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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