网络系统生产可能集是构建网络DEA模型的基础,而相邻生产子过程的投入产出连接条件则是构造生产可能集的关键。现有的网络DEA模型在本质上都假设所有子过程的投入产出都满足强自由处置性,然而在实际生产管理活动中,这一假设未必成立。本文从各类自由处置公理出发,系统地研究了各种类型的子过程投入产出连接条件,构建了一般网络系统的生产可能集,给出了相应的等价形式,并构建了相应的网络DEA模型用于评价决策单元的效率。最后利用本文提出的方法和模型对我国上市银行的效率进行了评价。本文的研究对于一般网络系统的绩效评价和改进具有重要的意义。
Production possibility set (PPS) is the basis for constructing DEA models of network systems. The connection conditions of sub-processes are the key points for building the PPS. In nature, the existing network DEA models assume that all inputs and outputs of sub-processes satisfy the strongly free disposability principle. However, it is not always true in real production and management activities. Therefore, from the perspective of different free disposability principles, the connection conditions for inputs and outputs of sub-processes are studied; the production possibility sets and their equivalent formulations for general network systems are built. The DEA models are constructed accordingly for evaluating the efficiencies of network systems are built. In the end, the proposed models are used to evaluate the performance of China's listed banks. This research is quite informative for performance evaluation and improvement for general network systems.
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