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 4

(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?

(i) What is the probability that the first order will call on 4

^{th}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

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 : R

_{0}=10, d=2 and S_{0}^{2}=25.30. Estimate the long-run mean queue length L_{Q}, within ?=2 customers with 90% cinfidence (a=10%). Form the table the value of Z_{0.05}=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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