We give definitions on increasing, constant and decreasing returns to scale under the generalized data envelopment analysis (GDEA) model. The GDEA model prossesses cone structures for describing evaluators’ preferenc...We give definitions on increasing, constant and decreasing returns to scale under the generalized data envelopment analysis (GDEA) model. The GDEA model prossesses cone structures for describing evaluators’ preferences toward different decision making units (DMU) and toward different input / output categories. The GDEA model contains many important DEA models as its subclasses. Based upon the definition, we discuss and rigorously prove the necessary and sufficient conditions for a DMU to have increasing, constant and decreasing returns to scale under a GDEA model, and discuss and clarify the differences and relationships of these conditions under different subclasses of the GDEA model. Furthermore, we describe a method based on a two-stage linear program to test returns to scale properties.展开更多
规模收益(Returns to Scale)是组织绩效分析所关心的一个重要问题。它可以帮助决策者决策是应该扩大还是减少组织规模,从而提高组织运行的绩效。经济学中规模收益的定义需要借助生产函数的概念。目前国内外针对公共部门(包括科研机构)...规模收益(Returns to Scale)是组织绩效分析所关心的一个重要问题。它可以帮助决策者决策是应该扩大还是减少组织规模,从而提高组织运行的绩效。经济学中规模收益的定义需要借助生产函数的概念。目前国内外针对公共部门(包括科研机构)多投入多产出规模收益分析主要是采用DEA方法,通过生产可能集(PPS)前沿面来模拟生产函数,通过其基本性质来判断公共部门(包括科研机构)的规模收益情况。本文系统梳理了DEA框架下规模收益的五类研究成果,归纳总结其中的基本方法,并指出未来的研究方向。展开更多
基金This work was supported by the National Natural Science Foundation of China.
文摘We give definitions on increasing, constant and decreasing returns to scale under the generalized data envelopment analysis (GDEA) model. The GDEA model prossesses cone structures for describing evaluators’ preferences toward different decision making units (DMU) and toward different input / output categories. The GDEA model contains many important DEA models as its subclasses. Based upon the definition, we discuss and rigorously prove the necessary and sufficient conditions for a DMU to have increasing, constant and decreasing returns to scale under a GDEA model, and discuss and clarify the differences and relationships of these conditions under different subclasses of the GDEA model. Furthermore, we describe a method based on a two-stage linear program to test returns to scale properties.
文摘规模收益(Returns to Scale)是组织绩效分析所关心的一个重要问题。它可以帮助决策者决策是应该扩大还是减少组织规模,从而提高组织运行的绩效。经济学中规模收益的定义需要借助生产函数的概念。目前国内外针对公共部门(包括科研机构)多投入多产出规模收益分析主要是采用DEA方法,通过生产可能集(PPS)前沿面来模拟生产函数,通过其基本性质来判断公共部门(包括科研机构)的规模收益情况。本文系统梳理了DEA框架下规模收益的五类研究成果,归纳总结其中的基本方法,并指出未来的研究方向。
