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