基于交叉评价策略的DEA全局协调相对效率排序模型

中国管理科学 ›› 2013, Vol. 21 ›› Issue (3): 137-145.

基于交叉评价策略的DEA全局协调相对效率排序模型

李春好, 苏航

吉林大学管理学院, 吉林长春 130022

收稿日期:2012-07-24 修回日期:2013-03-26 出版日期:2013-06-30 发布日期:2013-06-20
基金资助:
国家自然科学基金资助项目(70971054);教育部新世纪优秀人才支持计划(NCET-09-0419);教育部人文社会科学研究规划基金(09YJA630047);吉林大学杰出青年基金(2010GL);吉林大学"985"工程资助项目

A ranking Model According to Overall-coordinating Relative Efficiencies of Decision Making Units Based on Cross-evaluation Strategy

LI Chun-hao, SU Hang

School of Management, Jilin University, Changchun 130022, China

Received:2012-07-24 Revised:2013-03-26 Online:2013-06-30 Published:2013-06-20

摘要/Abstract

摘要： 在DEA(数据包络分析)研究领域,建构在交叉效率概念基础上的现有决策单元排序方法仅以定义的方式给出了用于决策单元排序的交叉效率评价值。对于这种方法构建方式,分别基于管理学的效率概念和多属性决策理论,分析指出其中的交叉效率评价值从本质上讲既与效率的管理学概念不符,也与决策单元的优劣不存在理性逻辑联系。为克服现有决策单元排序方法所存在的上述问题,基于交叉评价策略和效率的管理学概念内涵给出了DEA全局协调相对效率的新概念,在此基础上利用优化理论给出了可以用于决策单元优劣排序的DEA全局协调相对效率测度模型,并通过理论分析和数值案例验证解释了该模型相对于现有决策单元排序方法所拥有的比较优势。

关键词: 数据包络分析, 交叉效率, 交叉评价策略, 决策单元排序

Abstract: In the field of data envelopment analysis (DEA), methods for ranking decision making units (DMUs),which are based on crass-efficency, only give evaluation-score (CEES) of DMUs by such a definition of cross-efficency. As for this method-construction pattern, this paper has pointed, by reference to the theoretical concept of efficiency in the domain of management and the theory of multiple attribute decision-making, that the CEES of DMUs not only doesn’t match the managerial concept of efficiency, but also does make no sense to reflect the goodness or badness of DMUs. In order to overcome these problems mentioned above, a new concept of DEA overall-coordinating relative efficiency is proposed based on a cross-evaluation strategy and the managerial concept of efficiency. According to this new concept, based on the optimization theory, a new model is presented in this paper to measure the DEA overall-coordinating relative efficiencies of DMUs, which can be applied to rank DMUs. Theoretical and numerical analysis also shows that the new model has several comparative advantages over current methods for ranking DMUs.

Key words: DEA, cross-efficiency, cross-evaluation strategy, DMUs’ ranking

中图分类号:

C934

李春好, 苏航. 基于交叉评价策略的DEA全局协调相对效率排序模型[J]. 中国管理科学, 2013, 21(3): 137-145.

LI Chun-hao, SU Hang. A ranking Model According to Overall-coordinating Relative Efficiencies of Decision Making Units Based on Cross-evaluation Strategy[J]. Chinese Journal of Management Science, 2013, 21(3): 137-145.

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