Data envelopment analysis (DEA) efficiency measures integrated with the environmental DEA technology have gained popularity in environmental performance measurement of production system including undesirable outputs. Most studies treat the production system as a black box. This study measures the environmental performance considering the internal structure of production system as a two-stage process. The first stage is characterized as the production stage, and the second stage is the pollutant treatment stage. We extend the relational model from the constant returns to scale framework to the variable returns to scale version. The environmental efficiency of the entire two-stage production system for each DMU is a product of the environmental efficiencies of both stages, and a heuristic search is applied to the extended relational model. An example of industry system in some Chinese provinces shows applicability of the proposed approach. Since the model can effectively analyze a DMU’s environmental efficiencies for the overall system as well as both sub-stages. It can imply more veracious decision-making information for environmental management.
Mots-clés : DEA, environmental efficiency, two stage, relational model
@article{RO_2016__50_4-5_965_0,
author = {Shi, Xiao},
title = {Environmental efficiency analysis based on relational two-stage {DEA} model},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {965--977},
publisher = {EDP-Sciences},
volume = {50},
number = {4-5},
year = {2016},
doi = {10.1051/ro/2015059},
mrnumber = {3570542},
zbl = {1353.90053},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/ro/2015059/}
}
TY - JOUR AU - Shi, Xiao TI - Environmental efficiency analysis based on relational two-stage DEA model JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2016 SP - 965 EP - 977 VL - 50 IS - 4-5 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2015059/ DO - 10.1051/ro/2015059 LA - en ID - RO_2016__50_4-5_965_0 ER -
%0 Journal Article %A Shi, Xiao %T Environmental efficiency analysis based on relational two-stage DEA model %J RAIRO - Operations Research - Recherche Opérationnelle %D 2016 %P 965-977 %V 50 %N 4-5 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2015059/ %R 10.1051/ro/2015059 %G en %F RO_2016__50_4-5_965_0
Shi, Xiao. Environmental efficiency analysis based on relational two-stage DEA model. RAIRO - Operations Research - Recherche Opérationnelle, Special issue - Advanced Optimization Approaches and Modern OR-Applications, Tome 50 (2016) no. 4-5, pp. 965-977. doi : 10.1051/ro/2015059. http://archive.numdam.org/articles/10.1051/ro/2015059/
, and , Incentives for environmental self regulation and implications for environmental performance. J. Environ. Econ. Manage. 48 (2004) 632–654. | DOI | Zbl
, Estimating most productive scale size using data envelopment analysis. Eur. J. Oper. Res. 17 (1984) 35–44. | DOI | Zbl
, and , Malmquist indices of productivity growth during the deregulation of Norwegian banking, 1980–1989. Scand. J. Econ. 94 (1992) 211–228. | DOI
, Eco-efficiency evaluation of non-cooperative game two-stage production system. J. Manage. Sci. China 7 (2012) 11–19.
, , , Sustainability, ecoefficiency, lifecycle management, and business strategy. Environ. Qual. Manage. 8 (1999) 33–41. | DOI
, , and , Environmental efficiency analysis of transportation system in China: A non-radial DEA approach. Energ. Policy 58 (2013) 277–283. | DOI
, , and , Additive efficiency decomposition in two-stage DEA. Eur. J. Oper. Res. 196 (2009) 1170–1176. | DOI | Zbl
W. Cooper, L.M. Seiford and J. Zhu, Handbook on data envelopment analysis. International Series in Operations Research & Management Science. Springer (2004). | MR | Zbl
L.D. DeSimone and F. Popoff, Eco-efficiency: the business link to sustainable development. MIT Press (2000).
, and , Composition versus decomposition in two-stage network DEA: a reverse approach. J. Prod. Anal. 42 (2014) 1–17.
, , and , Multilateral productivity comparisons when some outputs are undesirable: a nonparametric approach. Rev. Econ. Manage. 71 (1989) 90–98.
, , and , Characteristics of a polluting technology: theory and practice. J. Econ. 126 (2005) 469–492. | DOI | MR | Zbl
, , Modelling undesirable outputs with zero sum gains data envelopment analysis models. J. Oper. Res. Soc. 59 (2008) 616–623. | DOI | Zbl
and , Non-parametric productivity analysis with undesirable outputs: an application to the Canadian pulp and paper industry. Am. J. Agr. Econ. 83 (2001) 605–616. | DOI
and , Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan. Eur. J. Oper. Res. 185 (2008) 418–429. | DOI | Zbl
, and , Measuring macroeconomic performance in the OECD: a comparison of European and non-European countries. Eur. J. Oper. Res. 87 (1995) 507–518. | DOI | Zbl
, and , Assessing the sustainability performances of industries. J. Clean. Prod. 13 (2005) 373–385. | DOI
, , and , DEA models for extended two-stage network structures. Omega 40 (2012) 611–618. | DOI
, and , DEA models for twostage processes: Game approach and efficiency decomposition. Nav. Res. Log. 55 (2008) 643–653. | DOI | MR | Zbl
, , and , DEA models for supply chain efficiency evaluation. Ann. Oper. Res. 145 (2006) 35–49. | DOI | MR | Zbl
W. Liu and J. Sharp, DEA models via goal programming. In: Data Envelopment Analysis in the Service Sector. Springer (1999) 79–101.
, , and , DEA models with undesirable inputs and outputs. Ann. Oper. Res. 173 (2010) 177–194. | DOI | MR | Zbl
, et al., An ellipsoidal frontier model: Allocating input via parametric DEA. Eur. J. Oper. Res. 209 (2011) 113–121. | DOI | Zbl
, Translation invariance in data envelopment analysis: a generalization. Ann. Oper. Res. 66 (1996) 91–102. | DOI | MR | Zbl
and , Eco-efficiency analysis of an agricultural research complex. J. Environ. Manage. 68 (2003) 219–229. | DOI
, Undesirable outputs in efficiency valuations. Eur. J. Oper. Res. 132 (2001) 400–410. | DOI | Zbl
S. Schmidheiny, Changing course. A global business perspective on development and the environment. MIT Press 1 (1992).
and , Modeling undesirable factors in efficiency evaluation. Eur. J. Oper. Res. 142 (2002) 16–20. | DOI | Zbl
and , A response to comments on modeling undesirable factors in efficiency evaluation. Eur. J. Oper. Res. 161 (2005) 579–581. | DOI | Zbl
, and , A two-stage DEA approach for environmental efficiency measurement. Environ. Monit. Assess. 186 (2014) 3041–3051. | DOI
, et al., Environmental efficiency evaluation of industry in China based on a new fixed sum undesirable output data envelopment analysis. J. Clean. Prod. 74 (2014) 96–104. | DOI
, Measuring physical efficiency of domestic airports in Taiwan with undesirable outputs and environmental factors. J. Air. Trans. Manage. 10 (2004) 295–303. | DOI
and , Environmental energy efficiency of China’s regional economies: A non-oriented slacks-based measure analysis. Soc. Sci. J. 50 (2013) 225–234. | DOI
, and , Slacks-based efficiency measures for modeling environmental performance. Ecol. Econ. 60 (2006) 111–118. | DOI
, and , A non-radial DEA approach to measuring environmental performance. Eur. J. Oper. Res. 178 (2007) 1–9. | DOI | Zbl
Cité par Sources :
