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Table 8 Example 3. Results from TND-R model (16)

From: Network DEA based on DEA-ratio

  \((W_1^1, W_2^1)\) Ranking \((W_1^2, W_2^2)\) Ranking \((W_1^3, W_2^3)\) Ranking
\(DMU_o\) (F, S, O)   (F, S, O)   (F, S, O) (F, S, O)
1. Taiwan Fire (0.402, 0.758, 0.305) (5, 4, 8) (0.518, 0.111, 0.058) (4, 4, 10) (0.026, 0.834, 0.022) (4, 4, 9)
2. Chung Kuo (0.934, 0.713, 0.666) (2, 7, 3) (0.958, 0.090, 0.087) (2, 7, 8) (0.360, 0.799, 0.288) (2, 7, 6)
3. Tai Ping (0.085, 1.000, 0.085) (16, 1, 15) (0.129, 1.000, 0.129) (15, 1, 5) (0.004, 1.000, 0.0036) (10, 1, 16)
4. China Mariners (0.065, 0.615, 0.040) (21, 12, 23) (0.100, 0.060, 0.006) (20, 11, 22) (0.003, 0.718, 0.002) (11, 12, 22)
5. Fubon (0.122, 1.000, 0.122) (11, 1, 11) (0.182, 1.000, 0.182) (10, 1, 1) (0.006, 1.000, 0.006) (8, 1, 11)
6. Zurich (0.486, 0.603, 0.293) (3, 14, 9) (0.602, 0.057, 0.034) (3, 12, 13) (0.036, 0.708, 0.026) (3, 14, 7)
7. Taian (0.078, 0.640, 0.050) (18, 9, 21) (0.120, 0.066, 0.008) (17, 9, 20) (0.003, 0.740, 0.0028) (11, 9, 21)
8. Ming Tai (0.082, 0.624, 0.051) (17, 11, 20) (0.125, 0.062, 0.008) (16, 10, 20) (0.004, 0.726, 0.0029) (10, 11, 20)
9. Central (1.000, 0.552, 0.552) (1, 20, 6) (1.000, 0.047, 0.047) (1, 17, 12) (1.000, 0.663, 0.663) (1, 20, 5)
10. The First (0.115, 0.734, 0.085) (12, 5, 15) (0.172, 0.099, 0.017) (11, 5, 15) (0.005, 0.815, 0.0042) (9, 5, 14)
11. Kuo Hua (0.109, 0.516, 0.056) (14, 21, 19) (0.164, 0.041, 0.007) (13, 18, 21) (0.005, 0.630, 0.0031) (9, 21, 18)
12. Union (1.000, 0.793, 0.793) (4, 3, 1) (1.000, 0.133, 0.133) (1, 3, 4) (1.000, 0.860, 0.860) (9, 3, 1)
13. Shingkong (0.110, 0.590, 0.065) (13, 17, 18) (0.165, 0.054, 0.009) (12, 14, 13) (0.005, 0.697, 0.0032) (9, 16, 17)
14. South China (0.076, 0.639, 0.049) (19, 10, 22) (0.116, 0.066, 0.008) (18, 9, 20) (0.003, 0.739, 0.002) (11, 10, 22)
15. Cathay Century (1.000, 0.716, 0.716) (1, 6, 2) (1.000, 0.092, 0.092) (1, 6, 7) (1.000, 0.802, 0.802) (1, 6, 2)
16. Allianz President (0.196, 0.589, 0.115) (7, 18, 12) (0.280, 0.054, 0.015) (6, 14, 16) (0.010, 0.696, 0.007) (5, 17, 10)
17. Newa (0.070, 1.000, 0.070) (20, 1, 17) (0.108, 1.000, 0.108) (19, 1, 6) (0.003, 1.000, 0.003) (11, 1, 19)
18. AIU (0.149, 0.596, 0.089) (9, 15, 14) (0.219, 0.056, 0.012) (8, 13, 17) (0.007, 0.703, 0.005) (7, 15, 12)
19. North America (1.000, 0.613, 0.613) (1, 13, 4) (1.000, 0.060, 0.060) (1, 11, 9) (1.000, 0.717, 0.717) (3, 13, 3)
20. Federal (0.398, 0.904, 0.360) (6, 2, 7) (0.514, 0.273, 0.140) (5, 2, 2) (0.026, 0.938, 0.024) (4, 2, 8)
21. Royal Sunalliance (0.142, 0.558, 0.079) (10, 19, 16) (0.210, 0.048, 0.010) (9, 16, 18) (0.007, 0.669, 0.0044) (7, 19, 13)
22. Aisa (0.090, 1.000, 0.090) (15, 1, 13) (0.137, 1.000, 0.137) (14, 1, 3) (0.004, 1.000, 0.0039) (10, 1, 15)
23. AXA (0.182, 0.673, 0.123) (8, 8, 10) (0.263, 0.076, 0.020) (7, 8, 14) (0.009, 0.767, 0.007) (6, 8, 10)
24. Mitsui Sumitomo (1.000, 0.582, 0.582) (1, 19, 5) (1.000, 0.053, 0.053) (1, 15, 11) (1.000, 0.690, 0.690) (1, 18, 4)
  1. “F”,“S” and “O” denote the first stage efficiency score, the second stage efficiency score and overall efficiency score, respectively