Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/19933
Title: A bi-objective generalized data envelopment analysis model and point-to-set mapping projection
Authors: Wei, Q
Yan, H 
Xiong, L
Keywords: Bi-GDEA efficiency
Data envelopment analysis (DEA)
Non-dominated solution
Point-to-set mapping projection
Issue Date: 2008
Publisher: Elsevier
Source: European journal of operational research, 2008, v. 190, no. 3, p. 855-876 How to cite?
Journal: European journal of operational research 
Abstract: This work introduces a bi-objective generalized data envelopment analysis (Bi-GDEA) model and defines its efficiency. We show the equivalence between the Bi-GDEA efficiency and the non-dominated solutions of the multi-objective programming problem defined on the production possibility set (PPS) and discuss the returns to scale under the Bi-GDEA model. The most essential contribution is that we further define a point-to-set mapping and the mapping projection of a decision making unit (DMU) on the frontier of the PPS under the Bi-GDEA model. We give an effective approach for the construction of the point-to-set-mapping projection which distinguishes our model from other non-radial models for simultaneously considering input and output. The Bi-GDEA model represents decision makers' specific preference on input and output and the point-to-set mapping projection provides decision makers with more possibility to determine different input and output alternatives when considering efficiency improvement. Numerical examples are employed for the illustration of the procedure of point-to-set mapping.
URI: http://hdl.handle.net/10397/19933
ISSN: 0377-2217
EISSN: 1872-6860
DOI: 10.1016/j.ejor.2007.06.053
Appears in Collections:Journal/Magazine Article

Access
View full-text via PolyU eLinks SFX Query
Show full item record

SCOPUSTM   
Citations

11
Last Week
0
Last month
0
Citations as of Nov 9, 2017

WEB OF SCIENCETM
Citations

8
Last Week
0
Last month
0
Citations as of Oct 18, 2017

Page view(s)

63
Last Week
2
Last month
Checked on Nov 12, 2017

Google ScholarTM

Check

Altmetric



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.