Question Paper: Simulation & Modelling Question Paper - May 2016 - Information Technology (Semester 7) - Mumbai University (MU)
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## Simulation & Modelling - May 2016

### MU Information Technology (Semester 7)

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) State when simulation appropriate. 5 marks

1(b) What are the characteristics of queuing system? 5 marks

1(c) Define system state, event notice, activity, delay and clock. 5 marks

2(a) Explain Inverse transform to generate random variate. 5 marks

2(b) What is world view? Discuss different types of world views. 5 marks

3(a) The sequence of numbers {0.12,0.01,0.23,0.28,0.89,0.31,0.64,0.28,03,0.93} has been generated Test the random numbers for independence by runs and down test. Take α = 0.05 and critical value z0.025 = 1.96 5 marks

3(b) Explain Poisson Process along with its properties. 5 marks

4(a) State the properties of random numbers. What are the methods used to generate random numbers? 5 marks

4(b) What is Time Series input model. Explain AR(1) and EAR(1) model. 5 marks

5(a) What do you understand by 'Goodness of Fit Test'? Write the procedure for the same. 5 marks

5(b) Derive steady state parameters for M/G/1 and M/M/1 queue. 5 marks

6(a) A Medical examination is given in three stages by physician. Each stage is exponentially distributed with a mean service time of 20 minutes. Find the probability that exam will take 50 minutes or less. Also determine the expected length of the exam. 5 marks

6(b) What is the purpose of model verification? What are the different ways available to verify a model. 5 marks

### Write short notes on any Two of the following

7(a) Acceptance-rejection Technique 5 marks

7(b) Cobweb Model 5 marks

7(c) issues in Manufacturing System and Material handling system. 5 marks

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