ISYE 6644 – Final Exam Simulation Questions And Answers
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 - CORRECT ANSWER ✔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.). - CORRECT ANSWER ✔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! - CORRECT ANSWER ✔TRUE
Arena has a built-in Input Analyzer tool that allows for the fitting of certain distributions to data.
- CORRECT ANSWER ✔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. - CORRECT ANSWER ✔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. - CORRECT ANSWER ✔TRUE
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. -
CORRECT ANSWER ✔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. - CORRECT ANSWER ✔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 - CORRECT ANSWER ✔b
In Arena, you can use a single DECIDE module to route customers to that one of four servers
having the smallest queue. - CORRECT ANSWER ✔TRUE
TRUE or FALSE? In Arena, you can use the expression EXPO(3) to generate exponential
interarrival times having a mean of 1/3. - CORRECT ANSWER ✔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)) - CORRECT ANSWER ✔TRUE. This is the Inverse
Transform Method to generate an observation coming from Exp(λ = 3).
TRUE or FALSE? In Arena, it is possible to set the maximum capacity of a queue from within a
SEIZE module. - CORRECT ANSWER ✔FALSE. It is only possible to set a maximum queue
capacity from within a QUEUE block found in the Blocks template. 2
TRUE or FALSE? In Arena, the expression NORM(-1,2)+NORM(3,2) has the same distribution as
the expression NORM(2,4) - CORRECT ANSWER ✔FALSE. The above expression evaluates to
NORM(2,√ 8) since, in Arena, NORM(x,2) corresponds to a normal random variate with a mean
of x and a standard deviation of 2; so the variance of this random variable is 22 = 4.
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 - CORRECT ANSWER ✔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.). - CORRECT ANSWER ✔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! - CORRECT ANSWER ✔TRUE
Arena has a built-in Input Analyzer tool that allows for the fitting of certain distributions to data.
- CORRECT ANSWER ✔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. - CORRECT ANSWER ✔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. - CORRECT ANSWER ✔TRUE
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. -
CORRECT ANSWER ✔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. - CORRECT ANSWER ✔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 - CORRECT ANSWER ✔b
In Arena, you can use a single DECIDE module to route customers to that one of four servers
having the smallest queue. - CORRECT ANSWER ✔TRUE
TRUE or FALSE? In Arena, you can use the expression EXPO(3) to generate exponential
interarrival times having a mean of 1/3. - CORRECT ANSWER ✔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)) - CORRECT ANSWER ✔TRUE. This is the Inverse
Transform Method to generate an observation coming from Exp(λ = 3).
TRUE or FALSE? In Arena, it is possible to set the maximum capacity of a queue from within a
SEIZE module. - CORRECT ANSWER ✔FALSE. It is only possible to set a maximum queue
capacity from within a QUEUE block found in the Blocks template. 2
TRUE or FALSE? In Arena, the expression NORM(-1,2)+NORM(3,2) has the same distribution as
the expression NORM(2,4) - CORRECT ANSWER ✔FALSE. The above expression evaluates to
NORM(2,√ 8) since, in Arena, NORM(x,2) corresponds to a normal random variate with a mean
of x and a standard deviation of 2; so the variance of this random variable is 22 = 4.
