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Spring 2013

Master of Business Administration- MBA Semester 1MB0048

Operations Research- 4 Credits(Book ID: B1631) Assignment Set - 1 (60 Marks)

Note: Assignment Set -1 must be written within 6-8 pages. Answer all questions.Q1.

Explain the scope of Operations Research. What are the features of OperationsResearch?

10 marks

Q2.

Six Operators are to be assigned to five jobs with the cost of assignment in Rs. givenin the matrix below. Determine the optimal assignment. Which operator will have noassignment?

Operators

Jobs

1

2

3

4

5

1

6 2 5 2 6

2

2 5 8 7 7

3

7 8 6 9 8

4

6 2 3 4 5

5

9 3 8 9 7

6

4 7 4 6 8

10 marks

Q3.

a. Explain the Monte Carlo Simulation. b. A Company produces 150 cars. But the production rate varies with the distribution.

Production Rate

147 148 149 150 151 152 153

Probability

0.05 0.10 0.15 0.20 0.30 0.15 0.05At present the track will hold 150 cars. Using the following random numbersdetermine the average number of cars waiting for shipment in the company andaverage number of empty space in the truck. Random Numbers 82, 54, 50, 96, 85,34, 30, 02, 64, 47.

5 +5 = 10marks(200 - 250words each)

Q4.

Explain the Characteristics and Constituents of a Queuing System.

10 marks(300 - 350wordseach)

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