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Posted By: b.thirumaya prabhu Member Level: Gold Posted Date: 01 Jun 2008
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2007 Jawaharlal Nehru Technological University B.E Computer Science IV B.Tech I Semester Supplementary Examinations, February 2007 Question paper
Code No: RR410508 SET NO:3
IV B.Tech I Semester Supplementary Examinations, February 2007
MATHEMATICAL MODELLING &SIMULATION
(Common to Computer Science & Engineering and Electronics & Computer Engineering)
Time: 3 hours Max Marks:80
Answer any FIVE Questions
All Questions carry equal marks
*****
1. a) What are various phases of O.R.problem? Explain them Briefly?[Marks 6]
b) A toy manufacturer produces two types of dolls : a basic version doll A and a deluxe version doll B. Each doll of type B takes as long to produce as one doll of Type A. The company have time to make a maximum of 2000 dolls per day and each type requires equal amount of it. The deluxe version, i.e. type B requires a fancy dress of which there are only 600 per day Available. If the Company makes a profit of Rs.30 and Rs.50 per doll, respectively on doll A and B; how many of each should be produced per day in order to maximize profit? Solve it by Graphical method. [Marks 10]
2. a) What is a non-linear programming problem? Give two examples of NLPP stating clearly why do you so classify them [Marks 10 ]
b) Give canonical form of non-linear programming problem. [Marks 6 ]
3.a) A news paper boy buys papers for 5 paise each and sells them for 6 paise each. He cannot return unsold news papers. Daily demand R for news papers follows the distribution:
R 10 11 12 13 14 15 16
PR 0.05 0.15 0.40 0.20 0.10 0.05 0.05
If each day’s demand is independent of the previous day’s , how many papers should be order each day. [Marks 10 ]
b) Explain the following terms in inventory:
i. Lead time
ii. Re-order point
iii. Safety stock [Marks 6 ]
4. What is the ABC analysis? Why it is necessary? What are the basis steps in implementing IT? [Marks 16 ]
5. With respect to queuing theory, explain the following:
a) Cost models in queuing theory
b) Non- Poisson queues. [Marks 8+ Marks 8]
6. A company in the business of manufacturing equipments for chemical industry has taken up an order. The work to execute the order comprise following set of activities with time indicated against each.
Activity Immediate preceding activity Activity time (week)
A - 3
B - 4
C A 5
D A 6
E C 7
F D 8
G B 9
H E,F,G 3
Estimate the time needed for completing the work or due date that can be promised to customer [Marks 16 ]
7.a) Explain the properties of random numbers. [Marks 8 ]
b) Discuss about the computer generation of random numbers [Marks 8 ]
8. Explain the iterative process of calibrating a model with a schematic diagram. [Marks 16 ]
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