1
ISYE 6644 FINAL EXAM 2024 EXAM QUESTIONS
WITH DETAILED VERIFIED ANSWERS (100%
CORRECT ANSWERS) /ALREADY GRADED A+
If f(x, y) = cxy for all 0 < x < 1 and 1 < y < 2, where c is whatever value makes this
thing integrate to 1, then X and Y are independent random variables -
(answers)TRUE. (Because f(x, y) = a(x)b(y) factors nicely, and there are no funny
limits.)
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.). - (answers)TRUE — because of the
small chance that a callback will occur.
An entity can be scheduled to visit the same resource twice, with different service
time distributions on the two visits! - (answers)TRUE
Arena has a built-in Input Analyzer tool that allows for the fitting of certain
distributions to data. - (answers)TRUE
The Kolmogorov-Smirnov test can be used both to see (i) if data seem to fit to a
particular hypothesized distribution and (ii) if the data are independent. -
(answers)FALSE. (It's just a goodness-of-fit test.)
Welch's method is a graphical technique to estimate truncation (initialization bias)
points for steady-state simulation. - (answers)TRUE
, 2
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. - (answers)TRUE. That's why it's called the IZ!
TRUE or FALSE? Sequential ranking-and-selection procedures are designed to
stop early if one alternative seems to be way out in front of the others. -
(answers)TRUE
Suppose, when designing a ranking-and-selection procedure, you have decided to
increase the desired probability of correct selection compared to a previous run of
the procedure. What can you expect? (a) Sample sizes that are about the same
(b) Larger sample sizes
(c) Somewhat lower achieved Pr(CS)
(d) A larger indifference zone
(e) Lower confidence in your selection - (answers)b
In Arena, you can use a single DECIDE module to route customers to that one of
four servers having the smallest queue. - (answers)TRUE
TRUE or FALSE? In Arena, you can use the expression EXPO(3) to generate
exponential interarrival times having a mean of 1/3. - (answers)FALSE. The mean
of an EXPO(3) is 3.
TRUE or FALSE? In Arena, an alternative expression to generate exponential
interarrival times having a mean of 1/3 is -(1/3)*LN(UNIF(0,1)) -
(answers)TRUE. This is the Inverse Transform Method to generate an observation
coming from Exp(λ = 3).
ISYE 6644 FINAL EXAM 2024 EXAM QUESTIONS
WITH DETAILED VERIFIED ANSWERS (100%
CORRECT ANSWERS) /ALREADY GRADED A+
If f(x, y) = cxy for all 0 < x < 1 and 1 < y < 2, where c is whatever value makes this
thing integrate to 1, then X and Y are independent random variables -
(answers)TRUE. (Because f(x, y) = a(x)b(y) factors nicely, and there are no funny
limits.)
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.). - (answers)TRUE — because of the
small chance that a callback will occur.
An entity can be scheduled to visit the same resource twice, with different service
time distributions on the two visits! - (answers)TRUE
Arena has a built-in Input Analyzer tool that allows for the fitting of certain
distributions to data. - (answers)TRUE
The Kolmogorov-Smirnov test can be used both to see (i) if data seem to fit to a
particular hypothesized distribution and (ii) if the data are independent. -
(answers)FALSE. (It's just a goodness-of-fit test.)
Welch's method is a graphical technique to estimate truncation (initialization bias)
points for steady-state simulation. - (answers)TRUE
, 2
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. - (answers)TRUE. That's why it's called the IZ!
TRUE or FALSE? Sequential ranking-and-selection procedures are designed to
stop early if one alternative seems to be way out in front of the others. -
(answers)TRUE
Suppose, when designing a ranking-and-selection procedure, you have decided to
increase the desired probability of correct selection compared to a previous run of
the procedure. What can you expect? (a) Sample sizes that are about the same
(b) Larger sample sizes
(c) Somewhat lower achieved Pr(CS)
(d) A larger indifference zone
(e) Lower confidence in your selection - (answers)b
In Arena, you can use a single DECIDE module to route customers to that one of
four servers having the smallest queue. - (answers)TRUE
TRUE or FALSE? In Arena, you can use the expression EXPO(3) to generate
exponential interarrival times having a mean of 1/3. - (answers)FALSE. The mean
of an EXPO(3) is 3.
TRUE or FALSE? In Arena, an alternative expression to generate exponential
interarrival times having a mean of 1/3 is -(1/3)*LN(UNIF(0,1)) -
(answers)TRUE. This is the Inverse Transform Method to generate an observation
coming from Exp(λ = 3).
