Title
A modified slacks-based measure model for data envelopment analysis with ‘natural’ negative outputs and inputs
Abstract
This paper is primaril y concerned with Data Envelopment Analysis (DEA) of systems where negative outputs and negative inputs arise naturally. Examples of situations in which both negative inputs and negative outputs occur are given. More attention has been paid, in the literature, to the former type of problem. Most available DEA software does not solve this type of problem or copes with negative outputs and possibly negative inputs by assigning zero weights to them. A Modified Slacks Based Measure (MSBM) model is presented, in which both negative outputs and negative inputs occur. The MSBM model overcomes the lack of translation invariance in the Slacks-Based Measure model proposed by Tone (2001) by drawing on the directional distance function approach of Silva Portela et al (2004). The MSBM model takes into account individual input and output slacks, which provide s more precise evaluation of inefficient DMUs. It therefore, generally leads to lower efficiencies for inefficient DMUs than the Range Directional Model proposed by Silva Portela et al (2004).
Year
DOI
Venue
2007
10.1057/palgrave.jors.2602318
JORS
Keywords
DocType
Volume
modified slacks-based measure,: data envelopment analysis,negative output,negative inputs
Journal
58
Issue
ISSN
Citations 
12
0160-5682
41
PageRank 
References 
Authors
1.99
6
3
Name
Order
Citations
PageRank
J. A. Sharp1452.80
W. Meng2411.99
Wei Liu313113.66