Question Paper: Simulation & Modelling : Question Paper Dec 2013 - Information Technology (Semester 7) | Mumbai University (MU)
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## Simulation & Modelling - Dec 2013

### Information Technology (Semester 7)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks.
1 (a) Discuss types of simulation models(5 marks) 1 (b) Compare random numbers and random variate(5 marks) 1 (c) How is Pokers test used for testing independence?(5 marks) 1 (d) Event scheduling algorithm.(5 marks) 2 (a) Explain the steps in simulation study in detail.(10 marks) 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 marks)
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 marks)
3 (b) Explain Naylor and Finger validation approach(10 marks) 4 (a) Explain data collection and analysis for input modeling(10 marks) 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 marks) 5 (a) Explain the cobweb model in detail.(10 marks) 5 (b) Explain data collection and analysis for input modeling(10 marks) 6 (a) What is time-series input model? Explain AR(1) and EAR(1) model.(10 marks) 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 marks)

### Write a short notes

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

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