Get premium membership and access revision papers, questions with answers as well as video lessons.
Got a question or eager to learn? Discover limitless learning on WhatsApp now -
Start Now!
Simulation And Modelling Question Paper
Simulation And Modelling
Course:Bachelor Of Science In Information Technology
Institution: Kca University question papers
Exam Year:2010
UNIVERSITY EXAMINATIONS: 2010/2011
FIRST YEAR STAGE EXAMINATION FOR THE DEGREE OF BACHELOR
OF SCIENCE IN INFORMATION TECHNOLOGY
BIT 2201: SIMULATION AND MODELLING
DATE: DECEMBER 2010 TIME: 2 HOURS
INSTRUCTIONS: Answer question ONE and any other TWO questions
QUESTION ONE
(a) Define the following terms as used in Simulation and Modeling
i) Queue
ii) Simulation
iii) System
iv) System Image
v) State variable (10 Marks)
(b) Explain clearly the main programming simulation tasks. (9 Marks)
(c) i) Distinguish between a point estimate and an interval estimate (4 Marks)
ii) Let X1, X2, . . . , Xn be a random sample from an exponential distribution with parameter ß,
find the maximum likelihood estimate of ß. (7 Marks)
QUESTION TWO
a) Distinguish between model verification and validation. (4 Marks)
b) Consider a single server queuing system. The system starts at time t=0. The arrival time of
customers is: 1.2,1.7, 2.4, 4.0, 6.4, 7.0, 8.0, 8.9, and 9.6. The departure times are: 3.0, 4.6, 5.5,
6.0 and 10.0. Time is in minutes. The first in first out queuing discipline is followed. Simulate
this system for six clients and estimate:
2
i) The average delay in the waiting line (4 Marks)
ii) The average number of clients in the waiting line at time t (9 Marks)
iii) The expected utilization of server. (3 Marks)
QUESTION THREE
(a) Among the most compelling reasons for using simulation, are the benefits that are gained by
managers. Briefly discuss any three. (9 Marks)
(b) Why would simulation be preferred over other modeling approaches? (6 Marks)
(c) Starting with integer 4731, generate at least three random variates in the interval (0, 1) using
the mid square method. (5 Marks)
QUESTION FOUR
The table below shows the probability distribution of a barge arrivals per day at a port.
Number of Arrivals Probability
0 0.13
1 0.17
2 0.15
3 0.25
4 0.20
5 0.10
The unloading rate per day follows the probability distribution given below.
Unloading rate per day Probability
1 0.05
2 0.15
3 0.50
4 0.20
5 0.10
The unloading is done on FIFO basis. Simulate a fifteen day analysis and determine: -
i) The average number of barges delayed. (6 Marks)
ii) The average number of arrivals per day. (6 Marks)
iii) The average number of barges unloaded each day using the numbers provided.
(8 Marks)
3
Arrival random numbers: 52, 06, 50, 88, 53, 30, 10, 47, 99, 37 66, 91, 35, 32, 00
Unload random numbers: 37, 63, 28, 02, 74, 35, 24, 03, 29, 60, 74, 85, 90, 73,59
QUESTION FIVE
(a) Describe any FIVE factors that should be considered when selecting simulation software.
(10 Marks)
(b) Use a mixed linear congruential random number generator with a=67, m=31, c=17
and seed X0 = 117 to generate the first FIVE random variates on [0,1]. (5 Marks)
(c) State any six reasons that justify the need for using simulation. (5 Marks)
More Question Papers
Popular Exams
Return to Question Papers