Determine the priorities for the three cities.
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.
