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Table
1. An example of results from both an input- and output-oriented DEA
model |
|
Observations
(Obs) |
Outputs |
Inputs |
Technical Efficiency Measures |
|
Fixed |
Variable |
Input- Oriented Model (Lambda) |
Output- Oriented Model (Theta) |
|
Spec1 |
Spec2 |
Fix1 |
Fix2 |
Var1 |
Var2 |
|
1 |
13295 |
27065 |
55 |
60 |
4 |
94 |
0.91 |
1.10 |
|
2 |
13255 |
10090 |
63 |
70 |
8 |
127 |
0.25 |
3.99 |
|
3 |
614 |
3427 |
59 |
59 |
6 |
35 |
0.31 |
3.24 |
|
4 |
106461 |
58705 |
63 |
69 |
5 |
185 |
1.00 |
1.00 |
|
5 |
3540 |
9130 |
53 |
60 |
5 |
46 |
0.62 |
1.60 |
|
6 |
602 |
6900 |
62 |
74 |
5 |
37 |
0.59 |
1.70 |
|
7 |
12920 |
18128 |
69 |
78 |
6 |
133 |
0.43 |
2.33 |
|
8 |
8312 |
5145 |
65 |
63 |
8 |
162 |
0.10 |
9.99 |
|
9 |
3276 |
4430 |
70 |
62 |
3 |
24 |
0.58 |
1.72 |
|
10 |
4143 |
8486 |
63 |
61 |
5 |
81 |
0.33 |
|
| Table
2. An example of results from an output-oriented DEA model, including
slack variables |
|
Observations
(Obs) |
Technical Efficiency Measure (Theta) |
Variables |
| Spec1 |
Spec2 |
Spec1
Slack |
Spec2
Slack |
|
1 |
1.10 |
13295 |
27065 |
39441 |
0 |
|
2 |
3.99 |
13255 |
10090 |
20143 |
0 |
|
3 |
3.24 |
614 |
3427 |
18151 |
0 |
|
4 |
1.00 |
106461 |
58705 |
0 |
0 |
|
5 |
1.60 |
3540 |
9130 |
20812 |
0 |
|
6 |
1.70 |
602 |
6900 |
20268 |
0 |
|
7 |
2.33 |
12920 |
18128 |
46458 |
0 |
|
8 |
9.99 |
8312 |
5145 |
10176 |
0 |
|
9 |
1.72 |
3276 |
4430 |
8179 |
0 |
|
10 |
3.03 |
4143 |
8486 |
34064 |
0 |
Table
3. An example of results from the capacity DEA model |
|
Observations
(Obs) |
Capacity
Measure
(Theta) |
Capacity |
Outputs |
Variable Inputs |
| Spec1 |
Spec2 |
Var1 |
Var2 |
Var1
Optimal |
Var2
Optimal |
|
1 |
1.89 |
76,280 |
13,295 |
27,065 |
4 |
94 |
1.09 |
1.71 |
|
2 |
5.82 |
135,868 |
13,255 |
10,090 |
8 |
127 |
0.63 |
1.46 |
|
3 |
14.65 |
59,201 |
614 |
3,427 |
6 |
35 |
0.71 |
4.52 |
|
4 |
1.00 |
165,166 |
106,461 |
58,705 |
5 |
185 |
1.00 |
1.00 |
|
5 |
5.41 |
68,545 |
3,540 |
9,130 |
5 |
46 |
0.84 |
3.38 |
|
6 |
8.37 |
62,792 |
602 |
6,900 |
5 |
37 |
0.98 |
4.92 |
|
7 |
3.55 |
110,220 |
12,920 |
18,128 |
6 |
133 |
0.91 |
1.52 |
|
8 |
10.42 |
140,222 |
8,312 |
5,145 |
8 |
162 |
0.57 |
1.04 |
|
9 |
11.91 |
91,778 |
3,276 |
4,430 |
3 |
24 |
1.50 |
6.93 |
|
10 |
6.12 |
77,289 |
4,143 |
8,486 |
5 |
81 |
0.88 |
2.02 |
Table 4. An example of results from output-oriented
DEA models with different assumptions regarding returns to scale
|
|
Observations
(Obs) |
Nonincreasing
Returns to Scale |
Variable
Returns to Scale |
Constant
Returns to Scale |
|
1 |
1.10 |
1.00 |
1.10 |
|
2 |
3.99 |
3.86 |
3.99 |
|
3 |
3.24 |
1.00 |
3.24 |
|
4 |
1.00 |
1.00 |
1.00 |
|
5 |
1.60 |
1.00 |
1.60 |
|
6 |
1.70 |
1.10 |
1.70 |
|
7 |
2.33 |
2.27 |
2.33 |
|
8 |
9.99 |
5.34 |
9.99 |
|
9 |
1.72 |
1.00 |
1.72 |
|
10 |
3.03 |
2.71 |
|
Table 5. An
example of capacity and capacity utilization based on an output-oriented
DEA model |
|
Observations
(Obs) |
Outputs |
Technical
Efficiency
Measure |
Capacity
Output
Measure |
Capacity |
Observed
Capacity
Utilization |
Unbiased
Capacity
Utilization |
|
Spec1 |
Spec2 |
| 1 |
13295 |
27065 |
1.10 |
1.89 |
76,280 |
0.53 |
0.58 |
| 2 |
13255 |
10090 |
3.99 |
5.82 |
135,868 |
0.17 |
0.69 |
| 3 |
614 |
3427 |
3.24 |
14.65 |
59,201 |
0.07 |
0.22 |
| 4 |
106461 |
58705 |
1.00 |
1.00 |
165,166 |
1.00 |
1.00 |
| 5 |
3540 |
9130 |
1.60 |
5.41 |
68,545 |
0.18 |
0.30 |
| 6 |
602 |
6900 |
1.70 |
8.37 |
62,792 |
0.12 |
0.20 |
| 7 |
12920 |
18128 |
2.33 |
3.55 |
110,220 |
0.28 |
0.66 |
| 8 |
8312 |
5145 |
9.99 |
10.42 |
140,222 |
0.10 |
0.96 |
| 9 |
3276 |
4430 |
1.72 |
11.91 |
91,778 |
0.08 |
0.14 |
| 10 |
4143 |
8486 |
3.03 |
6.12 |
77,289 |
0.16 |
0.50 |
|