Problem 1 - An organization was investigating relocating its corporate headquarters to one of the three possible cities. The following pairwise comparison matrix shows the president's judgments regarding the desirability for the three cities.
|
|
New York
|
Dallas
|
Miami
|
|
New York
|
1
|
5
|
7
|
|
Dallas
|
1/5
|
1
|
3
|
|
Miami
|
1/7
|
1/3
|
1
|
A. Determine the priorities for the three cities.
B. Is the president consistent in terms of the judgments provided? Explain.
Problem 2 - Asked to compare three soft drinks with respect to flavor, an individual stated that:
A is moderately more preferable than B
A is equally to moderately more preferable than C
B is strongly more preferable than C
A. Setup the pairwise comparison matrix for this problem
B. Determine the priorities for the soft drinks with respect to the flavor criteria
C. Are the individual's judgments consistent? Explain.
Problem 3 - Like many high school seniors, Anne has several universities to consider when making her final college choice. To assist in her decision, she has decided to use AHP to develop a ranking for school R, school P, and school M. The schools will be evaluated on five criteria, and Anne's pairwise comparison matrix for the criteria is shown below.
|
|
Distance
|
Program
|
Size
|
Campus Climate
|
Cost
|
|
Distance
|
1
|
1/4
|
2
|
3
|
4
|
|
Program
|
4
|
1
|
4
|
5
|
6
|
|
Size
|
1/2
|
1/4
|
1
|
3
|
3
|
|
Climate
|
1/3
|
1/5
|
1/3
|
1
|
2
|
|
Cost
|
1/4
|
1/6
|
1/3
|
1/2
|
1
|
The universities' pairwise comparisons on the criteria are shown below.
Distance
|
R
|
P
|
M
|
|
R
|
1
|
2
|
3
|
|
P
|
1/2
|
1
|
3/2
|
|
M
|
1/3
|
2/3
|
1
|
Programs
|
R
|
P
|
M
|
|
R
|
1
|
1/2
|
1
|
|
P
|
2
|
1
|
2
|
|
M
|
1
|
1/2
|
1
|
Size
|
R
|
P
|
M
|
|
R
|
1
|
4
|
2
|
|
P
|
1/4
|
1
|
1/2
|
|
M
|
1/2
|
2
|
1
|
Climate
|
R
|
P
|
M
|
|
R
|
1
|
1
|
3
|
|
P
|
1
|
1
|
3
|
|
M
|
1/3
|
1/3
|
1
|
Cost
|
R
|
P
|
M
|
|
R
|
1
|
1/5
|
1
|
|
P
|
5
|
1
|
5
|
|
M
|
1
|
1/5
|
1
|
Using the AHP spreadsheet or AHP Online Program, answer the following questions.
a. What is the overall ranking of the five criteria? Show necessary steps and/or screenshots.
b. What is the overall ranking of the three universities?
Question 4 - Provide an example where you would like to use the AHP method? Create a flowchart to show decision options and alternatives.