ISYE 6644 FINAL EXAM VERSION 2 SIMULATION EXAM
COMPLETE QUESTIONS AND DETAILED SOLUTIONS
LATEST UPDATE THIS YEAR JUST RELEASED
Question 1: Suppose X is a discrete random variable that can take
on four possible values: −0.1, 0, 2, and 4. The associated
probabilities are, respectively: 0.3, 0.1, 0.2, and 0.4. Find an
expression in Arena to generate one observation coming from this
p.m.f.
Answer:
DISC(0.3, −0.1, 0.4, 0, 0.6, 2, 1, 4)
Question 2: DISC(F(x1), x1, F(x2), x2, . . .) Suppose there are 3
people in the line called joe.queue and 5 people in the line called
tom.queue. What is the value of the following Arena expression?
(NQ(joe.queue) > NQ(tom.queue)) + (TNOW >= 0
Answer:
The logical expression (NQ(joe.queue) > NQ(tom.queue)) is false (because 3
≤ 5) and therefore 0. The logical expression (TNOW >= 0) is always true (since
time is always at least 0) and therefore 1. Thus, 0 + 1 = 1
Question 3: TRUE or FALSE? The Arena Call Center model
discussed in class used a nonhomogeneous Poisson process
arrival process (with rates varying throughout the day).
Answer:
TRUE
, Question 4: Regarding Linear Congruential Generators (LCG's),
select the statement that is correct.
Answer:
Both full periodicity and cycle length properties should be considered when
choosing a good LCG.
Question 5: We are testing a new medication. Our null hypothesis,
H0, is the assumption that the medication is safe. If we reject this
null hypothesis but the medication is actually safe, what type of
error have we committed?
Answer:
Since we have incorrectly rejectedthe null hypothesis of safety, we have
committed a Type I error
Question 6: TRUE or FALSE? In Arena, it is not possible use a
single DECIDE module to randomly route customers to one of three
or more destinations.
Answer:
FALSE
Question 7: TRUE or FALSE? In Arena, you can use the expression
EXPO(3) to generate exponential interarrival times having a mean
of 3.
Answer:
TRUE
Question 8: TRUE or FALSE? In Arena, an alternative expression to
generate exponential interarrival times having a mean of 3 is
COMPLETE QUESTIONS AND DETAILED SOLUTIONS
LATEST UPDATE THIS YEAR JUST RELEASED
Question 1: Suppose X is a discrete random variable that can take
on four possible values: −0.1, 0, 2, and 4. The associated
probabilities are, respectively: 0.3, 0.1, 0.2, and 0.4. Find an
expression in Arena to generate one observation coming from this
p.m.f.
Answer:
DISC(0.3, −0.1, 0.4, 0, 0.6, 2, 1, 4)
Question 2: DISC(F(x1), x1, F(x2), x2, . . .) Suppose there are 3
people in the line called joe.queue and 5 people in the line called
tom.queue. What is the value of the following Arena expression?
(NQ(joe.queue) > NQ(tom.queue)) + (TNOW >= 0
Answer:
The logical expression (NQ(joe.queue) > NQ(tom.queue)) is false (because 3
≤ 5) and therefore 0. The logical expression (TNOW >= 0) is always true (since
time is always at least 0) and therefore 1. Thus, 0 + 1 = 1
Question 3: TRUE or FALSE? The Arena Call Center model
discussed in class used a nonhomogeneous Poisson process
arrival process (with rates varying throughout the day).
Answer:
TRUE
, Question 4: Regarding Linear Congruential Generators (LCG's),
select the statement that is correct.
Answer:
Both full periodicity and cycle length properties should be considered when
choosing a good LCG.
Question 5: We are testing a new medication. Our null hypothesis,
H0, is the assumption that the medication is safe. If we reject this
null hypothesis but the medication is actually safe, what type of
error have we committed?
Answer:
Since we have incorrectly rejectedthe null hypothesis of safety, we have
committed a Type I error
Question 6: TRUE or FALSE? In Arena, it is not possible use a
single DECIDE module to randomly route customers to one of three
or more destinations.
Answer:
FALSE
Question 7: TRUE or FALSE? In Arena, you can use the expression
EXPO(3) to generate exponential interarrival times having a mean
of 3.
Answer:
TRUE
Question 8: TRUE or FALSE? In Arena, an alternative expression to
generate exponential interarrival times having a mean of 3 is
