SIMULATION AND MODELING (SM) DECEMBER 2010 INFORMATION TECHNOLOGY SEMESTER 7
Con. 6039-10 (REVISED COURSE) GT-8964
(3 Hours) [Total Marks: 100]
N.B.: (1) Question No.1 is compulsory.
(2) Out of remaining questions, attempt any four questions.
(3) Assume suitable data wherever required but justify the same.
(4) All questions carry equal marks.
(5) Answer to each new question to be started on fresh page.
(6) Figure to the right in brackets indicate full marks.
(7) Use of statistical table is allowed.
1. (a) State when simulation is appropriate. [5 Marks]
(b) Explain activity scanning approach. [6 Marks]
(c) Design the generator for geometric distribution. [5 Marks]
(d) At sai service station, servicing of a car is performed in three stages. Each stage has
exponential distribution of service time with mean service time 20 minutes. Find the probability
that the car's servicing will take 50 minutes or less. Also find out the expected length of car's
servicing. [4 Marks]
2. (a) Explain in detail an evaluation and selection technique for simulation software. [12 Marks]
(b) Consider the following sequence of 40 numbers. [8 Marks]
Based on runs up and runs down, determine whether the hypothesis of independence can
be rejected, where =0.05
0.67 0.31 0.53 0.91 0.80 0.27 0.61 0.49 0.76 0.85
0.62 0.28 0.55 0.77 0.38 0.65 0.29 0.55 0.83 0.92
0.09 0.33 0.24 0.07 0.30 0.54 0.43 0.66 0.71 0.52
0.11 0.36 0.12 0.78 0.95 0.44 0.50 0.19 0.22 0.38
3. (a) Explain the time shared computer model. [5 Marks]
(b) Draw the event logic diagram for arrival event in single server queuing system. [3 Marks]
(c) A baker is trying to determine how many dozens of bagels to bake each day.
The probability distribution of the number of customers/day is given in table 1. [12 Marks]
Customers order 1, 2, 3, 4, 5 dozens bagels according to the probability distribution given in table 2.
Bagels sell for Rs. 4.40 per dozen. They cost Rs. 3.40 per dozen to make. All bagels not sold at the end of the day are sold at half price to a local grocery store. Assume that the baker baked 20 dozens every day, simulate for 5 days and find out the total profit. Also mentioned your suggestions to baker on the basis of current scenario. Random digits for number of customers/day and dozens ordered/customers is given table 3 and table 4 respectively.
4. (a) A tool crib has exponential interarrival time and service time, and it serves a very large
group of mechanics.The mean time between arrivals is 4 minutes. It takes 3 minutes on the
beverage fro a tool crib attendant to service a mechanic. The attendant is paid Rs.10 per hour
and the mechanic is paid Rs.15 per hour. Would it be advisable to have a second tool crib
attendant? [10 Marks]
(b) State the role of probability and statistics in the area of simulation and modeling. [4 Marks]
(c) State and explain various ways to obtain information about a process if data is not
available. [6 Marks]
5. (a) Explain in detail the method of batch means for interval estimation in steady state
simulation. [12 Marks]
(b) Explain the Cobweb model with suitable example. [8 Marks]
6. (a) Explain in detail verification of simulation model. [10 Marks]
(b) Records pertaining to the monthly number of job related injuries at chemical plant were
being studied by an NGO. The value for the past 100 moths were as follows: [10 Marks]
underlying distribution is Poisson. Use a level of significance, =0.05.
7. (a) Explain the convolution method for random variate generation and design the generator
for Erlang distribution. [6 Marks]
(b) Derive the conservation equation and state its significance. [5 Marks]
(c) What is output analysis? State when it is used. [3 Marks]
(d) State and explain the properties of random numbers and give the method for generating
pseudo random numbers. [6 Marks]
Also see Simulation and modeling question papers for May 2008
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