Question Paper: Computer Simulation & Modelling Question Paper - May 2016 - Information Technology (Semester 8) - Mumbai University (MU)
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## Computer Simulation & Modelling - May 2016

### MU Information Technology (Semester 8)

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) Briefly explain the steps in simulation study. 5 marks

1(b) Compare random numbers and random numbers and random variate. 5 marks

1(c) Explain data collection and analysis in input modeling. 5 marks

1(d) State queue notation, queue discipline and queue behaviour. 5 marks

2(a) Discuss various costs that are involves in Inventory system. Explain the policy and goal of Inventory system. 5 marks

2(b) Consider the following sequence of 5 numbers
0.15, 0.94, 0.05, 0.51, 0.29
Use the kolmogorov-Smimov test to determine whether the Hypothesis of uniformity can be rejected. Given a=0.05 and the critical value of D=0.565
5 marks

3(a) What is time -series input model? Explain AR(1) and EAR(1) model. 5 marks

3(b) Records pertaining to the monthly number of job-related injuries at an Underground coal mine were being studied by federal agency. The values for the past 100 months were as follows:-

 Injuries per month 0 1 2 3 4 5 6 Frequency of occurrence 35 40 13 6 4 1 1

Apply the chi-square test to these data to rest the hypothesis that the underlying distribution is Poisson. Use the level of significance α=0.05 5 marks

4(a) A tool crib has exponential inter-arrival and service times and serves a very large group of machines. The mean between arrivals is 4 minutes. It takes 3 minutes on the average for a tool-crib attendant to service a mechanic. The attendant is paid $10 per hour and the mechanic is paid$15 per hour. Would it be advisable to have a second tool-crib attendant? 5 marks

4(b) What do you understand by model verification and validation? How would you Validate Input-output transformation of a model? 5 marks

5(a) Give the equation for steady parameters of M/G/1 queue and derive M/M/1 From M/G/1 5 marks

6(a) Explain Manufacturing and Material handling system. 5 marks

6(b) Explain Reliability System in detail. 5 marks

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