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Bbit 417:Simulation And Modelling Question Paper
Bbit 417:Simulation And Modelling
Course:Bachelor Of Business Information Technology
Institution: Kenya Methodist University question papers
Exam Year:2017
Simulation and modeling (BBIT 417) (CISY 403) 1st trimester 2016
KENYA METHODIST UNIVERSITY
END OF 1'st 'TRIMESTER 2016 (PT) EXAMINATION
SCHOOL : SCIENCE & TECHNOLOGY
DEPARTMENT : COMPUTING AND INFORMATION SCIENCE
UNIT CODE : 'BBIT 417/CISY 403
UNIT TITLE : 'SIMULATION AND MODELING
TIME : 2 HOUR
INSTRUCTIONS
QUESTION ONE (30 MARKS)
Describe the kendall’s notation of queuing networks (3 mks)
Consider simulating a single server queue; identify the exogenous and endogenous variables (4mks)
Customers arrive at a watch repair shop according to a Poisson process at a rate of one per every 10 minutes, and the service time is an exponential r.v. with mean 8 minutes.
Find the average number of customers, the average time a customer spends in the shop, and the average time a customer spends in waiting for service (5mks)
Briefly explain the properties of the following distributions citing examples where they are applicable in real life.
Binomial distribution (3mks)
Normal distribution (3mks)
Poisson distribution (2mks)
Chhabra supermarket has a single cashier. During the rush hours, customers arrive at the rate of 10 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:
(i) Probability that the cashier is idle (2mks)
(ii) Average number of customers in the queuing system (2mks)
(iii) Average time a customer spends in the system (2mks)
(iv) Average number of customers in the queue (2mks)
(v) Average time a customer spends in the queue (2mks)
SECTION B (ANSWER ANY TWO QUESTIONS)
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 0.01
15 0.15
25 0.20
35 0.50
45 0.12
50 0.02
Consider the following sequence of random numbers:
21, 27, 47, 54, 60, 39, 43, 91, 25, 20
Using this sequence, simulate the demand for the next 10 days. Find out the stock situation, if the owner of the bakery shop decides to make 30 cakes ever day. Also estimate the daily average demand for the cakes on the basis of simulated data. (16mks)
Sketch graphs showing surplus and shortage (4mks)
QUESTION THREE
What are the desired properties of a good random numbers generator
(5mks)
Highlight the steps involved in carrying out a simulation exercise
(5mks)
Explain the procedures involved in validating a model (2mks)
Descried the techniques used to generate random numbers. (6mks)
suppose a system consists on n=4 identical components linked in series. What must be the value of p so that r (reliability) equal 0.95 (2mks)
QUESTION FOUR
State any statistical tests used to test for randomness (3mks)
Given the function
f(x)=4x3, Explain how you can generate random numbers from this function using the inverse transform method. (3mks)
Briefly describe the random numbers generators commonly is use (6mks)
why do we use random numbers in simulation (3mks)
What are the advantages for using simulation other than experimenting with real life systems? (5mks)
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