  Theory-Two  person  Zero  sum  games-Saddle  point,  Dominance  Rule,  Convex Linear Combination (Averages), methods of matrices, graphical and LP solutions

 

 

UNIT-IV  INVENTORY MODELS, SIMULATION AND DECISION THEORY

Inventory  Models –EOQ  and  EBQ  Models  (With  and  without  shortages),  Quantity  Discount Models. Decision making under risk –Decision trees –Decision making under uncertainty. Monte-carlo simulation.  

UNIT V   QUEUING THEORY AND REPLACEMENT MODELS

Queuing  Theory -single  and  Multi-channel  models –infinite  number  of  customers  and  infinite calling source.Replacement Models-Individuals replacement Models (With and without time value of money) –Group Replacement Models

TEXTBOOKS

1. Paneerselvam R., Operations Research, Prentice Hall of India, Fourth Print, 2008

 

2 N. D Vohra, Quantitative Techniques in Management,Tata Mcgraw Hill, 2010.
    

3. Pradeep  Prabakar  Pai,  Operations  Research   -Principles  and  Practice,  Oxford  Higher Education,  

 

 

 

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.Gupta P.K, Hira D.S, Problem in Operations Research, S.Chand and Co, 2007.

 

4. Kalavathy S, Operations Research, Second Edition, Vikas Publishing House, 2004

 

5. Frederick and  Mark  Hillier,  Introduction  to  Management  Science –A  Modeling  and  case    studies approach with spreadsheets, Tata Mcgraw Hill, 2005