HW 9 Submission
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School
Georgia Institute Of Technology *
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Course
6501
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
docx
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Uploaded by CaptainCoyoteMaster1037
Question 12.1
Describe a situation or problem from your job, everyday life, current events, etc., for which a design of
experiments approach would be appropriate.
I could utilize the design of experiment to determine the strength of glue to use for a major project I
have at my job. We can have many different conditions, such as ways the glue is applied, the type of
glue, and brand to determine how strong it would be. That can be used to identify the best glue option
for my project. This experiment helps to describe any variation in strength of glue under specific
conditions, that can be hypothesized to reflect the variation.
Question 12.2
To determine the value of 10 different yes/no features to the market value of a house (large yard, solar
roof, etc.), a real estate agent plans to survey 50 potential buyers, showing a fictitious house with
different combinations of features.
To reduce the survey size, the agent wants to show just 16 fictitious
houses. Use R’s
FrF2
function (in the
FrF2
package) to find a fractional factorial design for this
experiment: what set of features should each of the 16 fictitious houses have?
Note: the output of
FrF2
is “1” (include) or
“-1” (don’t include) for each feature.
Below I have provided my code and output for 16 observations with 10 yes/no factors. Yes, my factors
could be better, but does what we wanted anyway. The results showcase what each observation
wanted based on the given input.
Question 13.1
For each of the following distributions, give an example of data that you would expect to follow this
distribution (besides the examples already discussed in class).
a.
Binomial: probability a student will be accepted into the High School basketball team (1 =
accepted into the team, 0= not accepted)
b.
Geometric: The probability of hitting a three-pointer in basketball on a certain attempt. (keep
shooting the ball until we get a three-pointer)
c.
Poisson: number of hotel bookings in a day (given time)
d.
Exponential: time it takes customer to get through self-serve cash register in a grocery store
e.
Weibull: how long will it take for a tire to fail for a racecar.
Question 13.2
In this problem you can simulate a simplified airport security system at a busy airport. Passengers arrive
according to a Poisson distribution with λ
1
= 5 per minute (i.e., mean interarrival rate
1
= 0.2 minutes) to
the ID/boarding-pass check queue, where there are several servers who each have exponential service
time with mean rate
2
= 0.75 minutes. [Hint: model them as one block that has more than one
resource.]
After that, the passengers are assigned to the shortest of the several personal-check queues,
where they go through the personal scanner (time is uniformly distributed between 0.5 minutes and 1
minute).
Use the Arena software (PC users) or Python with SimPy (PC or Mac users)
to build a simulation of the
system, and then vary the number of ID/boarding-pass checkers and personal-check queues to
determine how many are needed to keep average wait times below 15 minutes.
[If you’re using SimPy,
or if you have access to a non-student version of Arena, you can use λ
1
= 50 to simulate a busier airport.]
Could not get Arena to work properly on my end.
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