Operations Research Smu-de Mba Sem 2
Spring 2013
Master of Business Administration- MBA Semester 1 MB0048 –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 Operations
10 marks (300 - 350 words each)
Research?
Q2. Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given
10 marks
in the matrix below. Determine the optimal assignment. Which operator will have no assignment? Operators Jobs 1 2 3 4 5 6 2 5 2 6 1 2 5 8 7 7 2 7 8 6 9 8 3 6 2 3 4 5 4 9 3 8 9 7 5 4 7 4 6 8 6
Q3. a. Explain the Monte Carlo Simulation.
5 +5 = 10 marks (200 - 250 words each)
b. A Company produces 150 cars. But the production rate varies with the distribution. Production Rate Probability 147 0.05 148 0.10 149 0.15 150 0.20 151 0.30 152 0.15 153 0.05
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.
Q4. Explain the Characteristics and Constituents of a Queuing System.
10 marks (300 - 350 words each)
Spring 2013
Q5. a. What do you mean by dominance? State the dominance rules for rows and
5 +5 = 10 marks (200 - 250 words each)
columns. b. Find the saddle point of the following game and state the optimum strategies for players A and B A 1 1 B 2 3 4
Q6.
2 3 5 4 6
3 1 4 4 2
4 8 6 3 2
5 0 7 8 1
9 6 2 5
a What are the differences between PERT and CPM? b. A project has eleven activities whose duration is given in the following table: Activity Duration (days) i. Draw the network ii. Identify the critical activities and critical path. 0-1 2 1-2 8 1-3 10 2-4 6 2-5 3 3-4 3 3-6 7 4-7 5 5-7 2 6-7 8 7-8 3
5 +5 = 10 marks (200 - 250 words each)
Master of Business Administration- MBA Semester 1 MB0048 –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 Operations
10 marks (300 - 350 words each)
Research?
Q2. Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given
10 marks
in the matrix below. Determine the optimal assignment. Which operator will have no assignment? Operators Jobs 1 2 3 4 5 6 2 5 2 6 1 2 5 8 7 7 2 7 8 6 9 8 3 6 2 3 4 5 4 9 3 8 9 7 5 4 7 4 6 8 6
Q3. a. Explain the Monte Carlo Simulation.
5 +5 = 10 marks (200 - 250 words each)
b. A Company produces 150 cars. But the production rate varies with the distribution. Production Rate Probability 147 0.05 148 0.10 149 0.15 150 0.20 151 0.30 152 0.15 153 0.05
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.
Q4. Explain the Characteristics and Constituents of a Queuing System.
10 marks (300 - 350 words each)
Spring 2013
Q5. a. What do you mean by dominance? State the dominance rules for rows and
5 +5 = 10 marks (200 - 250 words each)
columns. b. Find the saddle point of the following game and state the optimum strategies for players A and B A 1 1 B 2 3 4
Q6.
2 3 5 4 6
3 1 4 4 2
4 8 6 3 2
5 0 7 8 1
9 6 2 5
a What are the differences between PERT and CPM? b. A project has eleven activities whose duration is given in the following table: Activity Duration (days) i. Draw the network ii. Identify the critical activities and critical path. 0-1 2 1-2 8 1-3 10 2-4 6 2-5 3 3-4 3 3-6 7 4-7 5 5-7 2 6-7 8 7-8 3
5 +5 = 10 marks (200 - 250 words each)