Research Article
Matrix-Type Network DEA Model with Its Application Based on Input-Output Tables
Table 2
Efficiency scores obtained from the “black model” and new model.
| | Black box model | Matrix model | Subsystem | Primary | Secondary | Tertiary | Quaternary |
| Anhui | 0.26 | 0.584 | 0.683 | 0.518 | 0.629 | Beijing | 0.156 | 0.586 | 0.604 | 1 | 0.025 | Chongqing | 0.507 | 0.446 | 0.634 | 0.789 | 0.498 | Fujian | 0.328 | 0.456 | 0.402 | 0.266 | 0.674 | Gansu | 0.143 | 0.543 | 0.558 | 0.171 | 0.833 | Guangdong | 0.576 | 0.655 | 1 | 0.301 | 0.249 | Guangxi | 0.161 | 0.535 | 0.485 | 0.368 | 0.762 | Guizhou | 0.141 | 0.636 | 0.482 | 0.503 | 0.819 | Hainan | 1 | 0.603 | 0.211 | 1 | 0.887 | Heilongjiang | 1 | 0.706 | 0.88 | 0.904 | 0.325 | Henan | 1 | 1 | 1 | 1 | 1 | Hubei | 0.313 | 0.596 | 1 | 0.478 | 1 | Hunan | 0.089 | 0.482 | 0.66 | 0.188 | 0.562 | Inner Mongolia | 0.268 | 0.439 | 0.423 | 0.268 | 0.496 | Jiangsu | 0.274 | 0.732 | 0.975 | 0.557 | 1 | Jiangxi | 0.32 | 0.5 | 0.669 | 0.915 | 0.63 | Jilin | 0.222 | 0.435 | 0.514 | 0.552 | 1 | Liaoning | 0.19 | 0.46 | 0.405 | 0.387 | 0.509 | Ningxia | 1 | 0.822 | 0.871 | 0.012 | 0.067 | Shaanxi | 0.512 | 0.566 | 0.976 | 0.64 | 0.478 | Shandong | 0.174 | 0.61 | 0.186 | 0.546 | 1 | Shanxi | 1 | 0.716 | 0.594 | 0.934 | 0.456 | Tianjin | 0.399 | 0.476 | 0.266 | 0.426 | 0.585 | Xinjiang | 0.612 | 0.447 | 0.282 | 0.578 | 0.372 | Yunnan | 0.334 | 0.511 | 0.619 | 0.573 | 0.579 | Zhejiang | 0.241 | 0.528 | 0.93 | 0.174 | 0.755 |
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