Georgia Tech ISYE 6644 Simulation and Modeling for
Engineering and Science: Exam 3 - Questions with Correct
Answers
100 questions
1. Event-scheduling and process-interaction are:
A. Two random number generators
B. Two goodness-of-fit tests
C. Two world views for modeling discrete-event systems
D. Two output analysis methods
Correct Answer: C. Two world views for modeling discrete-event systems
Rationale: Arena uses process interaction.
2. A terminating simulation is one that:
A. Has a natural ending event, such as a bank that closes at 5 pm
B. Runs forever
C. Has no initial conditions
D. Only uses continuous variables
Correct Answer: A. Has a natural ending event, such as a bank that closes at 5 pm
Rationale: Finite horizon.
3. Next-event time advance means the clock:
A. Advances by a fixed small increment every step
B. Moves backward to correct errors
C. Never moves
D. Jumps directly to the time of the most imminent event
Correct Answer: D. Jumps directly to the time of the most imminent event
Rationale: Efficient for DES.
4. Simulation is best described as:
A. A closed-form analytical solution of a model
B. A method that always gives exact answers
C. A purely graphical drawing of a system
D. The imitation of a real-world process or system over time
Correct Answer: D. The imitation of a real-world process or system over time
Rationale: Banks/Goldsman definition.
5. Common application areas of simulation include:
A. Only weather forecasting
B. Manufacturing, health care, supply chains, call centers and transportation
C. Only financial accounting audits
D. Only pure mathematics proofs
Correct Answer: B. Manufacturing, health care, supply chains, call centers and transportation
Rationale: Wide use.
6. Simulation is particularly useful for studying systems that:
A. Do not yet exist, such as a proposed factory
B. Have simple closed-form answers
C. Have no variability and one step
D. Cannot be described at all
Correct Answer: A. Do not yet exist, such as a proposed factory
Rationale: Design evaluation.
,7. A queue in a simulation model is:
A. A random number generator
B. A place where entities wait for a resource to become available
C. A type of attribute
D. A statistical distribution only
Correct Answer: B. A place where entities wait for a resource to become available
Rationale: FIFO, LIFO, priority, etc.
8. For an M/M/1 queue with lambda = 4 and mu = 5 per hour, L equals:
A. 0.8
B. 5
C. 4
D. 1
Correct Answer: C. 4
Rationale: rho = 0.8; 0.8/0.2 = 4.
9. The product rule states that d/dx [f(x)g(x)] equals:
A. f'(x)g'(x)
B. f'(x)g(x) + f(x)g'(x)
C. f(x)g'(x) - f'(x)g(x)
D. f'(x)/g'(x)
Correct Answer: B. f'(x)g(x) + f(x)g'(x)
Rationale: Product rule.
10. Differentiability at a point implies:
A. Zero derivative
B. Continuity at that point
C. A maximum
D. Nothing about continuity
Correct Answer: B. Continuity at that point
Rationale: Converse is false.
11. If f'(c) = 0 and f''(c) > 0, then f has:
A. A local minimum at c
B. A local maximum at c
C. An inflection point necessarily
D. No conclusion possible
Correct Answer: A. A local minimum at c
Rationale: Second derivative test.
12. The bisection method finds a root by:
A. Using the derivative
B. Random sampling
C. Integrating
D. Repeatedly halving an interval where the function changes sign
Correct Answer: D. Repeatedly halving an interval where the function changes sign
Rationale: Robust but slow.
, 13. C(5, 2) equals:
A. 20
B. 5
C. 10
D. 25
Correct Answer: C. 10
Rationale: 5!/(2!3!).
14. d/dx [x^2 e^x] equals:
A. 2x e^x
B. x^2 e^x
C. 2x e^x + x^2 e^x
D. 2 e^x
Correct Answer: C. 2x e^x + x^2 e^x
Rationale: Product rule.
15. For a function f, 'f is continuous at a' means:
A. The limit of f(x) as x approaches a equals f(a)
B. f'(a) = 0
C. f(a) = 0
D. f is differentiable everywhere
Correct Answer: A. The limit of f(x) as x approaches a equals f(a)
Rationale: Definition.
16. The derivative of ln(x) is:
A. ln(x)/x
B. x
C. 1/x
D. e^x
Correct Answer: C. 1/x
Rationale: Natural log.
17. Zero covariance between X and Y implies:
A. They are independent always
B. They are identical
C. They are uncorrelated but not necessarily independent
D. One is constant
Correct Answer: C. They are uncorrelated but not necessarily independent
Rationale: Independence implies zero covariance, not conversely (except normal).
18. A negative binomial random variable counts:
A. Successes in n trials
B. The number of trials (or failures) until the rth success
C. Arrivals per hour
D. Time to failure
Correct Answer: B. The number of trials (or failures) until the rth success
Rationale: Generalizes geometric.
