week-7-homework-spring-2021-simulation-isye-6644-oan-o01(1)
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School
Georgia Institute Of Technology *
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Course
6644
Subject
Industrial Engineering
Date
Apr 3, 2024
Type
Pages
18
Uploaded by UltraEagleMaster364 on coursehero.com
Week 7 Homework - Spring 2021
Due
Mar 14 at 11:59pm
Points
24
Questions
24
Available
Mar 5 at 8am - Apr 30 at 11:59pm about 2 months
Time Limit
None
Attempt History
Attempt
Time
Score
LATEST
Attempt 1
436 minutes
24 out of 24
Score for this quiz: 24
out of 24
Submitted Mar 12 at 2:21am
This attempt took 436 minutes.
1 / 1 pts
Question 1
(Lesson 5.15: Two-Channel Manufacturing Example.) Consider the
demo from class:
Module05-15 - Model 04-01-ElectronicAssembly-slow.doe
If you run the thing for a while, you’ll see that the rework Station gets
pretty clogged up every once in a while – probably because the service
times are EXPO(45) minutes. Let’s suppose that management has
noticed this as well and decides to upgrade that station so that the
service times are now EXPO(10). Go ahead and make this change
and comment on what you see.
c. There are occasionally short lines, but long lines are very rare.
Correct!
Correct!
Week 7 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
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(c).
1 / 1 pts
Question 2
(Lesson 5.15: Two-Channel Manufacturing Example.) To get you in the
mood for this problem, let’s recall the slightly different demo that
incorporates a logic-based equation in the Sealer Process module:
Module05-15 - Model 04-01-ElectronicAssembly-Logic-slow.doe
I’m not going to ask you to run this model, but I’d simply like to know the
value of the related logic expression,
( (1 == 1) * 10 ) + ( (1 == 0) * 5 )
d. 10
Correct!
Correct!
Week 7 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
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Since “1 == 1” is true and “1 == 0” is false, we have
( (1 == 1) * 10 ) + ( (1 == 0) * 5 ) = (1*10) + (0*5) = 10,
so that the answer is (d).
1 / 1 pts
Question 3
(Lesson 5.16: Fake Customers.) Let’s use fake customers to calculate
an exponential probability. In particular, modify the following demo from
class so that you can estimate the probability that an EXPO(2) random
variable (this is the Arena notation for an exponential RV with mean 2)
is > 2.
Module05-16 - Model 04-05 – NormalProb.doe
Hints on how to do the necessary modification:
Go to the Assign module and change the normal RV to the
exponential.
Optional: You might also want to change the name of the fake
customer’s attribute from “Normal Observation” to “Exponential
Observation” just to make things clearer.
Go to the Decide module and make the obvious change to the
condition.
Optional: You might also want to change the counter names in the
Record modules to something more obvious.
Let the run complete and then look at the output! Note that the
demo runs for 1 million samples, so the estimate ought to be very
good.
Week 7 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
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c. about 0.368
Correct!
Correct!
Solution:
The answer is (c). In fact, when I ran my simulation,
367460 out of the 1 million fake customers satisfied the
inequality. Of course, you can calculate the answer exactly (without using
simulation): P(EXPO(2) > 2) = e
= e
= 0.3679. -
λx
-(1/2)2
1 / 1 pts
Question 4
(Lesson 5.17: The Advanced Process Template.) TRUE or FALSE? You
can find individual Seize, Delay, and Release modules in this template.
True
Correct!
Correct!
1 / 1 pts
Question 5
Week 7 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
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(Lesson 5.17: The Advanced Process Template.) Grab the file
Module05-ReleaseHospitalRoomLater.doe
from the website. In this model, customers come in to the hospital, use
a Process module to Seize and Delay an operating room, and then get
Dispose’d. So how are the operating rooms Release’d? Well, any
good hospital room needs to be cleaned. So each time a customer is
about to be Dispose’d, we use a Separate module to clone a copy of
the customer; and this clone uses a Process block to Seize-Delay-
Release a cleaning person. After the cleaning is done, we use an
additional Release module to free up the operating room. The program
runs for 24 simulated hours.
What I would like you to do is to run the same program, except replace
both of the Process modules with appropriate Seize and Delay modules
from the Advanced Process template (the only Release module you’ll
need is already there).
After the program runs for its 24 simulated hours, what is the
approximate utilization of the cleaning person?
b. 21%
Correct!
Correct!
Solution:
(b). You should get pretty much the same (and maybe
even exactly the same) utilization here as you would if you had
run the original program
Week 7 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
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Question 6
(Lesson 5.18: Resource Failures + Maintenance.) What do the entries
in the following screenshots do?
d. The resource Drill Press will fail after 10 customers use it, and will
remain down for Expo(30) minutes.
Correct!
Correct!
(d).
1 / 1 pts
Question 7
Week 7 Homework - Spring 2021: Simulation - ISYE-6644-OAN/O01
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