4. A consultant has been working on measuring performances of the private hospitals locating in Sinop. Because of the privacy concerns, the names of the hospitals are not shared. The hospitals (H1, H2, and H3) will be evaluated systematically by means of DEA based on AHP method. In the proposed analysis, initially traditional AHP analysis is decided to be applied in order to calculate the weights of the hospitals. Then, the weights derived from AHP method will be directly used in the DEA analysis. Below, pairwise comparison matrices collected from decision maker, are demonstrated. Based on these, calculate the global weights of the hospitals and provide the ranking of the alternatives. (Note: The consistencies of the pairwise comparison matrices have already controlled.) Pairwise Comparison Matrix of Criteria Pairwise Comparison Matrix of hospitals with regard to (wrt) Criterion 2 Criteria Criterion 1 (C1) Criterion 2 (C2) Criterion 3 (C3) CI C2 C3 Alternatives HI Н2 H3 3 3 H1 7 1 Н2 5 1 H3 1 Pairwise Comparison Matrix of hospitals wrt Criterion 1 Pairwise Comparison Matrix of hospitals wrt Criterion 3 Alternatives HI Н2 H3 Alternatives H1 Н2 H3 HI 1 2. H1 1 1/5 Н2 1/3 1 Н2 H3 3. 1 H3 7

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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4. A consultant has been working on measuring performances of the private hospitals locating in Sinop.
Because of the privacy concerns, the names of the hospitals are not shared. The hospitals (H1, H2, and H3)
will be evaluated systematically by means of DEA based on AHP method. In the proposed analysis, initially
traditional AHP analysis is decided to be applied in order to calculate the weights of the hospitals. Then, the
weights derived from AHP method will be directly used in the DEA analysis. Below, pairwise comparison
matrices collected from decision maker, are demonstrated. Based on these, calculate the global weights of
the hospitals and provide the ranking of the alternatives. (Note: The consistencies of the pairwise
comparison matrices have already controlled.)
Pairwise Comparison
Matrix of Criteria
ci
Pairwise Comparison Matrix of hospitals
with regard to (wrt) Criterion 2
H2
Criteria
Criterion 1 (C1)
Criterion 2 (C2)
Criterion 3 (C3)
C2
C3
Alternatives
H1
H3
1
3
3
H1
1
1
Н2
1
H3
1
Pairwise Comparison Matrix of hospitals
wrt Criterion 1
Pairwise Comparison Matrix of hospitals
wrt Criterion 3
Alternatives
HI
Н2
H3
Alternatives
H1
Н2
H3
HI
1
2
H1
1
1/5
Н2
1/3
Н2
1
H3
3
H3
7
2
1
Transcribed Image Text:4. A consultant has been working on measuring performances of the private hospitals locating in Sinop. Because of the privacy concerns, the names of the hospitals are not shared. The hospitals (H1, H2, and H3) will be evaluated systematically by means of DEA based on AHP method. In the proposed analysis, initially traditional AHP analysis is decided to be applied in order to calculate the weights of the hospitals. Then, the weights derived from AHP method will be directly used in the DEA analysis. Below, pairwise comparison matrices collected from decision maker, are demonstrated. Based on these, calculate the global weights of the hospitals and provide the ranking of the alternatives. (Note: The consistencies of the pairwise comparison matrices have already controlled.) Pairwise Comparison Matrix of Criteria ci Pairwise Comparison Matrix of hospitals with regard to (wrt) Criterion 2 H2 Criteria Criterion 1 (C1) Criterion 2 (C2) Criterion 3 (C3) C2 C3 Alternatives H1 H3 1 3 3 H1 1 1 Н2 1 H3 1 Pairwise Comparison Matrix of hospitals wrt Criterion 1 Pairwise Comparison Matrix of hospitals wrt Criterion 3 Alternatives HI Н2 H3 Alternatives H1 Н2 H3 HI 1 2 H1 1 1/5 Н2 1/3 Н2 1 H3 3 H3 7 2 1
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