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

Authors: Guo-Liang Yang; Ali Emrouznejad

Addresses: Institute of Policy and Management, Chinese Academy of Sciences, Beijing 100190, China ' Aston Business School, Aston University, Birmingham, B4 7ET, UK

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.

Keywords: data envelopment analysis; DEA without explicit input; efficient frontier; anti-efficient frontier.

DOI: 10.1504/IJOR.2019.101458

International Journal of Operational Research, 2019 Vol.35 No.4, pp.505 - 528

Received: 29 Dec 2015
Accepted: 08 Oct 2016

Published online: 11 Aug 2019 *

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