100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
ISYE6644/ ISYE 6644 MIDTERM EXAM NEWEST ACTUAL EXAM WITH COMPLETE QUESTIONS AND DETAILED ANSWERS GRADED A | BRAND NEW!!! $16.99
Add to cart
Quickly navigate to
Preview
  2.  
  3. ISYE6644/ ISYE 6644
  4.  
  5. ISYE6644/ ISYE 6644

Exam (elaborations)

ISYE6644/ ISYE 6644 MIDTERM EXAM NEWEST ACTUAL EXAM WITH COMPLETE QUESTIONS AND DETAILED ANSWERS GRADED A | BRAND NEW!!!
 0 purchase
  • Course
  • ISYE6644/ ISYE 6644
  • Institution
  • ISYE6644/ ISYE 6644

ISYE6644/ ISYE 6644 MIDTERM EXAM NEWEST ACTUAL EXAM WITH COMPLETE QUESTIONS AND DETAILED ANSWERS GRADED A | BRAND NEW!!!

Preview 4 out of 36  pages

Document information

  • October 19, 2024
  • 36
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

Written for

  • ISYE6644/ ISYE 6644
  • ISYE6644/ ISYE 6644

Seller

avatar-seller
NurseTony

Reviews received

Content preview

ISYE6644/ ISYE 6644 MIDTERM EXAM
NEWEST ACTUAL EXAM WITH COMPLETE
QUESTIONS AND DETAILED ANSWERS
GRADED A | BRAND NEW!!!

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


M = arrival times are Poisson process (lambda)

,M = exponential service times (mu)
1 = a single server


"M" stands for Markov, but really it means exponential?


Describe what a "random walk" model is and what "motion" it
converges to (M1L7)? - ✔✔✔ Correct Answer > Model where
the variable "step" size changes randomly with each time
increment (step size = randomly sampled from a normal
distribution?).


Converges to Brownian Motion: as time steps become smaller
and # of steps larger. Continuous time, stochastic.


Random samples from which distribution can be transformed
into random variables of any other distribution (M1L8)? - ✔✔✔
Correct Answer > Uniform (0, 1)


What specific pseudorandom number generating algorithm was
covered in detail in Module 1? It involves choosing a seed
value, two carefully chosen constants a and m, using the
modulus operator, and then normalizing all values to fit

,between 0 and 1 by dividing by m (M1L8). - ✔✔✔ Correct
Answer > Linear Congruential Generator (LCG).
The Desert Island Generator is is an LCG with a=16807 and m =
2^31 - 1 (a very large prime number.
X(i) = 16807X(i - 1) mod (2^31 - 1)
U(i) = X(i) / m


What are the 3 general steps for the inverse transform method
(M1L8)? - ✔✔✔ Correct Answer > 1. Generate the Unif (0, 1)
PRN (U_i)
2. For the desired probability distribution, get the inverse of its
CDF (F^-1(U_i)). This involves setting the CDF (F(X)) equal to U,
and then solving for X (X will by F^-1(U), a function of U).
3. Plugging in U values from #1 into #2, gets a random variable
from the desired distribution!


Which probability distribution does the following approximate:
-(1/lamba)ln(U_i)?


True or False:
ln(1 - U_i) can also be used in the above equation (M1L8). -
✔✔✔ Correct Answer > Exponential Distribution

, True - because (1 - U_i) is also uniform


True or false: output from simulations tend to be i.i.d. normally
distributed (M1L9). - ✔✔✔ Correct Answer > False! They tend
to be nasty and can't directly be analyzed with standard stats
tests.


Which type of simulation focuses on short-term behavior?
Examples include: Avg wait time in a bank for a day, avg # of
infected victims during a pandemic, and evaluating the
effectiveness of a marketing campaign over 3 months (M1L9). -
✔✔✔ Correct Answer > Terminating simulations


Which type of simulation focuses on long-term behavior?
Examples include: long-running assembly line in a factory,
performance of a transportation network under various
conditions, and an estimate of the unemployment rate 30 years
from now (M1L9). - ✔✔✔ Correct Answer > Steady-state
simulations

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller NurseTony. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $16.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

67418 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 15 years now

Start selling
$16.99
  • (0)
Add to cart
Added