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

$$DMU$$ $${\boldsymbol{X}}_{\bf 1}$$ $${\boldsymbol{X}}_{\bf 2}$$ $${\boldsymbol{Z}}_{\bf 1}$$ $${\boldsymbol{Z}}_{\bf 2}$$ $${\boldsymbol{Y}}_{\bf 1}$$ $${\boldsymbol{Y}}_{\bf 2}$$ $$\frac{{\boldsymbol{Z}}}{{\boldsymbol{X}}}$$ $$\frac{{\boldsymbol{Y}}}{{\boldsymbol{Z}}}$$
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 $$\left( \frac{9}{2}, 9, 2, 4\right)$$ $$\left( \frac{1}{3}, \frac{3}{4}, \frac{2}{9}, \frac{1}{2}\right)$$