Engineering and Science: Exam 3 - Questions with Correct
Answers
100 questions
1. Event-scheduling and process-interaction are:
A. Two random number generators
B. Two goodness-of-fit tests
C. Two world views for modeling discrete-event systems
D. Two output analysis methods
Correct Answer: C. Two world views for modeling discrete-event systems
Rationale: Arena uses process interaction.
2. A terminating simulation is one that:
A. Has a natural ending event, such as a bank that closes at 5 pm
B. Runs forever
C. Has no initial conditions
D. Only uses continuous variables
Correct Answer: A. Has a natural ending event, such as a bank that closes at 5 pm
Rationale: Finite horizon.
3. Next-event time advance means the clock:
A. Advances by a fixed small increment every step
B. Moves backward to correct errors
C. Never moves
D. Jumps directly to the time of the most imminent event
Correct Answer: D. Jumps directly to the time of the most imminent event
Rationale: Efficient for DES.
4. Simulation is best described as:
A. A closed-form analytical solution of a model
B. A method that always gives exact answers
C. A purely graphical drawing of a system
D. The imitation of a real-world process or system over time
Correct Answer: D. The imitation of a real-world process or system over time
Rationale: Banks/Goldsman definition.
5. Common application areas of simulation include:
A. Only weather forecasting
B. Manufacturing, health care, supply chains, call centers and transportation
C. Only financial accounting audits
D. Only pure mathematics proofs
Correct Answer: B. Manufacturing, health care, supply chains, call centers and transportation
Rationale: Wide use.
6. Simulation is particularly useful for studying systems that:
A. Do not yet exist, such as a proposed factory
B. Have simple closed-form answers
C. Have no variability and one step
D. Cannot be described at all
Correct Answer: A. Do not yet exist, such as a proposed factory
Rationale: Design evaluation.
,7. A queue in a simulation model is:
A. A random number generator
B. A place where entities wait for a resource to become available
C. A type of attribute
D. A statistical distribution only
Correct Answer: B. A place where entities wait for a resource to become available
Rationale: FIFO, LIFO, priority, etc.
8. For an M/M/1 queue with lambda = 4 and mu = 5 per hour, L equals:
A. 0.8
B. 5
C. 4
D. 1
Correct Answer: C. 4
Rationale: rho = 0.8; 0.8/0.2 = 4.
9. The product rule states that d/dx [f(x)g(x)] equals:
A. f'(x)g'(x)
B. f'(x)g(x) + f(x)g'(x)
C. f(x)g'(x) - f'(x)g(x)
D. f'(x)/g'(x)
Correct Answer: B. f'(x)g(x) + f(x)g'(x)
Rationale: Product rule.
10. Differentiability at a point implies:
A. Zero derivative
B. Continuity at that point
C. A maximum
D. Nothing about continuity
Correct Answer: B. Continuity at that point
Rationale: Converse is false.
11. If f'(c) = 0 and f''(c) > 0, then f has:
A. A local minimum at c
B. A local maximum at c
C. An inflection point necessarily
D. No conclusion possible
Correct Answer: A. A local minimum at c
Rationale: Second derivative test.
12. The bisection method finds a root by:
A. Using the derivative
B. Random sampling
C. Integrating
D. Repeatedly halving an interval where the function changes sign
Correct Answer: D. Repeatedly halving an interval where the function changes sign
Rationale: Robust but slow.
, 13. C(5, 2) equals:
A. 20
B. 5
C. 10
D. 25
Correct Answer: C. 10
Rationale: 5!/(2!3!).
14. d/dx [x^2 e^x] equals:
A. 2x e^x
B. x^2 e^x
C. 2x e^x + x^2 e^x
D. 2 e^x
Correct Answer: C. 2x e^x + x^2 e^x
Rationale: Product rule.
15. For a function f, 'f is continuous at a' means:
A. The limit of f(x) as x approaches a equals f(a)
B. f'(a) = 0
C. f(a) = 0
D. f is differentiable everywhere
Correct Answer: A. The limit of f(x) as x approaches a equals f(a)
Rationale: Definition.
16. The derivative of ln(x) is:
A. ln(x)/x
B. x
C. 1/x
D. e^x
Correct Answer: C. 1/x
Rationale: Natural log.
17. Zero covariance between X and Y implies:
A. They are independent always
B. They are identical
C. They are uncorrelated but not necessarily independent
D. One is constant
Correct Answer: C. They are uncorrelated but not necessarily independent
Rationale: Independence implies zero covariance, not conversely (except normal).
18. A negative binomial random variable counts:
A. Successes in n trials
B. The number of trials (or failures) until the rth success
C. Arrivals per hour
D. Time to failure
Correct Answer: B. The number of trials (or failures) until the rth success
Rationale: Generalizes geometric.
