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Simulation And Modelling (Bbit 417) (Cisy 403) 2Nd Trimester 2015 Question Paper

Simulation And Modelling (Bbit 417) (Cisy 403) 2Nd Trimester 2015

Course:Bachelor Of Business Information Technology

Institution: Kenya Methodist University question papers

Exam Year:2015

SIMULATION AND MODELLING (BBIT 417) (CISY 403) 2ND TRIMESTER 2015
KENYA METHODIST UNIVERSITY

END OF 2'ND 'TRIMESTER 2015 (FT) EXAMINATION

FACULTY : COMPUTING & INFORMATICS
DEPARTMENT : COMPUTER SCIENCE & BUSINESS INFORMATION
UNIT CODE : BBIT 417/CISY 403
UNIT TITLE : SIMULATION AND MODELLING
TIME : 2 HOURS

Instructions: Answer question one and any other two questions.

Question One

Describe the kendall’s notation of queuing networks.
(3mks)
Consider simulating a single server queue, identify exogenous and endogenous variables.
(4mks)
Define the following
System.
(1mk)
System reliability
(2mks)
Seed
(2mks)
Explain the properties of the distribution and highlight which area they are applied for modeling.
Binomial distribution.
(3mks)
Poisson distribution
(3mks)
Normal distribution
(3mks)
A supermarket has a single cashier, during rush hours, customers arrive at the rate of ten per hour. The average number of customers that can be processed by the cashier is 12 per hour. On the basis of this information find the following
Probability that the cashier is idle.
(2mks)
Average number of customers in the queuing system
(2mks)
Average time a customer spends in the systems.
(2mks)
Average number of customers in the queue
(2mks)
Average time a customer spends in the queue.
(1mks)
Question Two

A bakery shop keeps stock of a popular brand of cake. Previous experience indicates the daily demand as given below.

Daily demand Probability
0
15
25
35
45
50 0.02
0.14
0.20
0.50
0.12
0.02

Consider the following sequence of random numbers 12, 33, 44, 51, 60, 33, 45, 91, 24, 22. Simulate the demand for the next 10 days and find out the stock situation as the owner of the bakery shop decides to make 32 cakes every day. a) Estimate the daily average demand for the cakes. (16mks)
b) Sketch the outcomes showing surplus and shortages. (4mks)
Question Three

Highlight the desired properties of a good random number generator. (4mks)
Explain the steps involved in carrying out a simulation exercise. (5mks)
Explain the procedures involved in validating a model.
(4mks)
Why are random numbers used in simulation.
(3mks)
Explain the factors considered when choosing a simulation language.
(4mks)
Question Four

Highlight the statistical tests for randomness.
(4mks)
Given a function f(x) = 4x3, explain how you can generate random numbers from this function using the inverse transformed method.
(3mks)
Briefly describe the random numbers generators commonly in use. (6mks)
Highlight the advantage of simulation.
(3mks)
State the little’s formula, and all the condition that it satisfies.
(4mks)
Categories: SIMULATION AND MODELLING | (BBIT 417) | (CISY 403) | 2ND TRIMESTER 2015
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Simulation And Modelling (Bbit 417) (Cisy 403) 2Nd Trimester 2015 Question Paper

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