Ranking DMUs by using the upper and lower bounds of the normalized efficiency in data envelopment analysis

被引：16
|
作者：
Liu, Wenli [1 ,2 ]
Wang, Ying-Ming [1 ]
机构：
[1] Fuzhou Univ, Decis Sci Inst, Fuzhou 350116, Fujian, Peoples R China
[2] Fuzhou Univ, Sch Math & Comp Sci, Fuzhou 350116, Fujian, Peoples R China
来源：
COMPUTERS & INDUSTRIAL ENGINEERING | 2018年 / 125卷
基金：
中国国家自然科学基金;
关键词：
Data envelopment analysis; Normalized efficiency; Interval efficiency; DECISION-MAKING UNITS; CROSS-EFFICIENCY; INTERVAL EFFICIENCIES; IMPRECISE DATA; DEA; MODEL; PERFORMANCES; EXTENSION;
D O I：
10.1016/j.cie.2018.08.017
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In data envelopment analysis, the existing methods for measuring the relative efficiencies of decision making units (DMUs) are to compare DMUs relative to the best or the worst of all DMUs. In this paper, we consider both the best DMU and the worst DMU as the reference DMUs and propose the normalized efficiency. Further, from the optimistic and pessimistic viewpoints, we construct two DEA models to obtain the upper and lower bounds of the normalized efficiency and then achieve an interval efficiency evaluation to rank all DMUs completely. Finally, two examples are presented to illustrate the performance of the interval efficiency evaluation.
引用
收藏
页码：135 / 143
页数：9
相关论文
共 50 条
  • [21] Ranking DMUs in the DEA context using super and cross efficiency
    Jeong, Byungho
    Ha, Jae-Won
    Ok, Chang-Soo
    [J]. THIRD INTERNATIONAL CONFERENCE ON KNOWLEDGE DISCOVERY AND DATA MINING: WKDD 2010, PROCEEDINGS, 2010, : 212 - 215
  • [22] Two-stage Data Envelopment Analysis (DEA) Efficiency for Decision Making Units (DMUs) with Bounded Data
    Pouryusef, M.
    Tohidi, G.
    Razavyan, S.
    [J]. ICMS: INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE, 2010, 1309 : 757 - +
  • [23] A complete efficiency ranking of decision making units in data envelopment analysis
    Mehrabian, S
    Alirezaee, MR
    Jahanshahloo, GR
    [J]. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 1999, 14 (02) : 261 - 266
  • [24] A Complete Efficiency Ranking of Decision Making Units in Data Envelopment Analysis
    Saeid Mehrabian
    Mohammad R. Alirezaee
    Gholam R. Jahanshahloo
    [J]. Computational Optimization and Applications, 1999, 14 : 261 - 266
  • [25] Data Envelopment Analysis: Ranking Units using Data Depth Measures
    Sokol, Ondrej
    Rada, Miroslav
    [J]. INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2017), 2018, 1978
  • [26] Ranking trade resistance variables using data envelopment analysis
    Badau, Flavius
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2015, 247 (03) : 978 - 986
  • [27] Ranking Irrigation Planning Alternatives Using Data Envelopment Analysis
    K. Srinivasa Raju
    D. Nagesh Kumar
    [J]. Water Resources Management, 2006, 20 : 553 - 566
  • [28] Ranking irrigation planning alternatives using data envelopment analysis
    Raju, K. Srinivasa
    Kumar, D. Nagesh
    [J]. WATER RESOURCES MANAGEMENT, 2006, 20 (04) : 553 - 566
  • [29] Efficiency ranking of Indian Oil Companies (DMUs) using DEA techniques
    Guha, Banhi
    Bandyopadhyay, Gautam
    Upadhyay, Arun
    [J]. 2014 2ND INTERNATIONAL CONFERENCE ON BUSINESS AND INFORMATION MANAGEMENT (ICBIM), 2014,
  • [30] A new ranking method based on cross-efficiency in data envelopment analysis
    Lotfi, F. Hosseinzadeh
    Jahanshahloo, G. R.
    Zamani, P.
    [J]. AFRICAN JOURNAL OF BUSINESS MANAGEMENT, 2011, 5 (19): : 7923 - 7930
12345