Jawaharlal Nehru Technological University Hyderabad 2007 B.E Computer Science MATHEMATICAL MODELLING AND SIMULATION - Question Paper

i. the economic lot size
ii. the number of orders per year
iii. the time ranging from orders
iv. total cost per year if the cost of 1 unit is Rs. 1.

4. What is the ABC analysis? Why it is necessary? elaborate the basis steps in
implementing it? [16]
5. Patients arrive at a clinic according to a poisson distribution at a rate of 30 pa-
tients per hour. The waiting room does not accommodate more than 14 patients.
exam time per patient is exponential with mean rate of 20 per hour. [16]
(a) obtain the effective arrival rate at the clinic
(b) What is the probability that an arriving patient will not wait?
(c) What is the expected waiting time until a patient is discharged form the clinic?
6. A PERT network has the subsequent activities with their time estimates provided below:
Activity Optimistic (days) Most likely (days) Pessimistic (days)
0-1 two 3.5 8
0-2 three 3.75 6
0-3 one 2.5 7
1-2 three 7.5 9
1-5 four 5.5 10
2-4 two five 8
3-4 two 2.75 5
3-5 three six 9
4-5 two five 8
(a) Construct a network and obtain the expected completion time of the project.
(b) obtain the probability of completing the project three days ahead of the expected
schedule. [16]
7. discuss different steps involved in simulation study. [16]
8. discuss the simulation tools with an emphasis on process orientation and event
orientation by stating a few examples for every. [16]

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Code No: RR410508 Set No. 3
IV B.Tech I Semester Regular Examinations, November 2007
MATHEMATICAL MODELLING AND SIMULATION
( Common to Computer Science & Engineering and Electronics &
Computer Engineering)
Time: three hours Max Marks: 80
ans any 5 ques.
All ques. carry equal marks

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1. (a) Write a short notes on the following: [6]
i. Analytical method

Earning:   Approval pending.