Research Article
Malmquist–Luenberger Productivity Index for a Two-Stage Structure in the Presence of Undesirable Outputs and Uncertainty
Table 4
The 2020 dataset of three scenarios for 11 petroleum wells.
| DMUs | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 1 | 75000 | 90000 | 0.498 | 0.510 | 92.22 | 121.57 | 67.45 | 60.8 | 510.1 | 638.1 | 102.0 | 68.0 | 433.0 | 477.0 | 117 | 135.0 | 17479.9 | 24279.9 | 92.6 | 239.4 | 489.3 | 2 | 48000 | 84000 | 0.442 | 0.453 | 73.36 | 132.05 | 85.5 | 95 | 797.1 | 997.1 | 72.0 | 96.0 | 344.4 | 379.4 | 109 | 126.0 | 12338.8 | 17138.8 | 117.4 | 191.5 | 391.4 | 3 | 52000 | 87000 | 0.434 | 0.462 | 113.18 | 117.38 | 55.1 | 64.6 | 542.0 | 678.0 | 87.0 | 116.0 | 531.3 | 585.3 | 113 | 130.5 | 14909.4 | 20709.4 | 47.4 | 478.8 | 978.5 | 4 | 4000 | 74000 | 0.533 | 0.546 | 209.60 | 138.34 | 30.4 | 27.55 | 231.2 | 289.2 | 150.0 | 200.0 | 984.0 | 108.4 | 96 | 111.0 | 25705.8 | 35705.8 | 65.5 | 339.9 | 694.7 | 5 | 35000 | 63000 | 0.410 | 0.420 | 79.65 | 125.76 | 78.85 | 82.65 | 693.5 | 867.5 | 85.5 | 114.0 | 373.9 | 411.9 | 82 | 94.5 | 14652.3 | 20352.3 | 61.0 | 363.9 | 743.7 | 6 | 30000 | 90000 | 0.342 | 0.351 | 127.86 | 117.38 | 48.45 | 40.85 | 342.8 | 428.8 | 87.0 | 116.0 | 600.2 | 661.2 | 117 | 135.0 | 14909.4 | 20709.4 | 103.9 | 215.5 | 440.3 | 7 | 18000 | 90000 | 0.513 | 0.525 | 138.34 | 119.47 | 45.6 | 40.85 | 342.8 | 428.8 | 96.0 | 128.0 | 649.4 | 715.4 | 117 | 135.0 | 16451.7 | 22851.7 | 85.8 | 263.3 | 538.2 | 8 | 6000 | 95000 | 0.368 | 0.377 | 119.47 | 117.38 | 52.25 | 52.25 | 438.4 | 548.4 | 90.0 | 120.0 | 560.9 | 617.9 | 124 | 142.5 | 15423.5 | 21423.5 | 76.8 | 292.1 | 596.9 | 9 | 46000 | 95000 | 0.523 | 0.536 | 85.94 | 123.66 | 72.2 | 64.6 | 542.0 | 678.0 | 52.5 | 70.0 | 403.4 | 444.4 | 124 | 142.5 | 8997.0 | 12497.0 | 173.9 | 129.3 | 264.2 | 10 | 23700 | 90000 | 0.564 | 0.577 | 113.18 | 117.38 | 56.05 | 46.55 | 390.6 | 488.6 | 82.5 | 110.0 | 531.3 | 585.3 | 117 | 135.0 | 14138.2 | 19638.2 | 88.1 | 253.8 | 518.6 | 11 | 12000 | 84000 | 0.318 | 0.326 | 88.03 | 121.57 | 71.25 | 58.9 | 494.2 | 618.2 | 61.5 | 82.0 | 413.3 | 455.3 | 109 | 126.0 | 10539.4 | 14639.4 | 67.7 | 330.4 | 675.2 |
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