An output-constrained DEA model as applied to efficiency analysis of football clubs

Article type: Research Article

Authors: Bi, Gongbing | Song, Wen | Song, Malin

Affiliations: School of Management, University of Science and Technology of China, Anhui Hefei, P.R. China

Note: [] Corresponding author. Malin Song, School of Management, University of Science and Technology of China, Anhui Hefei, P.R. China. Tel.: +8615805521822; Fax: +8605523173187; E-mail: songml@mail.ustc.edu.cn

Abstract: This paper proposes an output-constrained DEA (OCDEA) model to evaluate the efficiency of the production system with an upperly bounded sum of outputs. Unlike existing models with a constant sum of output, the proposed OCDEA can deal with a situation where the sum of outputs is not constant. It is found that OCDEA efficiency is not less than the CCR type for each decision-making unit (DMU). A CCR-efficient DMU is also an OCDEA-efficient one. An algorithm is provided to solve the OCDEA model, which is based on non-linear programming. Finally, the OCDEA model is applied to evaluate the efficiencies of the British Premier League.

Keywords: Data envelopment Analysis (DEA), relative efficiency, output constrained, British Premier League

DOI: 10.3233/IFS-141332

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 2, pp. 561-570, 2015