Kerala University 2012-2nd Sem M.B.A (ft/pt) (2009 scheme) 202:: operations research - Question Paper
SECOND SEMESTER MBA (FULLTIME/PART TIME) DEGREE EXAMINATION,JULY 2012
(2009 SCHEME)
MBA 202:: OPERATIONS RESEARCH
TIME :: 3HOURS
MAX MARKS:: 60
FOR THE QUESTIONPAPER,PLEASE REFER " ATTACHMENTS"
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Reg. No.................................*.....
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Second Semester M B.A. (FT/PT) Degree Examination, July 2012
(2009 Schama)
MBA 202 : OPERATIONS RESEARCH
Time: 3 Hours Max Marks 60
SECTION A
Writshort notes on the following. Answer any five. Each question carries 3 marks. What are the different types of models used in Operations Research 1
!. Explain the term 'degeneracy in Transportation Problem.
3. Nha\ you mean by Sensitivity Analysis ?
What is Monte-Carlo Simulation ?
5. What do you understand by (i) Queue discipline (ii) Arrival pattern ?
6. Explain the term EMV and EVPI.
Ttxplain Two persons Zero sum game.
8. Explain the concept of crashing a project. * (5x3=15 Marks)
SECTION-B
Answer any three questions. Each question carries 10 marks.
9. XYZ company buys in lots of 5(X) boxes which is a 3 month supply. The cost per box is Rs. 125 and the ordering cost is Rs. 150. The inventory carrying cost is estimated at 20% of unit value. What is the total annual cost of the existing inventory policy ? How much money could be saved by employing the EOQ ?
vfrJal :
3165
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10. Solve the following Linear Programming problem : 0
MaxZ= 15 x, + io x2 '
s.t. 4 Xj + 6 Xp <; 360 3X1 180 5 X2 <; 200
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7 Cars arrive at a petrol pump, having one petrol unit, in Poisson fashion with an average of 10 cars per hour. The service time is distributed exponentially with a mean of 3 minutes. Find:
i) average number of cars in the system \
j) average waiting time in a queue. *
12. Solve the following Game with the following pay offs;
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B | ||||||||||||||||||
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From the following table, find the optimal assignment which incurs minimum cost:
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1 |
2 |
3 |
4 | |
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I A |
16 |
10 |
14 |
'ii |
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B |
14 - |
yi 1 |
15 |
15 |
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I c |
I \5 |
15 |
13 |
12 |
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I D |
P3 |
I 12 |
14 |
15 |
(3x10=30 Marks)
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The shipping cterk has wortctd <M lh* Mowing seta*** *o*n
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12 units from Atoll. 1 unit from A to , 9 urtUfcwr? A lo V l5un*iH*nBioiH 7 units from C to I, and one unit from C to W
a) Check that the cterk has the opbmal schedule.
b) Find the optimal schedule and minimum total sfc&Nng cost
c) If the derius approached by a earner of rouie C to II who oflers to reduce hs
rate in the hope of getting some business, by how much most the rate be reduced before the clerk should give him an order.
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15. A project has the following activities and other characteristics | |||||||||||||||||||||||||||||||||||||||||||||||||||||
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i) Draw the PERT network diagram.
ii) Identify the critical path.
iii) Prepare the activity schedule for the project.
iv) Determine the mean project completion time.
v) Find the probability that the project is completed in 36 weeks.
(1x15=15 Marks)
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Attachment: |
| Earning: Approval pending. |
