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MU Information Technology (Semester 8)
Computer Simulation & Modelling
December 2013
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

1 (a) Discuss types of simulation models
5 M
1 (b) Compare random numbers and random variate
5 M
1 (c) How is Pokers test used for testing independence?
5 M
1 (d) Event scheduling algorithm.
5 M

2 (a) Explain the steps in simulation study in detail.
10 M
2 (b) An industrial chemical that will ratard the spread of fire has been developed. The loacal sales representatives have determined from past experience 48% of sales call will result in an order.
(i) What is the probability that the first order will call on 4th sales call of the day?
(ii) If 8 sales call are made on a day, what is the probability of receiving exactly 6 orders?
(iii) If 4 sales call are made before lunch, what is the probability that one or less result in an order?
10 M

3 (a) Consider the following sequence of 5 numbers :0,15,0.94,0.05,0.51 and 0.29
Use the Kolmogorov-Smirnov test determine whether the Hypothesis of uniformity can be rejected, given ?=0.05 and the critical value of D=0.565
10 M
3 (b) Explain Naylor and Finger validation approach
10 M

4 (a) Explain data collection and analysis for input modeling
10 M
4 (b) What are long run measure of performance of Queuing system. Assume : R0=10, d=2 and S02=25.30. Estimate the long-run mean queue length LQ, within ?=2 customers with 90% cinfidence (a=10%). Form the table the value of Z0.05=1.645. How many additional replications required?
10 M

5 (a) Explain the cobweb model in detail.
10 M
5 (b) Explain data collection and analysis for input modeling
10 M

6 (a) What is time-series input model? Explain AR(1) and EAR(1) model.
10 M
6 (b) A CNG station has two filling machines. The service time follows the exponential distribution with mean of 5 minutes and taxis arrives for service in Poisson fashion at rate of 15 per hour. Compute the steady state parameter of this M/M/C system.
10 M

Write a short notes
7 (a) Cost of Inventory system
5 M
7 (b) Poisson Process and distribution
5 M
7 (c) Terminating and no terminating simulation
5 M
7 (d) Issue in simulation of Manufacturing System.
5 M

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