Question Paper: Simulation & Modelling : Question Paper May 2014 - Information Technology (Semester 7) | Mumbai University (MU)
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## Simulation & Modelling - May 2014

### Information Technology (Semester 7)

TOTAL MARKS: 100
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any four from the remaining questions.
(3) Assume data wherever required.
(4) Figures to the right indicate full marks.
1 (a) Explain the properties of random numbers(5 marks) 1 (b) Define the following terms -
(i) Activity (ii) System (iii) Simulation (iv) Delay (v) Model
(5 marks)
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 marks) 1 (d) Explain Time series input model.(5 marks) 2 (a) Explain the steps in simulation study.(10 marks) 2 (b) Distinguish between -
(i) Terminating and non-terminating simulation
(ii) Endogenous and exogenous event
(iii) Random numbers and random variates.
(10 marks)
3 (a) Describe the characteristics of queuing systems. Name and explain some of the useful statistical models for queuing system.(10 marks) 3 (b) Explain inventory system. Discuss the cost involved in inventory systems.(10 marks) 4 (a) Describe the procedure to generate samples from :-
(i) Erlang distibution
(ii) Exponential distribution.
(10 marks)
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 marks) 5 (a) What do you understand by model verification and validation? Describe Briefly the various method of validating input model.(10 marks) 5 (b) Describe initialization bias in steady-state simulation.(10 marks) 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)
(10 marks)
6 (b) What are the method used to generate random numbers?(10 marks)

### Write shot notes on (any two) :-

7 (a) Cobweb model.(10 marks) 7 (b) Selection of a simulation software(10 marks) 7 (c) Manufacturing system simulation(10 marks)