1
ISYE 6644 Midterm Test 1 Simulation and
Modeling Engineering Science Georgia Tech
Actual Exam 2026/2027 with Detailed Rationales
| Complete Exam-Style Questions | Pass
Guaranteed – A+ Graded
TABLE OF CONTENTS
Section 1 | Whirlwind Tour of Simulation & Foundations | Q1 – Q10
Section 2 | Probability & Statistics Bootcamp | Q11 – Q20
Section 3 | Random Number & Random Variate Generation | Q21 – Q30
Section 4 | Hand Simulations & Monte Carlo Methods | Q31 – Q40
Section 5 | Arena & General Simulation Principles | Q41 – Q50
Instructions: Choose the single best answer. Pass: 40 in 90 minutes.
══════════════════════════════════════
SECTION 1: WHIRLWIND TOUR OF SIMULATION & FOUNDATIONS Q1 –
Q10
══════════════════════════════════════
Question 1 of 50
A team of historians is tracing the origins of Monte Carlo methods. They identify
an 18th-century experiment involving throwing a needle onto a striped surface to
estimate the value of π. This experiment is credited to whom?
,2
A. John von Neumann
B. Stanislaw Ulam
C. Comte de Buffon ✓ CORRECT
D. William Gosset
Correct Answer: C
Rationale: The Buffon's needle problem, proposed by Comte de Buffon in 1777, is
widely considered the first instance of using random sampling to estimate a
mathematical constant. Von Neumann and Ulam developed modern Monte Carlo
methods much later in the 1940s at Los Alamos. When studying simulation
history, associate Buffon with early geometric probability and von Neumann/Ulam
with computational Monte Carlo.
Question 2 of 50
An analyst is researching the origins of modern portfolio theory. They find that a
key figure won the Nobel Prize in Economic Sciences in 1990 for applying mean-
variance optimization to portfolio selection. This pioneer is:
A. Harry Markowitz ✓ CORRECT
B. John von Neumann
C. Stanislaw Ulam
D. William Gosset
Correct Answer: A
Rationale: Harry Markowitz won the 1990 Nobel Prize in Economics for his
pioneering work on portfolio theory, which heavily relied on simulation and
statistical modeling of asset returns. Gosset is known for the t-distribution, while
,3
Ulam and von Neumann are famous for the Monte Carlo method. Associate
Markowitz with financial simulation and optimization.
Question 3 of 50
A chemical engineer is modeling the temperature distribution inside a reactor
vessel where temperature changes continuously over space and time. The
mathematical representation uses differential equations without any random inputs.
This model is classified as:
A. Discrete and stochastic
B. Continuous and deterministic ✓ CORRECT
C. Discrete and deterministic
D. Continuous and stochastic
Correct Answer: B
Rationale: The model is continuous because state variables change continuously
over time, and deterministic because it contains no random components. A
common trap is confusing the model's time/view with its stochastic nature; discrete
event simulation usually implies discrete state changes, but the underlying system
here is purely continuous and deterministic. Always separate the time progression
(continuous) from the randomness (deterministic).
Question 4 of 50
Astronomers are predicting the exact time of a solar eclipse decades into the future
using celestial mechanics. The prediction relies entirely on known physical laws
and precise initial conditions, yielding a single definitive outcome. This approach
represents a:
, 4
A. Stochastic dynamic model
B. Stochastic static model
C. Deterministic dynamic model
D. Deterministic static model ✓ CORRECT
Correct Answer: D
Rationale: The eclipse model is deterministic because it uses no random variables,
and static because it resolves to a single prediction without simulating the passage
of time step-by-step in the output phase. A dynamic model would require tracking
the system state over time to reach the conclusion. Differentiate between whether
time is simulated (dynamic) versus whether the output simply represents a fixed
point in time (static).
