基于数据包络分析的复杂系统相对有效性分析

Relative Efficiency Analysis of Complex System Based on Data Envelopment Analysis

数据包络分析是用来评价同类型决策单元相对有效性的一种新方法.考虑到实际问题中被评价的同类型决策单元之间不一定是相互独立的,在假设决策单元之间存在合作的条件下,给出了评价具有多个子系统的复杂系统相对有效性的数据包络分析模型,并证明了模型的一些性质以及系统相对有效与子系统相对有效之间的关系.这些模型可以用来评价区域之间通过经济合作带来的收益.

Data envelopment analysis (DEA) is a kind of method appropriate for investigating the relative efficiency of homogeneous decision-making units converting multiple inputs into multiple outputs. Considering that decision-making units (DMU) to be evaluated are not necessarily independent in most of real application, a DEA model with several subsystems was advanced under the assumption that the cooperation between DMUs exists. Some properties were proved, and the efficiency relationship between complex system and its subsystems was given.