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