Ranchi University 2008 M.B.A Management Science [CP-202] - Question Paper

Full Marks: 70 Time three hours

Candidates are needed to provide their answers in their own word as far as practicable

The ques. are of equal value

ans any 5 ques.

1. discuss the importance of operations research in the decision-making process.

2. How does decision-making under uncertainty differ from decision making under risk? What valuation criteria can be used to choose optimal decision alternatives?

3. Reduce the subsequent game to (2×2) by graphical method and hence solve the games:
Player B
B1 B2 B3 B4
A1 1 4 -2 -3
Player A A2 2 1 4 5

4. (a) describe inventory. elaborate the different kinds of inventory? Why are they maintained?
(b) An item is produced at the rate of Rs. 50 items per day. The demand occurs at the rate of 25 items per day. If the set up cost is Re. 0.01 per unit of item per day. obtain the economics lot size for 1 run, assuming that shortages are not permitted. Also obtain the time of cycle and minimum total cost for 1 run.

5. (a) A postal clerk can service a customer in three minutes, the service time being exponentially distributed. The inter arrival time of customer is also exponentially distributed with an avg. of 12 minutes during early morning slack period and an avg. of five minutes during the afternoon peak period. Assess the avg. queue length and the expected waiting time in the queue during the 2 periods.
(b) Write a short note on Goal programming.

6. Solve the subsequent transportation issue using VAM in order to maximize total transportation cost:
Destinations
Origins D1 D2 D3 D4 D5 Availabilities
O1 3 5 8 9 11 20
O2 5 4 10 7 10 40
O3 2 5 8 7 5 30
Requirements 10 15 25 30 40


7. 5 various machines can do any of the 5 needed jobs, with various profits resulting from every assignments as shown below:
Machines
A B C D E
1 30 37 40 28 40
2 40 24 27 21 36
Jobs 3 40 32 33 30 35
4 25 38 40 36 36
5 29 62 41 34 39

obtain out the maximum profits possible through optimum assignment.

8. (a) Distinguish ranging from CPM and PERT.
(b) "Time is the dominant variable in the PERT model." Do you agree? Comment.

9. (a) What is simulation? Why simulation used? provide 1 application area when this technique used in practice.

(b) discuss the steps involved in Monte Carlo simulation.

10. Write short notes on (any two)
(a) Decision tree
(b) Routing issue
(c) Branch and bound technique
(d) ABC classification
(e) Limitation of game theory

Earning:   Approval pending.