1 (a)
Explain the properties of random numbers

5 M

1 (b)
Define the following terms -

(i) Activity (ii) System (iii) Simulation (iv) Delay (v) Model

(i) Activity (ii) System (iii) Simulation (iv) Delay (v) Model

5 M

1 (c)
If the interarrival time ranges from 2 to six minutes with equal probability and random digits generated are 51, 27, 63, 89, 11 and 45. Generated FEL with primary events.

5 M

1 (d)
Explain Time series input model.

5 M

2 (a)
Explain the steps in simulation study.

10 M

2 (b)
Distinguish between -

(i) Terminating and non-terminating simulation

(ii) Endogenous and exogenous event

(iii) Random numbers and random variates.

(i) Terminating and non-terminating simulation

(ii) Endogenous and exogenous event

(iii) Random numbers and random variates.

10 M

3 (a)
Describe the characteristics of queuing systems. Name and explain some of the useful statistical models for queuing system.

10 M

3 (b)
Explain inventory system. Discuss the cost involved in inventory systems.

10 M

4 (a)
Describe the procedure to generate samples from :-

(i) Erlang distibution

(ii) Exponential distribution.

(i) Erlang distibution

(ii) Exponential distribution.

10 M

4 (b)
Write down the steps for K-S test. The sequence of numbers 0.54, 0.75, 0.98, 0.12 and 0.68 has been generated. Used K-S test with ?=0.05 to learn whether the hypothesis that the numbers are uniformly distributed on the interval [0,1] can be rejected. (Critical value D?=0.565)

10 M

5 (a)
What do you understand by model verification and validation? Describe Briefly the various method of validating input model.

10 M

5 (b)
Describe initialization bias in steady-state simulation.

10 M

6 (a)
Test the following random numbers for independence by runs up and down test. Take ?=0.05 and critical value Z

(0.12, 0.01, 0.23, 0.28, 0.89, 0.31, 0.64, 0.28, 0.33, 0.93)

_{0.025}=1.96(0.12, 0.01, 0.23, 0.28, 0.89, 0.31, 0.64, 0.28, 0.33, 0.93)

10 M

6 (b)
What are the method used to generate random numbers?

10 M

Write shot notes on (any two) :-

7 (a)
Cobweb model.

10 M

7 (b)
Selection of a simulation software

10 M

7 (c)
Manufacturing system simulation

10 M

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