两阶段链形系统生产可能集与DEA评价模型

Production possibility set and DEA evaluation model for two-stage series systems

数据包络分析是一种评价决策单元之间相对效率的数学规划方法,已经被普遍接受并获得广泛应用.两阶段链形系统是一类典型的复杂生产系统,与其相关的效率评价研究是当前研究的热点内容,但对链形系统生产可能集的研究还有待完善.给出两阶段链形系统生产可能集三种定义,证明三者的等价性,并在此基础上给出链形系统的DEA效率评价模型.本文方法可为链形系统性能改善确定明确的标杆,并通过一个算例进行了演示.

Data envelopment analysis is a mathematical programming approach to appraise the relative efficiencies among decision making units,and has been accepted and used in a wide range of applications.The two-stage series system is a typical complex system,and the related research on performance evaluation for two-stage series systems is an important topic in the area.However,the study on production possibility set of two-stage series systems lacks still.This paper gives three definitions to production possibility...