English

运筹学学报 ›› 2019, Vol. 23 ›› Issue (4): 34-44.doi: 10.15960/j.cnki.issn.1007-6093.2019.04.003

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具有包容关系的结构异质DEA效率评价方法

陈磊, 王应明*   

  1. 福州大学经济与管理学院, 福州 350116
  • 收稿日期:2018-05-28 发布日期:2019-12-04
  • 通讯作者: 王应明 E-mail:msymwang@hotmail.com
  • 基金资助:
    国家自然科学基金（No.71801050），福建省自然科学基金（No.2019J01637），福建省社会科学规划项目（No.FJ2018C014）

A structural heterogeneity DEA method with containment relationship for efficiency evaluation

CHEN Lei, WANG Yingming*   

  1. School of Economics&Management, Fuzhou University, Fuzhou 350116, China
  • Received:2018-05-28 Published:2019-12-04

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摘要： 指标结构同质是数据包络分析（DEA）方法的基本假设之一；然而，现实问题的复杂性使得该假设常常难以完全被满足.针对具有包容关系的产出结构异质问题，通过解析决策单元（DMU）之间生产结构的内在关系来构建一种分阶段的DEA效率评价方法.该方法充分考虑了不同结构DMU的主观偏好，较好地规避了传统DEA方法在结构异质DMU效率评价过程中的不公平性.随后，该方法分别被拓展至投入结构异质和多重结构异质的情境中.最后，通过两个算例来说明本文方法的有效性与实用性.

关键词: 数据包络分析(DEA), 结构异质, 并联网络结构, 包容关系

Abstract: The homogeneity of the index structure is one of the basic assumptions for the data envelopment analysis (DEA) method. However, the complexity of the practical problems always makes this assumption difficult to be fully satisfied. Aiming at the heterogeneous problem of outputs structure with the containment relationship, this paper constructs a phased DEA efficiency evaluation method by analyzing the internal relationship of production structure between decision making units (DMUs). This method takes the subjective preferences of DMUs with different structures into consideration, and avoids the unfairness of traditional DEA method in the process of efficiency evaluation, which has the DMUs with structural heterogeneity. Subsequently, this method is extended to the context of the inputs structure heterogeneity and the multiple structural heterogeneities, respectively. Finally, two examples are used to illustrate the effectiveness and practicability of the method proposed by this paper.

Key words: data envelopment analysis (DEA), structural heterogeneity, parallel network structure, containment relationship

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