Performance evaluation and quota allocation for multiple undesirable outputs based on the uniform frontier

Chenpeng Feng 1 Feng Chu 2, 3 Nan Zhou 4 Gongbing Bi 5 Jingjing Ding 1
1 School of Management
2 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes
3 Management Engineering Research Center
4 School of Law and Politics
5 School of Management
Abstract : The zero sum gains data envelopment analysis (ZSG-DEA) models and the corresponding uniform frontier method are widely applied for performance evaluation and resource/quota allocation in practice. Nevertheless, assuming variable returns-to-scale (VRS) and a situation with multiple ZSG inputs/outputs, the existing ZSG-DEA models may have no feasible solution for some efficient decision making units (DMUs) and hence the uniform frontier cannot always be determined. In this study, two improved ZSG-DEA models are proposed, one assuming constant returns-to-scale (CRS) and the other VRS. Then, a general iterative algorithm is developed for resource/quota allocation based on the uniform frontier. We prove that the proposed method can always allocate multiple resources/quotas under both CRS and VRS assumptions, which extends the existing uniform frontier method research. An application to environmental performance evaluation and quota allocation for 30 administrative regions in China is presented to elucidate the main ideas.
Keywords : Uniform frontier Zero sum gains (ZSG) Data envelopment analysis (DEA) Quota allocation Environmental performance
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Journal articles
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https://hal.archives-ouvertes.fr/hal-01716979
Contributor : Frédéric Davesne <>
Submitted on : Sunday, February 25, 2018 - 5:49:14 PM
Last modification on : Monday, December 9, 2019 - 12:08:02 PM

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IBISC | UNIV-EVRY | IBISC-AROBAS | UNIV-PARIS-SACLAY

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Chenpeng Feng, Feng Chu, Nan Zhou, Gongbing Bi, Jingjing Ding. Performance evaluation and quota allocation for multiple undesirable outputs based on the uniform frontier. Journal of the Operational Research Society, Palgrave Macmillan, 2019, 70 (3), pp.472--486. ⟨10.1080/01605682.2018.1447248⟩. ⟨hal-01716979⟩

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