Research Article
Malmquist–Luenberger Productivity Index for a Two-Stage Structure in the Presence of Undesirable Outputs and Uncertainty
Table 7
The results of the overall and the stages efficiency scores in 2020.
| Efficiency | Overall | First stage | Second stage | value | 0.49 | 0.50 | 0.51 | 0.52 | 0.49 | 0.50 | 0.51 | 0.52 | 0.49 | 0.50 | 0.51 | 0.52 |
| DMUs | | | | | | | | | | | | | 1 | 0.718 | 0.887 | 0.888 | 0.889 | 0.976 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 2 | 0.854 | 1.000 | 1.000 | 1.000 | 0.999 | 1.000 | 1.000 | 1.000 | 0.855 | 1.000 | 1.000 | 1.000 | 3 | 0.832 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 4 | 0.649 | 0.671 | 0.671 | 0.672 | 0.722 | 0.735 | 0.734 | 0.735 | 0.707 | 0.660 | 0.657 | 0.659 | 5 | INF | 0.832 | 0.832 | 0.835 | INF | 0.967 | 0.967 | 0.969 | 0.838 | 0.748 | 0.707 | 0.707 | 6 | 0.604 | 0.681 | 0.681 | 0.681 | 0.714 | 0.716 | 0.717 | 0.719 | 0.763 | 0.739 | 0.763 | 0.764 | 7 | 0.639 | 0.821 | 0.821 | 0.822 | 0.693 | 0.727 | 0.727 | 0.729 | 0.958 | 0.830 | 0.794 | 0.794 | 8 | 0.743 | 0.757 | 0.757 | 0.758 | 0.693 | 0.733 | 0.733 | 0.733 | 0.599 | 0.559 | 0.545 | 0.547 | 9 | INF | 0.852 | 0.852 | 0.853 | 0.653 | 0.897 | 0.898 | 0.898 | 0.789 | 0.735 | 0.719 | 0.719 | 10 | 0.745 | 0.999 | 0.999 | 0.999 | 0.749 | 1.000 | 1.000 | 1.000 | INF | 0.674 | 0.709 | 0.711 | 11 | 0.887 | 0.997 | 0.997 | 0.997 | INF | 0.831 | 0.831 | 0.832 | 1.000 | 1.000 | 1.000 | 1.000 |
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