# DRIVE- WINTER 2015 PROGRAM-MBADS / MBAN2 / MBAHCSN3 / PGDBAN2 / MBAFLEX SEMESTER- II SUBJECT CODE & NAME- MB0048 OPERATIONS RESEARCH

DRIVE- WINTER 2015
PROGRAM-MBADS / MBAN2 / MBAHCSN3 / PGDBAN2 / MBAFLEX
SEMESTER- II
SUBJECT CODE & NAME- MB0048 OPERATIONS RESEARCH

Q1. Describe the framework of Operations Research.
List the seven stages of Operations Research
Briefly explain seven stages of Operations Research 1.25+8.75 (1.25 marks for each stage)=10
Q2. 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.
a. Explain the concept of linear programming
Describe the graphical method of solving Linear Programming Problem
b. Frame/formulate the LPP (Objective function & Constraints) 2+4+4=10
Q3. a. Explain some of the important terms of the transportation problem.
b. Explain the steps of MODI (Modified Distribution) method.
a. List and briefly explain some of the important terms of the transportation problem
b. Describe the procedure of MODI method 2+8=10
Q4. a. Explain the steps involved in Hungarian method of solving Assignment problems.
b. b. Find an optimal solution to an assignment problem with the following cost matrix:
Machines
J1 J2 J3 J4
M1 10 9 7 8
Job M2 5 8 7 7
M3 5 4 6 5
M4 2 3 4 5
(a. List the steps in Hungarian method, b. Solve/ Compute the solution to the problem) 4+6=10
Q5. a. Explain Monte Carlo Simulation.
a. Explain what is Monte Carlo Simulation and list the steps of Monte Carlo Simulation
Q6. State the assumptions of game theory.
b. What are the characteristics of Markov chain?
c. What are the rules for prioritising jobs?
a. List the assumptions of game theory
b. List the characteristics of Markov chain
c. List and briefly explain the rules for prioritising jobs 3+3+4=10

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