Operations Research (Electives POM)

Paper Code: 
MBP-424
Credits: 
4.0
Contact Hours: 
40.00
Max. Marks: 
100.00
Objective: 
  • To provide a formal quantitative approach to problem solving and an intuition about situations where such an approach is appropriate.
  • To introduce some widely-used mathematical models. The understanding of these models will allow the students to communicate with persons who use them and to evaluate the results they present.
  • To provide a tool that the students can use to solve management problems
10.00
Unit I: 
Linear Programming Problems (LPP)

An overview and scope of Operations Research, Introduction to Linear Programming (LP), Illustration of LP Problems, Formulation exercises on LP Problems, Graphical Method of solving LPP, Simplex Method, Unboundedness, Multiple Optimum Solutions, Degeneracy and Cycling Problems, Artificial Variables : Big-M Method

5.00
Unit II: 
Sensitivity Analysis in LPP

Sensitivity Analysis, Duality Problem, Economic Interpretation of Simplex Tableau, Computer Software for Solving LPP. Special Types of LPP

8.00
Unit III: 
Transportation and Assignment problems

Formulation of Transportation Problems, Sensitivity Analysis in Transportation Problems, Assignment Problem.

7.00
Unit IV: 
Integer and Goal Programming Problems

Formulation, Cutting Plane Method, Branch and Bound Method, Applications, Single and Multiple Goal Programming Problems.

10.00
Unit V: 
Markov Chains

Queuing Theory, Concepts, Transition Probabilities, Steady-State Probabilities, Applications Dynamic Programming Problems

Essential Readings: 
  • C. R. Kothari, “Quantitative Techniques”, Vikas Publishing House
  • Charles P Bonini, warren Hausman and Harold Bierman, Quantative analysis for management, Irwin/Mc Graw Hill
References: 
  1. Operations Research”, J. K. Sharma, McMillan India
  2. Quantitative Techniques in Management”, N. D. Vohra, Tata McGraw Hill Publications
  3. Quantitative Methods for Business, Anderson Williams, 10th Edition Thopson
  4. Tulisian, Quantitative Techniques Theory and Problems, Pearson Education.
  5. S. D. Sharma, Operations Research, Kedar Nath and Ram Nath & Co. Ltd.