A DEA-based approach for allocation of emission reduction tasks

Rapid economic growth has led to increasing pollution emission, leading governments to require emission reductions by specific amounts. The allocation of specific emission reduction tasks has become a significant issue and has drawn the attention of academia. Data envelopment analysis (DEA) has been extended to construct the allocation of emission reduction tasks model. These previous DEA-based approaches have strong assumptions about individual enterprise production. In this paper, we propose a new method to accurately assess the production, using each enterprise’s previously observed production to construct its own production technology plan. With emission permits decreased, the enterprise can have new production strategy based on its own technology. Assuming emission permits can be freely bought and sold, we show how each enterprise can determine the optimal amount of emission allowance that should be used for production, which may leave some allowance to be sold for extra profit or may require the purchase of permits from other firms. Considering the limitation on the total allowance from emission permits, we introduce the concept of satisfaction degree and use it in maximising the minimum enterprise satisfaction degree. Last, a numerical example is presented and an empirical application is given to verify the proposed approach.

[1]  A. Charnes,et al.  Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis , 1984 .

[2]  L. Goulder,et al.  Revenue-Raising vs. Other Approaches to Environmental Protection: The Critical Significance of Pre-Existing Tax Distortions , 1996 .

[3]  Dallas Burtraw,et al.  Revenue-Raising versus Other Approaches to Environmental Protection: The Critical Significance of Preexisting Tax Distortions , 1997 .

[4]  Frank Ackerman,et al.  SO2 emissions trading: does it work? , 1997 .

[5]  Stanley Zionts,et al.  Use of Data Envelopment Analysis in assessing Information Technology impact on firm performance , 1997, Ann. Oper. Res..

[6]  Andrew Park,et al.  Reflections on the Double Dividend Debate , 1998 .

[7]  Dallas Burtraw,et al.  The Cost-Effectiveness of Alternative Instruments for Environmental Protection in a Second-Best Setting , 1998 .

[8]  Wade D. Cook,et al.  Characterizing an equitable allocation of shared costs: A DEA approach , 1999, Eur. J. Oper. Res..

[9]  Tobias N. Rasmussen,et al.  Allocation of CO2 Emissions Permits: A General Equilibrium Analysis of Policy Instruments , 2000 .

[10]  Ranjit Bharvirkar,et al.  The Effect of Allowance Allocation on the Cost of Carbon Emission Trading , 2001 .

[11]  Peter Cramton,et al.  Tradeable Carbon Permit Auctions: How and Why to Auction Not Grandfather , 2002 .

[12]  Timothy N. Cason,et al.  Transactions Costs in Tradable Permit Markets: An Experimental Study of Pollution Market Designs , 2003 .

[13]  E. Haites,et al.  Output-based allocation as a form of protection for internationally competitive industries , 2003 .

[14]  Christoph Böhringer,et al.  On the Design of Optimal Grandfathering Schemes for Emission Allowances , 2005 .

[15]  A. U.S.,et al.  Measuring the efficiency of decision making units , 2003 .

[16]  Till Requate,et al.  Environmental policy incentives to adopt advanced abatement technology:: Will the true ranking please stand up? , 2003 .

[17]  Pekka J. Korhonen,et al.  Resource Allocation Based on Efficiency Analysis , 2004, Manag. Sci..

[18]  Joe Zhu,et al.  Imprecise DEA via Standard Linear DEA Models with a Revisit to a Korean Mobile Telecommunication Company , 2004, Oper. Res..

[19]  Kord Rostami Sohrab,et al.  CHARACTERIZING AN EQUITABLE ALLOCATION OF SHARED COSTS , 2004 .

[20]  Dai Yong-wu A Review on the Emission Permits Trade of Carbon in China , 2004 .

[21]  S. Lozano,et al.  Centralized Resource Allocation Using Data Envelopment Analysis , 2004 .

[22]  Alan K. Fox,et al.  Output-Based Allocations of Emissions Permits: Efficiency and Distributional Effects in a General Equilibrium Setting with Taxes and Trade , 2004 .

