12/7/2019 Week 13 Homework: Simulation - ISYE-6644-OAN
Week 13 Homework
Due Nov 24 at 11:59pm Points 9 Questions 9
Available after Nov 15 at 8am Time Limit None
Attempt History
Attempt Time Score
LATEST Attempt 1 10,117 minutes 9 out of 9
Score for this quiz: 9 out of 9
Submitted Nov 24 at 8:58pm
This attempt took 10,117 minutes.
Question 1 pts
(Lesson 9.1: Introduction to Output Analysis.) Which of the following
problems might best be characterized by a finite-horizon simulation?
a. Simulating long-term hurricane patterns
b. Simulating a manufacturing cell 24/7/365
Correct! c. Simulating the operations of a bank from 9:00 a.m. until 5:00 p.m.
d. Simulating the steady-state distribution of a Markov chain
(c). [All of the other answers involve long-run, steady-state
simulations.]
Question 2 pts
, 12/7/2019 Week 13 Homework: Simulation - ISYE-6644-OAN
(Lesson 9.1: Introduction to Output Analysis.) Let's run a simulation whose
output is a sequence of daily inventory levels for a particular product. Which
of the following statements is true?
a. The consecutive daily inventory levels are independent.
b. The consecutive daily inventory levels are uncorrelated.
c. The consecutive daily inventory levels are normally distributed.
Correct!
d. The consecutive daily inventory levels may not be identically distributed.
Just (d). Consecutive inventory levels are rarely i.i.d. normal
Question 3 pts
(Lesson 9.2: A Mathematical Interlude.) BONUS: Suppose that
is a stationary (steady-state) stochastic process with covariance function
, for . We know from class that the
variance of the sample mean can be represented as
We also know from class that for a simple AR(1) process, we have ,
Compute for an AR(1) process with and
.
a. -0.831
b. -0.5
c. 0
Week 13 Homework
Due Nov 24 at 11:59pm Points 9 Questions 9
Available after Nov 15 at 8am Time Limit None
Attempt History
Attempt Time Score
LATEST Attempt 1 10,117 minutes 9 out of 9
Score for this quiz: 9 out of 9
Submitted Nov 24 at 8:58pm
This attempt took 10,117 minutes.
Question 1 pts
(Lesson 9.1: Introduction to Output Analysis.) Which of the following
problems might best be characterized by a finite-horizon simulation?
a. Simulating long-term hurricane patterns
b. Simulating a manufacturing cell 24/7/365
Correct! c. Simulating the operations of a bank from 9:00 a.m. until 5:00 p.m.
d. Simulating the steady-state distribution of a Markov chain
(c). [All of the other answers involve long-run, steady-state
simulations.]
Question 2 pts
, 12/7/2019 Week 13 Homework: Simulation - ISYE-6644-OAN
(Lesson 9.1: Introduction to Output Analysis.) Let's run a simulation whose
output is a sequence of daily inventory levels for a particular product. Which
of the following statements is true?
a. The consecutive daily inventory levels are independent.
b. The consecutive daily inventory levels are uncorrelated.
c. The consecutive daily inventory levels are normally distributed.
Correct!
d. The consecutive daily inventory levels may not be identically distributed.
Just (d). Consecutive inventory levels are rarely i.i.d. normal
Question 3 pts
(Lesson 9.2: A Mathematical Interlude.) BONUS: Suppose that
is a stationary (steady-state) stochastic process with covariance function
, for . We know from class that the
variance of the sample mean can be represented as
We also know from class that for a simple AR(1) process, we have ,
Compute for an AR(1) process with and
.
a. -0.831
b. -0.5
c. 0
