Simulation & Modelling : Question Paper Dec 2014 - Information Technology (Semester 7)

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Simulation & Modelling - Dec 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 different steps in Simulation study.(10 marks) 1 (b) How will you validate simulation model?(10 marks) 2 (a) For the following data find the Queue Statstics. (Time in minutes). IAT denote inter arrival time and ST denotes the service time. Assume first customer arrives at time=0.

IAT	-	08	06	01	08	03	08	07	02	03
ST	04	01	04	03	02	04	05	04	05	03

(10 marks) 2 (b) Explain the following terms: Event scheduling, Process interaction, activity scanning, bootstrapping and terminating event.(10 marks) 3 (a) The sequence of numbers 0.54, 0.73, 0.98, 0.11 and 0.68 has been generated. Use the Kolmogorov-Smirnov test with ?=0.05 to determine if the hypothesis that the numbers are uniformly distributed on the interval [0,1] can be rejected given D?=0.565.(10 marks) 3 (b) Explain various methods for random numbers generation.(10 marks) 4 (a) The following is set of single digit numbers from a random number generator. Using appropriate test check whether the numbers are uniformly distributed. N=50, ?=0.05 and X²_.05,9= 16.9
6,7,0,6,9,9,0,6,4,6,4,0,8,2,6,6,1,2,6,8,5,6,0,4,7
1,3,5,0,7,1,4,9,8,6,0,9,6,6,7,1,0,4,7,9,2,0,1,4,8(10 marks) 4 (b) Differentiate random variables and random variates. Generate random variates of exponential distribution.(10 marks) 5 (a) Lt X₁ represent the average lead time to deliver (in months), and X₂ the annual demand, for industrial robots. The following data were available on demand and lead time for last ten years. Estimate the correlation and co-yariance.

Lead Time	0.9	6.5	4.3	6.9	6.0	6.9	5.8	7.3	4.5	6.3
Demand	103	83	116	97	112	104	106	109	92	96

(10 marks) 5 (b) Define correlation and covariance. Explain Time-Series model.(10 marks) 6 (a) Derive the steady State parameters of M/G/I queue and M/M/I.(10 marks) 6 (b) What are the issues in manufacturing and material handling system.(10 marks)

Write short notes on any two:

7 (a) Cobweb model.(10 marks) 7 (b) Probability distributions and the process related to them.(10 marks) 7 (c) Need for output Analysis in simulations.(10 marks)

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