Malmquist–Luenberger Productivity Index for a Two-Stage Structure in the Presence of Undesirable Outputs and Uncertainty

Table 8

The results of the overall and the stages efficiency scores in 2021.

	Overall efficiency				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	0.594	0.619	0.619	0.619	0.732	0.724	1.000	1.000	0.238	0.238	0.238	0.239
2	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000	1.000
3	0.748	0.858	0.858	0.859	0.515	0.594	0.831	0.831	INF	0.845	0.846	0.845
4	0.468	0.518	0.519	0.519	0.587	0.662	0.663	0.664	0.300	0.301	0.302	0.302
5	INF	0.617	0.617	0.617	INF	0.774	0.721	0.722	0.448	0.466	0.466	0.466
6	0.758	0.857	0.859	0.859	0.577	0.627	0.531	0.532	1.000	1.000	1.000	1.000
7	0.600	0.789	0.790	0.791	0.577	0.588	0.793	0.793	0.830	0.851	0.851	0.851
8	0.736	0.769	0.769	0.769	0.532	0.512	0.535	0.536	0.746	0.804	0.805	0.805
9	INF	0.852	0.853	0.854	0.942	0.929	0.723	0.723	0.733	0.896	0.897	0.897
10	0.687	0.714	0.716	0.716	0.725	0.738	0.713	0.717	0.670	0.528	0.529	0.529
11	0.604	0.851	0.853	0.853	0.535	0.529	0.682	0.683	0.763	0.871	0.872	0.871