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Incorporating performance measures with target levels in data envelopment analysis

Authors
Lim, SungmookZhu, Joe
Issue Date
1-Nov-2013
Publisher
ELSEVIER SCIENCE BV
Keywords
Data envelopment analysis (DEA); Performance measure; Target level; Efficiency
Citation
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, v.230, no.3, pp 634 - 642
Pages
9
Indexed
SCIE
SCOPUS
Journal Title
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume
230
Number
3
Start Page
634
End Page
642
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/101646
DOI
10.1016/j.ejor.2013.04.051
ISSN
0377-2217
1872-6860
Abstract
Data envelopment analysis (DEA) is a technique for evaluating relative efficiencies of peer decision making units (DMUs) which have multiple performance measures. These performance measures have to be classified as either inputs or outputs in DEA. DEA assumes that higher output levels and/or lower input levels indicate better performance. This study is motivated by the fact that there are performance measures (or factors) that cannot be classified as an input or output, because they have target levels with which all DMUs strive to achieve in order to attain the best practice, and any deviations from the target levels are not desirable and may indicate inefficiency. We show how such performance measures with target levels can be incorporated in DEA. We formulate a new production possibility set by extending the standard DEA production possibility set under variable returns-to-scale assumption based on a set of axiomatic properties postulated to suit the case of targeted factors. We develop three efficiency measures by extending the standard radial, slacks-based, and Nerlove-Luenberger measures. We illustrate the proposed model and efficiency measures by applying them to the efficiency evaluation of 36 US universities. (C) 2013 Elsevier B.V. All rights reserved.
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