[23]  Alireza Amirteimoori,et al.  Allocating fixed costs and target setting: A dea-based approach , 2005, Appl. Math. Comput..

[24]  Joe Zhu,et al.  Allocation of shared costs among decision making units: a DEA approach , 2005, Comput. Oper. Res..

[25]  Kristian Lindgren,et al.  Allocation of CO2 emission permits - economic incentives for emission reductions in developing countries. , 2006 .

[26]  A. Fujiwara,et al.  ENVIRONMENTAL EFFICIENCY ANALYSIS OF TRANSPORTATION SYSTEM , 2007 .

[27]  Lars Zetterberg,et al.  A Ten-Year Rule to guide the allocation of EU emission allowances , 2007 .

[28]  Marcos Pereira Estellita Lins,et al.  Modelling undesirable outputs with zero sum gains data envelopment analysis models , 2008, J. Oper. Res. Soc..

[29]  David L. Olson,et al.  Supply chain risk, simulation, and vendor selection , 2008 .

[30]  Nick Hanley,et al.  The optimal initial allocation of pollution permits: a relative performance approach , 2008 .

[31]  Sebastián Lozano,et al.  Centralised reallocation of emission permits using DEA , 2009, Eur. J. Oper. Res..

[32]  Yan Luo,et al.  Resource allocation and target setting for parallel production system based on DEA , 2011 .

[33]  Desheng Dash Wu,et al.  Serial Chain Merger Evaluation Model and Application to Mortgage Banking , 2012, Decis. Sci..

[34]  Sebastián Lozano,et al.  Information sharing in DEA: A cooperative game theory approach , 2012, Eur. J. Oper. Res..

[35]  Liang Liang,et al.  Allocating a fixed cost based on data envelopment analysis and satisfaction degree , 2013 .

[36]  Yi-Ming Wei,et al.  Regional allocation of CO2 emissions allowance over provinces in China by 2020 , 2013 .

[37]  Jie Wu,et al.  DEA based resource allocation considering environmental factors , 2013, Math. Comput. Model..

[38]  Liang Liang,et al.  A DEA-based approach for fair reduction and reallocation of emission permits , 2013, Math. Comput. Model..

[39]  Sebastián Lozano DEA production games , 2013, Eur. J. Oper. Res..

[40]  Ning Zhang,et al.  Environmental efficiency analysis of transportation system in China:A non-radial DEA approach , 2013 .

[41]  Ravi Bapna,et al.  Estimating Returns to Training in the Knowledge Economy: A Firm Level Analysis of Small and Medium Enterprises , 2014, MIS Q..

[42]  Toshi H. Arimura,et al.  Output-based allocation of emissions permits for mitigating the leakage and competitiveness issues for the Japanese economy , 2014 .

[43]  Ray Y. Zhong,et al.  Allocation of emission permits using DEA: centralised and individual points of view , 2014 .

[44]  Joe Zhu,et al.  Fixed cost and resource allocation based on DEA cross-efficiency , 2014, Eur. J. Oper. Res..

[45]  Gongbing Bi,et al.  Carbon Emissions Abatement (CEA) allocation and compensation schemes based on DEA , 2015 .

[46]  R. H. Soomro,et al.  Analysis of Small and Medium Enterprises’ definition: national and international perspective , 2015 .

[47]  Sebastián Lozano,et al.  Set-valued DEA production games , 2015 .

[48]  Jie Wu,et al.  Two-stage network processes with shared resources and resources recovered from undesirable outputs , 2016, Eur. J. Oper. Res..

[49]  Liang Liang,et al.  CO2 emissions and energy intensity reduction allocation over provincial industrial sectors in China , 2016 .

[50]  Liang Liang,et al.  Internal resource waste and centralization degree in two-stage systems: An efficiency analysis , 2016 .

[51]  Qingyuan Zhu,et al.  Measuring energy and environmental efficiency of transportation systems in China based on a parallel DEA approach , 2016 .