Modelling efficient and anti-efficient frontiers in DEA without explicit inputs

Guo-Liang Yang, Ali Emrouznejad

Research output: Contribution to journalArticle

Abstract

Data envelopment analysis (DEA) is one of the most widely used
tools in efficiency analysis of many business and non-profit organisations.
Recently, more and more researchers investigated DEA models without explicit
input (DEA-WEI). DEA-WEI models can divide DMUs into two categories:
efficient DMUs and inefficient DMUs. Usually there is a set of DMUs, which
are ‘efficient’ so that conventional DEA models could not rank them. In this
paper, we first develop a performance index based on efficient and
anti-efficient frontiers in DEA-WEI models. Further, the corresponding
performance index in DEA-WEI models with quadratic utility terms (quadratic
DEA-WEI) is proposed also. Finally, we present two case studies on
performance assessment of basketball players and the evaluation of research
institutes in Chinese Academy of Sciences (CAS) to show the applicability and
usefulness of the performance indices developed in this paper.
Original languageEnglish
Pages (from-to)505 - 528
Number of pages24
JournalInternational Journal of Operational Research
Volume35
Issue number4
DOIs
Publication statusPublished - 2 Aug 2019

Fingerprint

Efficient frontier
Modeling
Data envelopment analysis
Performance index
Basketball
Nonprofit organization
Evaluation
Efficiency analysis

Bibliographical note

© 2019 Inderscience Enterprises Ltd.

Keywords

  • Anti-efficient frontier
  • DEA without explicit input
  • Data envelopment analysis
  • Efficient frontier

Cite this

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abstract = "Data envelopment analysis (DEA) is one of the most widely usedtools in efficiency analysis of many business and non-profit organisations.Recently, more and more researchers investigated DEA models without explicitinput (DEA-WEI). DEA-WEI models can divide DMUs into two categories:efficient DMUs and inefficient DMUs. Usually there is a set of DMUs, whichare ‘efficient’ so that conventional DEA models could not rank them. In thispaper, we first develop a performance index based on efficient andanti-efficient frontiers in DEA-WEI models. Further, the correspondingperformance index in DEA-WEI models with quadratic utility terms (quadraticDEA-WEI) is proposed also. Finally, we present two case studies onperformance assessment of basketball players and the evaluation of researchinstitutes in Chinese Academy of Sciences (CAS) to show the applicability andusefulness of the performance indices developed in this paper.",
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Modelling efficient and anti-efficient frontiers in DEA without explicit inputs. / Yang, Guo-Liang; Emrouznejad, Ali.

In: International Journal of Operational Research, Vol. 35, No. 4, 02.08.2019, p. 505 - 528.

Research output: Contribution to journalArticle

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