ISYE 6644 OAN/O01/AO Final Exam
Simulation – Questions and Answers |
spring 2026 | 100% Correct – GT.
1. If f(x, y) = cxy for all 0 < x < 1 and 1 < y < 2, where c is whatever value
makes this integrate to 1, are X and Y independent?
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: The joint pdf factors into a function of x and a function of y, and there
are no funny limits, which is a condition for independence .
2. In our Arena Call Center example, it was possible for entities to be left in
the system when it shut down at 7:00 p.m. (even though we stopped allowing
customers to enter the system at 6:00 p.m.).
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: This could happen because of the small chance that a callback would
occur .
3. An entity can be scheduled to visit the same resource twice, with different
service time distributions on the two visits.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: This is possible in Arena, often controlled by an attribute .
,4. Arena has a built-in Input Analyzer tool that allows for the fitting of certain
distributions to data.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: The Input Analyzer is a built-in tool for distribution fitting .
5. The Kolmogorov-Smirnov test can be used both to see (i) if data seem to fit
a particular hypothesized distribution and (ii) if the data are independent.
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: The K-S test is only a goodness-of-fit test; it cannot test for
independence .
6. Welch's method is a graphical technique to estimate truncation
(initialization bias) points for steady-state simulation.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: Welch's method is the standard graphical technique for identifying the
warm-up period .
7. If you are using a ranking-and-selection procedure and two competitors
happen to fall within the indifference-zone, then you don't really care too
much which one you end up selecting.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: The indifference-zone means the difference in performance is
considered practically insignificant .
, 8. Sequential ranking-and-selection procedures are designed to stop early if
one alternative seems to be way out in front of the others.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: Sequential procedures are designed for early stopping when one
alternative dominates .
9. In Arena, it is possible to set the maximum capacity of a queue from within
a SEIZE module.
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: It is only possible to set a maximum queue capacity from within a
QUEUE block found in the Blocks template .
10. In Arena, the expression NORM(-1,2)+NORM(3,2) has the same
distribution as the expression NORM(2,4).
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: The expression evaluates to NORM(2, √8). In Arena, NORM(x,2) has
a standard deviation of 2, so the variance of the sum is 2² + 2² = 8 .
11. In Arena, it is only possible to use one resource at a time in a PROCESS
module.
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: A PROCESS module can be configured to seize multiple resources .
Simulation – Questions and Answers |
spring 2026 | 100% Correct – GT.
1. If f(x, y) = cxy for all 0 < x < 1 and 1 < y < 2, where c is whatever value
makes this integrate to 1, are X and Y independent?
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: The joint pdf factors into a function of x and a function of y, and there
are no funny limits, which is a condition for independence .
2. In our Arena Call Center example, it was possible for entities to be left in
the system when it shut down at 7:00 p.m. (even though we stopped allowing
customers to enter the system at 6:00 p.m.).
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: This could happen because of the small chance that a callback would
occur .
3. An entity can be scheduled to visit the same resource twice, with different
service time distributions on the two visits.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: This is possible in Arena, often controlled by an attribute .
,4. Arena has a built-in Input Analyzer tool that allows for the fitting of certain
distributions to data.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: The Input Analyzer is a built-in tool for distribution fitting .
5. The Kolmogorov-Smirnov test can be used both to see (i) if data seem to fit
a particular hypothesized distribution and (ii) if the data are independent.
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: The K-S test is only a goodness-of-fit test; it cannot test for
independence .
6. Welch's method is a graphical technique to estimate truncation
(initialization bias) points for steady-state simulation.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: Welch's method is the standard graphical technique for identifying the
warm-up period .
7. If you are using a ranking-and-selection procedure and two competitors
happen to fall within the indifference-zone, then you don't really care too
much which one you end up selecting.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: The indifference-zone means the difference in performance is
considered practically insignificant .
, 8. Sequential ranking-and-selection procedures are designed to stop early if
one alternative seems to be way out in front of the others.
A) TRUE
B) FALSE
,,,ANSWER,,,: A) TRUE
Rationale: Sequential procedures are designed for early stopping when one
alternative dominates .
9. In Arena, it is possible to set the maximum capacity of a queue from within
a SEIZE module.
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: It is only possible to set a maximum queue capacity from within a
QUEUE block found in the Blocks template .
10. In Arena, the expression NORM(-1,2)+NORM(3,2) has the same
distribution as the expression NORM(2,4).
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: The expression evaluates to NORM(2, √8). In Arena, NORM(x,2) has
a standard deviation of 2, so the variance of the sum is 2² + 2² = 8 .
11. In Arena, it is only possible to use one resource at a time in a PROCESS
module.
A) TRUE
B) FALSE
,,,ANSWER,,,: B) FALSE
Rationale: A PROCESS module can be configured to seize multiple resources .