1(a)
Briefly explain the steps in simulation study.

5 M

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

5 M

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

5 M

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

5 M

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

10 M

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

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

10 M

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

10 M

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:-

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

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

10 M

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?

10 M

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

10 M

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

10 M

6(a)
Explain Manufacturing and Material handling system.

10 M

6(b)
Explain Reliability System in detail.

10 M

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