7/15/24, 4:29 PM Week 11 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY
Week 11 Homework
Due Nov 10, 2023 at 9:59p.m.
Points 16
Questions 16
Available Nov 3, 2023 at 6a.m. - Nov 13, 2023 at 9:59p.m.
Time Limit None
This quiz is no longer available as the course has been concluded.
Attempt History
Attempt Time Score
LATEST Attempt 1 416 minutes 16 out of 16
Score for this quiz: 16 out of 16
Submitted Nov 10, 2023 at 3:24p.m.
This attempt took 416 minutes.
Question 1
pts
(Lesson 8.1: Introduction to Input Modeling.) It's GIGO time! Let's consider an queueing
system with Exp( ) interarrivals and Exp( ) FIFO services at a single server. You may recall from some
class (either this one or stochastic processes) that the steady-state expected cycle time (i.e., the time
that the customer is in the system, including wait + service) is .
If you were to try this out in Arena, let's say with interarrivals and
services (note the notation change between my usual "Exp" and Arena's ), then we'd get
. Go ahead, see for yourself in Arena, but make sure that you run the
system for 100,000 or so customers so that you can be sure that you're in steady-state!
Finally, here's the GIGO question, which will show what can happen when you mis-model a component
of your process: What is the (approximate) steady-state expected cycle time if you have i.i.d.
interarrivals instead of interarrivals? Note that both interarrival
distributions have the same mean (10), but that doesn't necessarily imply that they'll have the same
expected cycle times. Hint: You may want to use Arena as described above.
a. about 1
b. about 10
Correct!
c. about 23
https://gatech.instructure.com/courses/343052/quizzes/476479 1/10
, 7/15/24, 4:29 PM Week 11 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY
d. about 40
e. about 62
(c). The case has waaaay smaller tails than the , so it's reasonable to assume that the cycle
times will tend to be lower for the case. In fact, after 100,000 customers in Arena, I got an
average time of 23.5. Thus, (c) is the right answer.
Question 2
pts
(Lesson 8.2: Identifying Distributions.) Let's play Name That Distribution!
The number of times a "3" comes up in 10 dice tosses.
a. Bernoulli
Correct!
b. Binomial
c. Geometric
d. Negative Binomial
e. Pareto
(b).
Question 3
pts
(Lesson 8.2: Identifying Distributions.) Name That Distribution!
The number of dice tosses until a 3 comes up.
a. Bernoulli
b. Binomial
Correct!
c. Geometric
d. Negative Binomial
e. Pareto
(c).
https://gatech.instructure.com/courses/343052/quizzes/476479 2/10
Week 11 Homework
Due Nov 10, 2023 at 9:59p.m.
Points 16
Questions 16
Available Nov 3, 2023 at 6a.m. - Nov 13, 2023 at 9:59p.m.
Time Limit None
This quiz is no longer available as the course has been concluded.
Attempt History
Attempt Time Score
LATEST Attempt 1 416 minutes 16 out of 16
Score for this quiz: 16 out of 16
Submitted Nov 10, 2023 at 3:24p.m.
This attempt took 416 minutes.
Question 1
pts
(Lesson 8.1: Introduction to Input Modeling.) It's GIGO time! Let's consider an queueing
system with Exp( ) interarrivals and Exp( ) FIFO services at a single server. You may recall from some
class (either this one or stochastic processes) that the steady-state expected cycle time (i.e., the time
that the customer is in the system, including wait + service) is .
If you were to try this out in Arena, let's say with interarrivals and
services (note the notation change between my usual "Exp" and Arena's ), then we'd get
. Go ahead, see for yourself in Arena, but make sure that you run the
system for 100,000 or so customers so that you can be sure that you're in steady-state!
Finally, here's the GIGO question, which will show what can happen when you mis-model a component
of your process: What is the (approximate) steady-state expected cycle time if you have i.i.d.
interarrivals instead of interarrivals? Note that both interarrival
distributions have the same mean (10), but that doesn't necessarily imply that they'll have the same
expected cycle times. Hint: You may want to use Arena as described above.
a. about 1
b. about 10
Correct!
c. about 23
https://gatech.instructure.com/courses/343052/quizzes/476479 1/10
, 7/15/24, 4:29 PM Week 11 Homework: Simulation - ISYE-6644-OAN/O01/Q/ASY
d. about 40
e. about 62
(c). The case has waaaay smaller tails than the , so it's reasonable to assume that the cycle
times will tend to be lower for the case. In fact, after 100,000 customers in Arena, I got an
average time of 23.5. Thus, (c) is the right answer.
Question 2
pts
(Lesson 8.2: Identifying Distributions.) Let's play Name That Distribution!
The number of times a "3" comes up in 10 dice tosses.
a. Bernoulli
Correct!
b. Binomial
c. Geometric
d. Negative Binomial
e. Pareto
(b).
Question 3
pts
(Lesson 8.2: Identifying Distributions.) Name That Distribution!
The number of dice tosses until a 3 comes up.
a. Bernoulli
b. Binomial
Correct!
c. Geometric
d. Negative Binomial
e. Pareto
(c).
https://gatech.instructure.com/courses/343052/quizzes/476479 2/10
