The directional hybrid measure of efficiency in data envelopment analysis

The efficiency measurement is a subject of great interest. The majority of studies on DEA models have been carried out using radial or non-radial approaches regarding the application of DEA for the efficiency measurement. This paper, based on the directional distance function, proposes a new general...

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Main Authors: Mirsalehy, A., Abu Baker, M. Rizam, Lee, L. S., Jahanshahloo, Gh. R.
Format: Article
Language:English
Published: IAUCTB 2016
Online Access:http://psasir.upm.edu.my/id/eprint/52971/
http://psasir.upm.edu.my/id/eprint/52971/1/The%20directional%20hybrid%20measure%20of%20efficiency%20in%20data%20envelopment%20analysis.pdf
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author Mirsalehy, A.
Abu Baker, M. Rizam
Lee, L. S.
Jahanshahloo, Gh. R.
author_facet Mirsalehy, A.
Abu Baker, M. Rizam
Lee, L. S.
Jahanshahloo, Gh. R.
author_sort Mirsalehy, A.
building UPM Institutional Repository
collection Online Access
description The efficiency measurement is a subject of great interest. The majority of studies on DEA models have been carried out using radial or non-radial approaches regarding the application of DEA for the efficiency measurement. This paper, based on the directional distance function, proposes a new generalized hybrid measure of efficiency under generalized returns to scale with the existence of both radial and non-radial inputs and outputs. It extends the hybrid measure of efficiency from Tone (2004) to a more general case. The proposed model is not only flexible enough for the decision-maker to adjust the radial and non-radial inputs and outputs to attain the efficiency score but also avoids the computational and interpretive difficulties, thereby giving rise to an important clarification and understanding of the generalized DEA model. Furthermore, several frequently-used DEA models (such as the CCR, BCC, ERM and SBM models) which depend on the radial or non-radial approaches are derived while their results were compared to the ones obtained from this hybrid model. The empirical examples emphasize the consequence of the proposed measure.
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spelling upm-529712017-11-22T02:52:37Z http://psasir.upm.edu.my/id/eprint/52971/ The directional hybrid measure of efficiency in data envelopment analysis Mirsalehy, A. Abu Baker, M. Rizam Lee, L. S. Jahanshahloo, Gh. R. The efficiency measurement is a subject of great interest. The majority of studies on DEA models have been carried out using radial or non-radial approaches regarding the application of DEA for the efficiency measurement. This paper, based on the directional distance function, proposes a new generalized hybrid measure of efficiency under generalized returns to scale with the existence of both radial and non-radial inputs and outputs. It extends the hybrid measure of efficiency from Tone (2004) to a more general case. The proposed model is not only flexible enough for the decision-maker to adjust the radial and non-radial inputs and outputs to attain the efficiency score but also avoids the computational and interpretive difficulties, thereby giving rise to an important clarification and understanding of the generalized DEA model. Furthermore, several frequently-used DEA models (such as the CCR, BCC, ERM and SBM models) which depend on the radial or non-radial approaches are derived while their results were compared to the ones obtained from this hybrid model. The empirical examples emphasize the consequence of the proposed measure. IAUCTB 2016 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/52971/1/The%20directional%20hybrid%20measure%20of%20efficiency%20in%20data%20envelopment%20analysis.pdf Mirsalehy, A. and Abu Baker, M. Rizam and Lee, L. S. and Jahanshahloo, Gh. R. (2016) The directional hybrid measure of efficiency in data envelopment analysis. Journal of Linear and Topology Algebra, 5 (3). pp. 155-174. ISSN 2252-0201; ESSN: 2345-5934 http://jlta.iauctb.ac.ir
spellingShingle Mirsalehy, A.
Abu Baker, M. Rizam
Lee, L. S.
Jahanshahloo, Gh. R.
The directional hybrid measure of efficiency in data envelopment analysis
title The directional hybrid measure of efficiency in data envelopment analysis
title_full The directional hybrid measure of efficiency in data envelopment analysis
title_fullStr The directional hybrid measure of efficiency in data envelopment analysis
title_full_unstemmed The directional hybrid measure of efficiency in data envelopment analysis
title_short The directional hybrid measure of efficiency in data envelopment analysis
title_sort directional hybrid measure of efficiency in data envelopment analysis
url http://psasir.upm.edu.my/id/eprint/52971/
http://psasir.upm.edu.my/id/eprint/52971/
http://psasir.upm.edu.my/id/eprint/52971/1/The%20directional%20hybrid%20measure%20of%20efficiency%20in%20data%20envelopment%20analysis.pdf