SIMULATION AND MODELING (SM) DECEMBER 2011 INFORMATION TECHNOLOGY SEMESTER 7
Con. 6762-11. (OLD COURSE) MP-6277
(3 Hours) [Total Marks: 100]
N.B.: (1) Questions No.1 is compulsory.
(2) Attempt any four out of the remaining six questions.
(3) Assume suitable data wherever required.
(4) Figures to the right indicates full marks.
1. (a) Explain in detail 3-step approach of Naylor and finger in the validation process. [10 Marks]
(b) Describe in detail the steps involved in the development of the model of input data.
How do you collect input data? [10 Marks]
2. (a) "Dili-Bahar is a fast food restaurant where customers arrive randomly. Some of the customers
go to the sandwich counter, while the rest go to the soup and beverages counter. Both counters
have exponentially distributed service times.After the customers eat, they pay at a single cash
counter, which again has an exponentially distributed service time. Queues are usually formed
in front of all the counters. A customer leaves after the payment is made". Explain the steps to
develop a simulation model for the fast food restaurant? How will you collect data for validation
of the model? [12 Marks]
(b) What are the advantages and disadvantages of using a special purpose simulation package over
a general-purpose language such as C++? [8 Marks]
3. (a) Give the following sequence of the numbers below. Can the hypothesis that the numbers
are independent be rejected on the basis of the length of runs above and below the mean
at =0.05? (given Z0.025 = 1.96)
0.34 0.90 0.25 0.89 0.87 0.44 0.12 0.21 0.46 0.67
0.83 0.76 0.09 0.64 0.70 0.81 0.04 0.74 0.22 0.74
0.96 0.99 0.27 0.67 0.56 0.41 0.52 0.73 0.99 0.02
(b) Discuss the output analysis for terminating simulations and confidence interval estimation for
a fixed number of replications. [10 Marks]
4. (a) What are pseudo random numbers? Briefly discuss the frequency test for testing whether they
form random sequences. [10 Marks]
(b) Discuss advantages and disadvantages of simulation. [10 Marks]
5. (a) IQ scores are normally distributed throughout society with a mean of 100 and a S.D of
15. A person with an IQ of 140 or higher is called a genius. [9 Marks]
(i) What proportion of people in the society is in genius category.
(ii) What proportion of the society will miss the genius category by 5 or less points?
(iii) An IQ of 110 or better is required to make it through an accredited college or university.
What proportion of society could be eliminated from completing a higher education based
on a low IQ score?
(b) How can we use inverse transformation techniques to sample from the exponential distribution? Explain step by step procedure used in this techniques. [7 Marks]
(c) Explain Lead-Time demand in an inventory system. [4 Marks]
6. (a) What do you mean by time-series input model? Explain both AR(1) and EAR(1)
model. [10 Marks]
(b) The following data were available for the past 10 years on demand and lead time.[6 Marks]
Lead Time : 6.5, 4.3, 6.9, 6.0, 6.9, 6.9, 5.8, 7.3, 4.5, 6.3
Demand : 103, 83, 116, 97, 112, 104, 106, 109, 92, 96
Estimate correlation and covariance.
(c) Name entities, attributes, activities, events and state variables for [4 Marks]
i. Communication System.
ii. Banking systems.
7. Write short notes on(any two) :- [20 Marks]
i) Time advance algorithm
ii) Steps in simulation study
iii) Selection of simulation software
iv) Goals and performance Measures of Manufacturing simulation models.
Also see Simulation and modeling question papers for December 2011
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