ISYE 6644 / ISYE 6644 Midterm Exam 2 (Latest Update 2025 / 2026) Simulation and Modeling for Engineering and Science | Module 5,
- & 7 Questions & Answers | Grade
A | 100% Correct - Georgia Tech
Question:
Choosing a Good Generator Geometric Considerations
Answer:
Theorem: The k-tuples (Ri, ..., Ri+k1) i>=1,
from multiplicative generators lie on parallel hyperplanes in [0,1]^k.
Question:
Minimum number of hyperplanes (in all directions).
Answer:
Find the multiplier that maximizes this number. 1 / 4
Question:
Maximum distance between parallel hyperplanes
Answer:
Find the multiplier that minimizes this number
Question:
Minimum Euclidean distance between adjacent k-tuples
Answer:
Find the multiplier that maximizes this number.
Question:
Remark: The RANDU generator is particularly bad
Answer:
since it lies on only 15 hyperplanes.
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Question:
Serial Correlation of LCGs
Answer:
Question:
Goodness-of-fit tests
Answer:
are the PRNs approximately Unif(0,1)?
Question:
Independence tests
Answer:
are the PRNs approximately independent?
- / 4
Question:
If a particular generator passes both types of tests (in addition to other tests that we won't tell you about
Answer:
we'll be happy to use the PRNs it generates.
Question:
We regard as the status quo,
Answer:
so we'll only reject H0 if we have "ample" evidence against it. (Innocent until proven guilty.)
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