基于DEA的两阶段系统的利润无效率测量和分解

Profit Inefficiency Measurement and Decomposition in a Two-Stage System Based on DEA

利润无效率的测量是经济领域的一个研究热点,然而,现有的方法大多忽视物质守恒原则.文章基于数据包络分析(data envelopment analysis,DEA)方法,以存在资源共享和非期望产出的两阶段系统为研究对象,提出了满足物质守恒原则的利润无效率测量模型.此外,文章还提出了一种利润无效率的分解方法,将利润无效率分解为3个组成部分:技术无效率、共享资源配置利润无效率和剩余资源配置利润无效率.最后,本文通过一个随机的算例来阐述新方法.与以往的分解方法相比,该方法可以进一步分解利润无效率并帮助决策者更准确地识别导致利润无效率的原因.

The measurement of profit inefficiency has been a hot spot in the economic field, meanwhile, there are some criticisms about these measurement methods, which ignore materials balance principle. Based on the data envelopment analysis method, this paper takes the two-stage system with resource sharing and undesired outputs as the research object, and proposes a profit inefficiency measurement model that satisfies materials balance principle. In addition, this paper also proposes a decomposition method of profit inefficiency, which decomposes profit inefficiency into three components: technical inefficiency, shared resources allocative profit inefficiency, and residual allocative profit inefficiency. Finally, a randomly numerical example is provided to demonstrate our method. Compared to previous decomposition methods, this new method further decomposes profit inefficiency and helps decision-makers to identify the causes of inefficiency more accurately.