week-7-homework-spring-2021-simulation-isye-6644-oan-o01(1).pdf

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 https://gatech.instructure.com/courses/165326/quizzes/242503?module_... 1 of 18 4/5/2021, 7:10 PM Downloaded by Albert Long (longalbert039@gmail.com) lOMoARcPSD|36505667

(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 https://gatech.instructure.com/courses/165326/quizzes/242503?module_... 2 of 18 4/5/2021, 7:10 PM Downloaded by Albert Long (longalbert039@gmail.com) lOMoARcPSD|36505667

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 https://gatech.instructure.com/courses/165326/quizzes/242503?module_... 3 of 18 4/5/2021, 7:10 PM Downloaded by Albert Long (longalbert039@gmail.com) lOMoARcPSD|36505667

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 https://gatech.instructure.com/courses/165326/quizzes/242503?module_... 4 of 18 4/5/2021, 7:10 PM Downloaded by Albert Long (longalbert039@gmail.com) lOMoARcPSD|36505667

(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 https://gatech.instructure.com/courses/165326/quizzes/242503?module_... 5 of 18 4/5/2021, 7:10 PM Downloaded by Albert Long (longalbert039@gmail.com) lOMoARcPSD|36505667

1 / 1 pts 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 https://gatech.instructure.com/courses/165326/quizzes/242503?module_... 6 of 18 4/5/2021, 7:10 PM Downloaded by Albert Long (longalbert039@gmail.com) lOMoARcPSD|36505667

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