STUPIDSID
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 Z0.025=1.96
(0.12, 0.01, 0.23, 0.28, 0.89, 0.31, 0.64, 0.28, 0.33, 0.93)
(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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