ISYE 6644 MIDTERM EXAM 1 ACTUAL QUESTIONS

ISYE 6644 MIDTERM EXAM 1 (ACTUAL / ) | QUESTIONS

WITH VERIFIED CORRECT GRADED A

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).Steady-state simulations

Which method is used to analyze the simulation output for terminating simulations (M1L9)?Independent Replications.Make indep runs under the same conditions, get the sample mean. Sample means will approximate iid normal (by CLT),

which can use classical stats tests. NOTE: sample means are

used and NOT the original data since raw output is likely not iid, normal.

What is one method described in class to analyze simulation output for steady state simulations (M1L9)?Batch means.This involves warming up the simulation (initialization bias / not included in analysis). Make one long run. Break up run into evenly sized batches and calculate sample mean from each 1 / 2

batch. Do classic stats assuming iid normal on the batch means (relies on CLT).

Name the two numerical methods covered in class to find the zeroes (roots) of a complicated non-linear function that may not have a closed-form solution.

• Bisection method
• Newton's method

Be able to apply either one to find the zeroes of a function on a test.

Bisection: linear convergence (slower), but guaranteed to find

a zero if continuous function.

Newton's method: quadratic convergence (faster), but NOT

guaranteed to find a zero.

Some apply a hybrid approach :)

True or False: a pdf corresponds to a discrete probability

distribution.

False: a pdf corresponds to a continuous distribution and a

pmf corresponds to discrete.

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