# SMU MBA ASSIGNMENTS

## MB0048 – OPERATIONS RESEARCH – Fall 2014

 DRIVE FALL 2014 PROGRAM MBA/ MBADS/ MBAFLEX/ MBAHCSN3/ PGDBAN2 SEMESTER II SUBJECT CODE & NAME MB0048 OPERATIONS RESEARCH BK ID B1631 CREDITS 4 MARKS 60

Note:  Answer  all  questions.  Kindly  note  that  answers  for  10  marks  questions  should  be approximately of 400 words. Each question is followed by evaluation scheme.

 Q.No Questions Marks Total Marks 1 Explain  the  types  of  Operations  Research  Models.  Briefly  explain  the  phases  of   Operations Research. Meaning of Operations Research   Types of Operations Research Models   Phases of Operations Research 2   4   4 10 2 a. Explain the graphical method of solving Linear Programming Problem.   b. A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper in a week. There are 160 production hours in a week. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper respectively. Formulate this as a Linear Programming   Problem. Meaning of Linear programming problem   Explanation of graphical method of solving Linear Programming   Problem   Formulation of LPP (Objective function & Constraints) 2   4       4 10

 Production Rate 147 148 149 150 151 152 153 Probability 0.05 0.1 0.15 0.2 0.3 0.15 0.05

 3 a. Explain how to solve the degeneracy in transportation problems.   b. Explain the procedure of MODI method of finding solution through optimality test. a.   Degeneracy in transportation problem   b.   Procedure of MODI method 5   5 10 4 a. Explain the steps involved in Hungarian method of solving Assignment problems.   b. What do you mean by unbalanced assignment problem? How do you overcome it? Steps in Hungarian method   Unbalanced assignment problem 6   4 10 5 a. Write a short note on Monte Carlo Simulation.   b. A Company produces 150 cars. But the production rate varies with the distribution.           At  present  the  track  will  hold  150  cars.  Using  the  following  random  numbers determine the average number of cars waiting for shipment in the company and average number of empty space in the truck.  Random Numbers 82, 54, 50, 96, 85, 34, 30, 02, 64, 47. Explanation of Monte Carlo Simulation   Calculation/ Solution to the problem 5   5 10 6 a. Explain the dominance principle in game theory.   b. Describe the Constituents of a Queuing System. c. Differentiate between PERT and CPM. a.   Dominance principle in game theory   b.   Constituents of a Queuing System   c.   Differences between PERT and CPM 4   3   3 10