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ISYE 6644 Midterm UPDATED Actual Questions and CORRECT Answers

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ISYE 6644 Midterm UPDATED Actual Questions and CORRECT Answers What is simulation (M1L3)? - CORRECT ANSWER- Imitation of a real-world process or system over time. What is a model (M1L3)? - CORRECT ANSWER- High-level representations of the operation of a real-word process or system

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  • October 4, 2024
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MGRADES
ISYE 6644 Midterm UPDATED Actual
Questions and CORRECT Answers
What is simulation (M1L3)? - CORRECT ANSWER✔✔- Imitation of a real-world process
or system over time.


What is a model (M1L3)? - CORRECT ANSWER✔✔- High-level representations of the
operation of a real-word process or system.


Is the following a discrete or continuous model:
1 customer shows up and waits in line, and then another, and so on (M1L3). - CORRECT
ANSWER✔✔- Discrete model


Is the following a discrete or continuous model:
An hourly weather prediction for precipitation over time (M1L3). - CORRECT
ANSWER✔✔- Continuous model


Is the following a stochastic or deterministic model:

Calls that randomly arrive at a call center (M1L3). - CORRECT ANSWER✔✔- Stochastic
model


Is the following a stochastic or deterministic model:
Predicting the voltage if we know the current and resistance in a circuit (M1L3). - CORRECT
ANSWER✔✔- Deterministic model


What does it mean for a model to be dynamic vs. static (M1L3)? - CORRECT
ANSWER✔✔- Dynamic models have changing relationships between variables over time.
In static models, the relationships between variables are fixed (e.g., V = IR).


What are the three methods to "solve" a model: from easiest to hardest (M1L3)? - CORRECT
ANSWER✔✔- 1. Analytical (exact)
2. Numerical methods (approximate)
3. Simulation methods (approx. with randomness)

, In the 1940s, who used early computers to simulate thermonuclear chain reactions as part of
the Manhattan project (also had a role in the foundations of Monte Carlo methods)(M1L4).
a) William Gossett, aka - "Student"
b) Harry Markowitz
c) Comte de Buffon
d) Ulam, Metropolis, and von Neumann

e) Justin Bieber - CORRECT ANSWER✔✔- ---d) correct answer---


a) Student's t-test, analytical techniques for Guinness Beer.
b) Nobel in Econ for optimiz. of financial portfolios, invented Sim Script language.
c) Dropping needles between parallel lines and estimating pi
e) shouldn't be on this list :)


Surveillance applications of simulation (such as - "is a disease spreading?") rely on sequential
hypothesis tests over time. Describe how sequential hypothesis tests are used with simulation
(M1L5)? - CORRECT ANSWER✔✔- 1. Come up with the null hypoth (e.g., disease is not
spreading with time).
2. Use sim to approximate the probability distr of null hypothesis.
3. If actual samples collected cast doubt on the distr for null hypothesis, reject it, and say that
the disease is spreading.


Graphically, what is an indication that your pseudorandom number generator is "no good"
(M1L7). - CORRECT ANSWER✔✔- Example was graphing two "random variates" in the
x-y plane that were generated from uniform distributions transformed into normal distr (Box
Muller Method). If a pattern in the graph appears, this is "bad." You expect lots of random
points clustered around the center that spread out evenly in all directions from the center.
Spiral patterns = no good.


In Queuing models, what does each part of the Kendall notation mean: A/B/C (general
version) applied to a M/M/1 (a specific version)(M1L7)? - CORRECT ANSWER✔✔- A =
Distrib of arrival times
B = Distrib. of service times
C = # of servers in the system

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