DEA models for ratio data:convexity consideration

Emrouznejad, Ali and Amin, Gholam R. (2009). DEA models for ratio data:convexity consideration. Applied Mathematical Modelling, 33 (1), pp. 486-498.

Abstract

Data envelopment analysis (DEA) is defined based on observed units and by finding the distance of each unit to the border of estimated production possibility set (PPS). The convexity is one of the underlying assumptions of the PPS. This paper shows some difficulties of using standard DEA models in the presence of input-ratios and/or output-ratios. The paper defines a new convexity assumption when data includes a ratio variable. Then it proposes a series of modified DEA models which are capable to rectify this problem.

Publication DOI: https://doi.org/10.1016/j.apm.2007.11.018
Divisions: Aston Business School > Operations & information management
Aston Business School > Operations & information management research group
Uncontrolled Keywords: linear programming,data envelopment analysis,DEA,production possibility set,PPS,ratio data,convexity,Computational Mechanics,Control and Systems Engineering,Control and Optimization
Full Text Link: http://www.scopus.com/inward/record.url?scp=51749091078&partnerID=8YFLogxK
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Published Date: 2009-01
Authors: Emrouznejad, Ali
Amin, Gholam R.

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