Question 5 of 50
A logistics manager wants to understand the current state of a warehouse at exactly
2:00 PM, capturing inventory levels and forklift locations without simulating the
operations that led to this state. This snapshot approach is an example of a:
A. Static model ✓ CORRECT
B. Dynamic model
C. Stochastic model
D. Discrete-event model
Correct Answer: A
Rationale: A static model represents a system at a single point in time without
considering the evolution of the system over time. A dynamic model would
ISYE 6644 Midterm Test 1 Simulation and
Modeling Engineering Science Georgia Tech
Actual Exam 2026/2027 with Detailed Rationales
| Complete Exam-Style Questions | Pass
Guaranteed – A+ Graded
TABLE OF CONTENTS
Section 1 | Whirlwind Tour of Simulation & Foundations | Q1 – Q10
Section 2 | Probability & Statistics Bootcamp | Q11 – Q20
Section 3 | Random Number & Random Variate Generation | Q21 – Q30
Section 4 | Hand Simulations & Monte Carlo Methods | Q31 – Q40
Section 5 | Arena & General Simulation Principles | Q41 – Q50
Instructions: Choose the single best answer. Pass: 40 in 90 minutes.
══════════════════════════════════════
SECTION 1: WHIRLWIND TOUR OF SIMULATION & FOUNDATIONS Q1 –
Q10
══════════════════════════════════════
Question 1 of 50
A team of historians is tracing the origins of Monte Carlo methods. They identify
an 18th-century experiment involving throwing a needle onto a striped surface to
estimate the value of π. This experiment is credited to whom?
,2
A. John von Neumann
B. Stanislaw Ulam
C. Comte de Buffon ✓ CORRECT
D. William Gosset
Correct Answer: C
Rationale: The Buffon's needle problem, proposed by Comte de Buffon in 1777, is
widely considered the first instance of using random sampling to estimate a
mathematical constant. Von Neumann and Ulam developed modern Monte Carlo
methods much later in the 1940s at Los Alamos. When studying simulation
history, associate Buffon with early geometric probability and von Neumann/Ulam
with computational Monte Carlo.
Question 2 of 50
An analyst is researching the origins of modern portfolio theory. They find that a
key figure won the Nobel Prize in Economic Sciences in 1990 for applying mean-
variance optimization to portfolio selection. This pioneer is:
A. Harry Markowitz ✓ CORRECT
B. John von Neumann
C. Stanislaw Ulam
D. William Gosset
Correct Answer: A
Rationale: Harry Markowitz won the 1990 Nobel Prize in Economics for his
pioneering work on portfolio theory, which heavily relied on simulation and
statistical modeling of asset returns. Gosset is known for the t-distribution, while
,3
Ulam and von Neumann are famous for the Monte Carlo method. Associate
Markowitz with financial simulation and optimization.
Question 3 of 50
A chemical engineer is modeling the temperature distribution inside a reactor
vessel where temperature changes continuously over space and time. The
mathematical representation uses differential equations without any random inputs.
This model is classified as:
A. Discrete and stochastic
B. Continuous and deterministic ✓ CORRECT
C. Discrete and deterministic
D. Continuous and stochastic
Correct Answer: B
Rationale: The model is continuous because state variables change continuously
over time, and deterministic because it contains no random components. A
common trap is confusing the model's time/view with its stochastic nature; discrete
event simulation usually implies discrete state changes, but the underlying system
here is purely continuous and deterministic. Always separate the time progression
(continuous) from the randomness (deterministic).
Question 4 of 50
Astronomers are predicting the exact time of a solar eclipse decades into the future
using celestial mechanics. The prediction relies entirely on known physical laws
and precise initial conditions, yielding a single definitive outcome. This approach
represents a:
, 4
A. Stochastic dynamic model
B. Stochastic static model
C. Deterministic dynamic model
D. Deterministic static model ✓ CORRECT
Correct Answer: D
Rationale: The eclipse model is deterministic because it uses no random variables,
and static because it resolves to a single prediction without simulating the passage
of time step-by-step in the output phase. A dynamic model would require tracking
the system state over time to reach the conclusion. Differentiate between whether
time is simulated (dynamic) versus whether the output simply represents a fixed
point in time (static).
Question 5 of 50
A logistics manager wants to understand the current state of a warehouse at exactly
2:00 PM, capturing inventory levels and forklift locations without simulating the
operations that led to this state. This snapshot approach is an example of a:
A. Static model ✓ CORRECT
B. Dynamic model
C. Stochastic model
D. Discrete-event model
Correct Answer: A
Rationale: A static model represents a system at a single point in time without
considering the evolution of the system over time. A dynamic model would
