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具有复杂结构的系统经常会存在初始投入在不同子阶段分配和中间产品非完全再投入并存的现象,在其效率评价中忽略中间过程的传统Data Envelopment Analysis(DEA)模型往往会高估系统效率,而不考虑中间产品退出情形的网络DEA.模型对系统整体效率评价又可能偏低.为更好测算复杂结构系统的运行效率,基于企业技术创新的特征,建立同时考虑投入分配与中间产出分配问题的混合型多阶段系统DEA效率评价模型.依据分配比例测算各阶段效率,采用阶段效率的投入加权平均评价的系统整体效率,并计算模型的最优解.所提出的模型能够相对准确地反映复杂结构系统的特征,并深入系统“黑箱”内部,更大程度地为优化系统效率提供信息.对我国33个大中型工业企业的行业技术创新效率评价验证了模型的有效性.
Systems with complex structures often have the phenomenon that initial inputs are allocated at different subphases and intermediate products are not fully reinvested. The traditional Data Envelopment Analysis (DEA) model that ignores intermediate processes in its efficiency evaluation often overestimates system efficiency. The network DEA without considering the withdrawal of intermediate products may have a low overall system efficiency evaluation. In order to better measure the operational efficiency of complex structural systems, based on the characteristics of enterprise technological innovation, the simultaneous consideration of input allocation and intermediate output distribution The DEA efficiency evaluation model of the hybrid multi-stage system of the problem. The efficiency of each stage is measured according to the distribution ratio, and the overall efficiency of the system is evaluated by the input weighted average of the stage efficiency, and the optimal solution of the model is calculated. The proposed model can be relatively accurately reflected. The features of the complex structural system are deepened within the system’s “black box” and provide information to optimize the efficiency of the system to a greater degree. The efficiency evaluation of the industry’s technology innovation of 33 large and medium-sized industrial enterprises in China validates the model.