DEA models for ratio data: Convexity consideration

被引：157

作者：

Emrouznejad, Ali ^{[1
]}

Amin, Gholam R. ^{[2
]}

机构：

[1] Aston Univ, Operat & Informat Management Grp, Aston Business Sch, Birmingham B4 7ET, W Midlands, England

[2] Islam Azab Univ, S Tehran Branch, Dept Comp Engn, Postgrad Engn Ctr, Tehran, Iran

来源：

APPLIED MATHEMATICAL MODELLING | 2009年 / 33卷 / 01期

关键词：

Linear programming; Data envelopment analysis (DEA); Production possibility set (PPS); Ratio data; Convexity; MEASURING EFFICIENCY; ENVELOPMENT; INPUT;

D O I：

10.1016/j.apm.2007.11.018

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：486 / 498

页数：13

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