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Table 3 Example 2. Data set for 10 two-stage DMUs

From: Network DEA based on DEA-ratio

\(DMU\) \({\boldsymbol{X}}_{\bf 1}\) \({\boldsymbol{X}}_{\bf 2}\) \({\boldsymbol{Z}}_{\bf 1}\) \({\boldsymbol{Z}}_{\bf 2}\) \({\boldsymbol{Y}}_{\bf 1}\) \({\boldsymbol{Y}}_{\bf 2}\) \(\frac{{\boldsymbol{Z}}}{{\boldsymbol{X}}}\) \(\frac{{\boldsymbol{Y}}}{{\boldsymbol{Z}}}\)
1 2 3 4 9 16 18 \(\left( 2, \frac{4}{3}, \frac{9}{2}, 3\right)\) \(\left( 4, \frac{16}{9}, \frac{9}{2}, 2\right)\)
2 8 9 2 3 1 1 \(\left( \frac{1}{4}, \frac{2}{9}, \frac{3}{8}, \frac{1}{3}\right)\) \(\left( \frac{1}{2}, \frac{1}{3}, \frac{1}{2}, \frac{1}{3}\right)\)
3 3 1 9 4 3 2 \(\left( 3, 9, \frac{4}{3}, 4\right)\) \(\left( \frac{1}{3}, \frac{3}{4}, \frac{2}{9}, \frac{1}{2}\right)\)
4 1 1 9 7 1 1 (9, 9, 7, 7) \(\left( \frac{1}{9}, \frac{1}{7}, \frac{1}{9}, \frac{1}{7}\right)\)
5 1 1 1 1 1 1 (1, 1, 1, 1) (1, 1, 1, 1)
6 2 2 3 3 2 2 \(\left( \frac{3}{2}, \frac{3}{2}, \frac{3}{2}, \frac{3}{2}\right)\) \(\left( \frac{2}{3}, \frac{2}{3}, \frac{2}{3}, \frac{2}{3}\right)\)
7 2 2 4 4 2 2 (2, 2, 2, 2) \(\left( \frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \frac{1}{2}\right)\)
8 6 6 3 3 6 6 \(\left( \frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \frac{1}{2}\right)\) (2, 2, 2, 2)
9 6 6 3 3 3 3 \(\left( \frac{1}{2}, \frac{1}{2}, \frac{1}{2}, \frac{1}{2}\right)\) (1, 1, 1, 1)
10 2 1 9 4 3 2 \(\left( \frac{9}{2}, 9, 2, 4\right)\) \(\left( \frac{1}{3}, \frac{3}{4}, \frac{2}{9}, \frac{1}{2}\right)\)