Efficiency measurement and projection analysis of efficient decision making units

被引：0
|
作者：
Ma Z. [1 ]
Hou P. [1 ]
机构：
[1] School of Economics and Management, Inner Mongolia University, Hohhot
来源：
Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice | 2023年 / 43卷 / 06期
基金：
中国国家自然科学基金;
关键词：
comprehensive evaluation; data envelopment analysis (DEA); DEA projection; multi-objective decision-making; super-efficiency;
D O I：
10.12011/SETP2022-2768
中图分类号：
学科分类号：
摘要：
The DEA model is an important method to measure the efficiency of the decision-making units (DMU), but some classical DEA models and their super-efficiency DEA models have the problem of efficiency overestimation. Meanwhile, the DEA method can give the deficiencies of inefficient units by the projection of DMU, but it can’t analyze the advantages of efficient units by their projections. Firstly, in order to analyze the advantages of effective DMU, this paper proposes the concept of super-efficiency projection of DMU based on the super-efficiency DEA model, and explains its economic implications. Secondly, in order to solve the problem of efficiency overestimation of DMU, this paper strictly proves that the C2R model, BC2 model, FG model, ST model and their super-efficiency DEA model all exist the problem of efficiency overestimation, and gives the judgment conditions and three (conservative, average and aggressive) efficiency measurement methods of DMU. Finally, the effectiveness of scientific and technological innovation activities in high-tech industries in western China is analyzed by applying these methods. The research results show that the method in this paper can not only effectively determine the case of efficiency being overestimated and give multiple efficiency measures, but also provide a new tool for analyzing the advantages of effective DMU. © 2023 Systems Engineering Society of China. All rights reserved.
引用
收藏
页码：1852 / 1872
页数：20
相关论文
共 37 条
  • [1] Charnes A, Cooper W W, Rhodes E., Measuring the efficiency of decision making units[J], European Journal of Operational Research, 2, 6, pp. 429-444, (1978)
  • [2] Ma Z X., Data envelopment analysis (Volume 1): Data envelopment analysis model and method, (2010)
  • [3] Cook W D, Seiford L M., Data envelopment analysis (DEA) — Thirty years on[J], European Journal of Operational Research, 192, 1, pp. 1-17, (2009)
  • [4] Ma Z X., Research on the data envelopment analysis method[J], Systems Engineering and Electronics, 24, 3, pp. 42-46, (2002)
  • [5] Wu P, Ding Y, Zhou L G, Et al., Large group emergency decision-making method based on DEA cross-efficiency and redundant information identification[J], Systems Engineering — Theory & Practice, 42, 10, pp. 2840-2852, (2022)
  • [6] Zhu Q Y, Dong X P, Zhang K T, Et al., Research on dynamic allocation mechanism of renewables quota in renewable portfolio standard[J], Systems Engineering — Theory & Practice, 42, 4, pp. 967-980, (2022)
  • [7] Banker R D, Charnes A, Cooper W W., Some models for estimating technical and scale inefficiencies in data envelopment analysis[J], Management Science, 30, 9, pp. 1078-1092, (1984)
  • [8] Fare R, Grosskopf S., A nonparametric cost approach to scale efficiency[J], Scandinavian Journal of Economics, 87, 4, pp. 594-604, (1985)
  • [9] Seiford L M, Thrall R M., Recent development in DEA: The mathematical programming approach to frontier analysis[J], Journal of Economics, 46, 1–2, pp. 7-38, (1990)
  • [10] Andersen P, Petersen N C., A procedure for ranking efficient units in data envelopment analysis[J], Management Science, 39, 10, pp. 1261-1264, (1993)
1234