ISYE-6644 EXAM 1 SIMULATION QUESTIONS
AND CORRECT ANSWERS (VERIFIED
ANSWERS) PLUS RATIONALES 2026 Q&A |
INSTANT DOWNLOAD PDF
Core Domains
• Simulation Fundamentals and Concepts
• Probability and Statistics for Simulation
• Queueing Theory and Simulation Output Analysis
• Random Number and Random Variate Generation
• Arena Simulation and Modeling
Introduction
The ISYE-6644 Exam 1 assesses the engineering and science student's
competency in simulation and modeling principles. The examination
evaluates knowledge of discrete-event simulation fundamentals,
probability distributions, queueing theory, random number generation,
and statistical estimation. Questions incorporate multiple-choice and
computational formats requiring analytical reasoning and mathematical
problem-solving. Emphasis is placed on identifying appropriate
simulation methodologies, applying probability theory to real-world
scenarios, and interpreting statistical outputs. This assessment ensures
practitioners demonstrate the quantitative skills necessary for effective
simulation-based engineering analysis.
SECTION ONE: QUESTIONS 1–60
,Question 1
True or False? Discrete-event simulations are particularly suitable for
analyzing continuous-flow phenomena such as the velocity and altitude
of an aircraft as it comes in for a landing.
A. True
B. False
B. False
RATIONALE: Discrete-event simulations model systems where
changes occur at specific points in time, making them unsuitable for
continuous-flow phenomena. Aircraft velocity and altitude require
continuous data representation, which demands differential equations or
continuous simulation approaches rather than discrete-event modeling .
Question 2
Consider a single-server queue simulation with i.i.d. exponential
interarrivals, i.i.d. exponential services, and a first-in-first-out service
discipline. The arrival rate is 5 per hour, and the service rate is 4 per hour.
What will happen in the long run?
A. The queue will remain stable with moderate wait times
B. The server will be busy all of the time
C. The system will reach steady state quickly
D. Customers will rarely wait
B. The server will be busy all of the time
RATIONALE: When arrival rate (λ = 5) exceeds service rate (μ = 4),
traffic intensity ρ = λ/μ > 1, making the system unstable. The queue grows
without bound, and the server remains continuously busy in the long run .
, Question 3
If the covariance of X and Y is 1/2, then X and Y cannot be independent.
A. True
B. False
A. True
RATIONALE: Independence requires Cov(X,Y) = 0. A non-zero
covariance indicates a statistical relationship, thus violating the condition
for independence .
Question 4
The planet Glubnor has 120-day years. Suppose there are four
Glubnorians in the room. What is the probability that at least two of them
share the same birthday?
A. 0.025
B. 0.049
C. 0.075
D. 0.120
B. 0.049
RATIONALE: Using the complement principle: P(no shared birthday)
= (120/120)(119/120)(118/120)(117/120) ≈ 0.951. Therefore, P(at least
two share) = 1 - 0.951 = 0.049 .
Question 5
Suppose the arrivals of clients to a bank can be modeled as a Poisson
process with a given hourly rate. Then the number of clients arriving
AND CORRECT ANSWERS (VERIFIED
ANSWERS) PLUS RATIONALES 2026 Q&A |
INSTANT DOWNLOAD PDF
Core Domains
• Simulation Fundamentals and Concepts
• Probability and Statistics for Simulation
• Queueing Theory and Simulation Output Analysis
• Random Number and Random Variate Generation
• Arena Simulation and Modeling
Introduction
The ISYE-6644 Exam 1 assesses the engineering and science student's
competency in simulation and modeling principles. The examination
evaluates knowledge of discrete-event simulation fundamentals,
probability distributions, queueing theory, random number generation,
and statistical estimation. Questions incorporate multiple-choice and
computational formats requiring analytical reasoning and mathematical
problem-solving. Emphasis is placed on identifying appropriate
simulation methodologies, applying probability theory to real-world
scenarios, and interpreting statistical outputs. This assessment ensures
practitioners demonstrate the quantitative skills necessary for effective
simulation-based engineering analysis.
SECTION ONE: QUESTIONS 1–60
,Question 1
True or False? Discrete-event simulations are particularly suitable for
analyzing continuous-flow phenomena such as the velocity and altitude
of an aircraft as it comes in for a landing.
A. True
B. False
B. False
RATIONALE: Discrete-event simulations model systems where
changes occur at specific points in time, making them unsuitable for
continuous-flow phenomena. Aircraft velocity and altitude require
continuous data representation, which demands differential equations or
continuous simulation approaches rather than discrete-event modeling .
Question 2
Consider a single-server queue simulation with i.i.d. exponential
interarrivals, i.i.d. exponential services, and a first-in-first-out service
discipline. The arrival rate is 5 per hour, and the service rate is 4 per hour.
What will happen in the long run?
A. The queue will remain stable with moderate wait times
B. The server will be busy all of the time
C. The system will reach steady state quickly
D. Customers will rarely wait
B. The server will be busy all of the time
RATIONALE: When arrival rate (λ = 5) exceeds service rate (μ = 4),
traffic intensity ρ = λ/μ > 1, making the system unstable. The queue grows
without bound, and the server remains continuously busy in the long run .
, Question 3
If the covariance of X and Y is 1/2, then X and Y cannot be independent.
A. True
B. False
A. True
RATIONALE: Independence requires Cov(X,Y) = 0. A non-zero
covariance indicates a statistical relationship, thus violating the condition
for independence .
Question 4
The planet Glubnor has 120-day years. Suppose there are four
Glubnorians in the room. What is the probability that at least two of them
share the same birthday?
A. 0.025
B. 0.049
C. 0.075
D. 0.120
B. 0.049
RATIONALE: Using the complement principle: P(no shared birthday)
= (120/120)(119/120)(118/120)(117/120) ≈ 0.951. Therefore, P(at least
two share) = 1 - 0.951 = 0.049 .
Question 5
Suppose the arrivals of clients to a bank can be modeled as a Poisson
process with a given hourly rate. Then the number of clients arriving
