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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
3.03

 

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
3.03

 

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

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(Modified Jun. 13 2008)