Measuring regional efficiency of energy and carbon dioxide emissions in China A chance constrained DEA approach英文书.pdf

Computers Operations Research 66 (2016) 351–361 Contents lists available at ScienceDirect Computers Operations Research journal homepage: /locate/caor Measuring regional ef?ciency of energy and carbon dioxide emissions in China: A chance constrained DEA approach Yong Zha a, Linlin Zhao a, Yiwen Bian b,n a School of Management, University of Science and Technology of China, PR China b SHU-UTS SILC (Sydney Institute of Language Commerce) Business School, Shanghai University, Shanghai 201899, PR China article info Available online 28 August 2015 Keywords: Data envelopment analysis (DEA) CO2 emissions uncertainty Stochastic DEA model Energy and CO2 emissions ef?ciency abstract There exist multiple randomness errors (commonly regarded as the uncertainty) in the estimation of CO2 emissions. This uncertainty has been an important issue in regional energy use and carbon dioxide (CO2) emissions ef?ciency evaluation. To address this issue, a radial stochastic DEA model is proposed based on chance constrained programming. Then, the radial stochastic model is extended to a non-radial model for measuring pure energy use and CO2 emissions ef?ciencies. Based on the stochastic non-radial model, the measures of energy ef?ciency, CO2 emissions ef?ciency, energy saving potential and CO2 emissions reduction potential are provided. The proposed approach has been applied to evaluate regional ef?ciencies of energy use and CO2 emissions in China by using the data set in 2010. The empirical study results show that the uncertainty of CO2 emissions has signi?cant in?uences on regional ef?ciencies of energy use and CO2 emissions, especially the ef?ciency of CO2 emissions, and the proposed stochastic models can effectively deal with the uncertainty of CO2 emissions in the process of ef?ciency evaluation. 2015 Elsevier Ltd. All rights reserved. 1. Introduction The past three decades have witnessed a remarkable progress in the social and economic development of China. Chinas gross domestic pr