本文在已有的动态DEA的研究基础上考虑到各决策单元内部的差异性，结合灰色关联度测权重的方法，推演出了包含多个并联决策单元的复杂系统的灰色动态DEA模型。该模型克服了复杂系统内部权重恒定不变、效率指数高估的缺陷，且考虑了包含多个决策单元的复杂系统内部投入产出变量的权重，更加的贴近实际应用。利用该模型对中国不同经济区域、不同类型的装备制造业进行度量，得出：“十二五”期间，所有的灰色动态DEA有效指数都大于0，意味着我国的装备制造业效率没有达到最优；在所有类型的装备制造业中，东部地区的效率值要低于其他经济区域；科技含量高的行业(专用设备制造业、通信设备及电子设备制造业)的效率比较高。

This paper, which considers the differences of each interior of decision-making units, combining with grey correlation method for measuring weight, shows grey dynamic DEA model of complex system which contains multiple parallel decision making units on the basis of existing dynamic DEA research. This model overcomes the drawback of the constant weight of the interior of the complex system and the overvaluation of the efficiency, and considers the weights of the input and output variables of the complex system which contains multiple parallel decision making units, which is more close to the actual. This paper measures the equipment?manufacturing?industry which includes several different economic areas and different types using this model, and we obtain that, during the twelfth five-year, all the value of the grey dynamic DEA are greater than 0 in China, which means that the efficiency of equipment?manufacturing?industry is not optimal; the efficiency of the eastern region of our country is lower than other regions in each type; the efficiency of the high technological content industry, such as Special equipment manufacturing, communication equipment and electronic equipment manufacturing industry is high than others.

国家自然科学基金项目，全球价值链视角下中国式装备制造业空心化的形成机理与突破路径研究(71373121); 广义虚拟经济研究项目(GX2015-1003(Y));中央高校基础研究基金(NC2012)