Number 3 (499)
tandr102
Quiz3operationsResearchv1.docxQUIZ 3, Operations Research, Senior Seminar in Mathematics
1. What is the purpose of an OR model?
a. Minimize cost
b. Maximize efficiency
c. Optimize an objective
d. All of the above
2. To balance a transportation model, it may be necessary to add both a dummy source and a dummy destination. True or false?
3. Define the difference between CPM (critical path method) and PERT (Program Evaluation and Review Technique).
4. Construct a project network to plan a wedding with the activities listed in the following table highlighting the critical path and calculate the number of days in the critical path.
|
|
Activity |
Predecessor(s) |
Duration (days) |
|
A |
Select Minister/Church |
-- |
7 |
|
B |
Select Flowers |
A |
5 |
|
C |
Rent Candelabras |
A |
10 |
|
D |
Select Place for After-Rehearsal Dinner |
A |
14 |
|
E |
Set Up Decorations |
B,C,D |
5 |
|
F |
Wedding Rehearsal |
E |
1 |
|
G |
Wedding Event |
F |
1 |
5. Which is not one of the basic principles of design of experiments?
(1) Randomization
(2) Simplification
(3) Replication
(4) Blocking
6. The standard normal distribution is the reference distribution for the t-test. True or False and provide a rationale for your answer.
7. A study was performed on wear of a surface “y” and its relationship to x1 = surface tension (or friction) and x2 = weight of vehicle. The following data were obtained:
|
y |
x1 |
x2 |
|
25 |
2 |
14 |
|
24 |
9 |
12 |
|
19 |
6 |
9 |
|
20 |
4 |
15 |
|
16 |
1 |
11 |
|
18 |
3 |
10 |
Fit a multiple linear regression model to the data.
8. Explain the most common method used to determine if a model is correct and the assumptions are satisfied.
9. The lifetime in years of a satellite placed in orbit is given by the following probability density function
a. What is the probability that this satellite is still “alive” after 5 years?
b. What is the probability that the satellite dies between 3 and 6 years from the time it is placed in orbit?
10. Provide a definition for operations research. Then provide at least three examples of the use of OR techniques that assisted a decision maker. Provide a brief essay to respond to this question.
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