DRIVE PROGRAM SEMESTER SUBJECT CODE & NAME BOOK ID CREDITS MARKS
ASSIGNMENT FALL 2019 MBA II MBA205 & OPERATIONS RESEARCH B2068 4 30(EACH SET)
Note –The Assignment is divided into 2 sets. You have to answer all questions in both sets. Average score of both assignments scored by you will be considered as your IA score. Kindly note that answers for 10 marks questions should be approximately of 400 words. SET-I Q.No Questions Marks Total Marks 1 What are the different tools of Operation Research? Explain various characteristics of Operations Research. Tools of Operation Research 5 10 5 Characteristics of Operations Research. 2 Explain the Concept of Duality. Write the dual problem for the given primal problem Maximise Z = 50 X1 + 80 X2 Subject to 3 X1 + 7 X2 ≤ 45 (constraints) 4 X1 + 4 X2 ≤ 65 (constraints) 7 X1 + 12 X2 ≤ 50 (constraints) X1 , X2 ≥ 0
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Concept of Duality 5 10 Dual of Primal problem 5 ABC Pvt. Ltd. is currently using a machine that was purchased for Rs 36,000. The resale value of the machine is Rs 12,000. Maintenance cost of machine is 3,000 Rs for first year and then increases by 500 Rs every year. Calculate total and average cost for 12 Years and find the best time to replace the machine. Calculation of Total and Average cost 8 10 Replacement Year 2
SET-II
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Explain the objectives and benefits of Inventory Management. Objectives of Inventory Management 5 10 Benefits of Inventory Management 5 Define following criteria’s used for decision making under Uncertainty a. Optimism (maximax or minimin) criterion b. Pessimism (maximin or minimax) criterion c. Equal probabilities (Laplace) criterion d. Coefficient of optimism (Hurwicz) criterion e. Regret (salvage) criterion a. Optimism (maximax or minimin) criterion 2 10 b. Pessimism (maximin or minimax) criterion 2 c. Equal probabilities (Laplace) criterion 2 d. Coefficient of optimism (Hurwicz) criterion 2 e. Regret (salvage) criterion 2 What are the different Assumptions of game theory in operation research? a. There are six jobs, each of which must go through two machines A and B in the order AB. The processing time of machines (in hours) is given in Table Job Processing Time Machine A Machine B 1 5 12 2 9 10 3 6 3 4 8 9 5 4 8 6 7 6 Determine a sequence for the six jobs that will minimise the elapsed time. Also calculate the idle time for Machine A & Machine B. Assumptions of game theory 4 10 Optimal Sequence 2 Total Ellapsed Time 2 Idle time for Machine A 1 Idle time for Machine B 1