Benchmarking the benchmarks - Comparing the accuracy of Data Envelopment Analysis models in constant returns to scale settings

被引:9
|
作者
Kohl, Sebastian [1 ,2 ]
Brunner, Jens O. [1 ,2 ]
机构
[1] Univ Augsburg, Fac Business & Econ, Hlth Care Operat Hlth Informat Management, Univ Str 16, D-86159 Augsburg, Germany
[2] Klinikum Augsburg UNIKA T, Univ Ctr Hlth Sci, Neusasser Str 47, D-86156 Augsburg, Germany
关键词
Data Envelopment Analysis; Monte Carlo experiments; Artificial data; EFFICIENCY MEASUREMENT; TECHNICAL EFFICIENCY; MONTE-CARLO; MISSPECIFICATION; RESTRICTIONS; INFERENCE; 2-STAGE;
D O I
10.1016/j.ejor.2020.02.031
中图分类号
C93 [管理学];
学科分类号
12 ; 1201 ; 1202 ; 120202 ;
摘要
Despite the massive use of Data Envelopment Analysis (DEA) models for efficiency estimations in scientific applications, no paper cared about identifying the DEA model, which is able to provide the most accurate efficiency estimates, so far. We develop an established method based on a Monte Carlo data generation process to create artificial data. As we use a Translog production function instead of the commonly utilized Cobb Douglas production function, we are able to construct meaningful scenarios for constant returns to scale. The decision-making units resulting from the generated data are then used to calculate DEA estimators using different DEA models. Finally, the quality of the resulting efficiency estimates is evaluated by five performance indicators and summarized in benchmark scores. With this procedure, we can postulate general statements on parameters that influence the quality of DEA studies in a positive/negative way and determine which DEA model operates in the most accurate way for a range of scenarios. Here, we can show that the Assurance Region and Slacks-Based-Measurement models outperform the CCR (Charnes-Cooper-Rhodes) model in constant returns to scale scenarios. We therefore recommend a reduced utilization of the CCR model in DEA applications. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码:1042 / 1057
页数:16
相关论文
共 50 条
  • [1] Analyzing the accuracy of variable returns to scale data envelopment analysis models
    Zarrin, Mansour
    Brunner, Jens O.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2023, 308 (03) : 1286 - 1301
  • [2] Returns to scale in multiplicative models in data envelopment analysis
    M. Zarepisheh
    E. Khorram
    G. R. Jahanshahloo
    [J]. Annals of Operations Research, 2010, 173 : 195 - 206
  • [3] Returns to scale in multiplicative models in data envelopment analysis
    Zarepisheh, M.
    Khorram, E.
    Jahanshahloo, G. R.
    [J]. ANNALS OF OPERATIONS RESEARCH, 2010, 173 (01) : 195 - 206
  • [4] A selecting model under constant returns to scale in data envelopment analysis
    Toloo, Mehdi
    Allahyar, Maryam
    [J]. PROCEEDINGS OF THE 12TH INTERNATIONAL CONFERENCE ON STRATEGIC MANAGEMENT AND ITS SUPPORT BY INFORMATION SYSTEMS (SMSIS), 2017, : 350 - 357
  • [5] Objective identification of technological returns to scale for data envelopment analysis models
    Alirezaee, Mohammadreza
    Hajinezhad, Ensie
    Paradi, Joseph C.
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2018, 266 (02) : 678 - 688
  • [6] Bridging the gap between the constant and variable returns-to-scale models: selective proportionality in data envelopment analysis
    Podinovski, VV
    [J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2004, 55 (03) : 265 - 276
  • [7] Returns to scale and scale elasticity in data envelopment analysis
    Fukuyama, H
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2000, 125 (01) : 93 - 112
  • [8] An investigation of returns to scale in data envelopment analysis
    Seiford, LM
    Zhu, J
    [J]. OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 1999, 27 (01): : 1 - 11
  • [9] Congestion and returns to scale in data envelopment analysis
    Wei, QL
    Yan, H
    [J]. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2004, 153 (03) : 641 - 660
  • [10] Measurement of returns-to-scale using interval data envelopment analysis models
    Hatami-Marbini, Adel
    Beigi, Zahra Ghelej
    Hougaard, Jens Leth
    Gholami, Kobra
    [J]. COMPUTERS & INDUSTRIAL ENGINEERING, 2018, 117 : 94 - 107