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 Research? 10 marks (300 – 350 words each) Q2. Six Operators are to be assigned to five jobs with the cost of assignment in Rs. given in the matrix below. Determine the optimal assignment.Which operator will have no assignment? 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. 05 At present the track will hold 150 cars. Using the following random numbers etermine 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. 5 +5 = 10 marks (200 – 250 words each) 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 columns. b. Find the saddle point of the following game and state the optimum strategies for layers A and B A B 1 2 3 4 5 1 9 3 1 8 0 2 6 5 4 6 7 3 2 4 4 3 8 4 5 6 2 2 1 5 +5 = 10 marks (200 – 250 words each) Q6. a What are the differences between PERT and CPM? b. A project has eleven activities whose duration is given in the following table: Activity 0-1 1-2 1-3 2-4 2-5 3-4 3-6 4-7 5-7 6-7 7-8 Duration (days) 2 8 10 6 3 3 7 5 2 8 3 i. Draw the network ii. Identify the critical activities and critical path. 5 +5 = 10 marks (200 – 250 words each)