The directional distance function(DDF)framework has been widely used to estimate the marginal abatement cost(MAC)of CO_(2)emissions to support decision-making in environmental sustainability and climate change issues....The directional distance function(DDF)framework has been widely used to estimate the marginal abatement cost(MAC)of CO_(2)emissions to support decision-making in environmental sustainability and climate change issues.In the use of DDF,an important task is mapping evaluated entities towards a realistic production technology frontier.This study develops a new nonparametric approach for estimating the MAC of CO_(2)emissions.The approach incorporates the optimal endogenous direction into an enhanced environmental production technology and has three advantages.First,it avoids the arbitrariness in mapping directions.Second,it captures the heterogeneity in optimization paths across different decision-making units(DMUs).Third,it generates more reliable benchmarks for estimating MAC by constructing an environmental technology frontier that is consistent with the material balance principle.We apply the approach to study China's thermal power industry and find clear heterogeneity in MACs and optimization paths at the province level.The results on the optimal endogenous directions show that the DMUs prefer to increase both desirable output and CO_(2)emissions when CO_(2)emissions are unregulated.Comparisons with other approaches reveal that arbitrarily mapping exogenous directions and technology representations are likely to generate distorted and unrealistic MACs.展开更多
Scheduling with group technology has been a vivid research area in the past decades.However,group technology with general dual-effect variable processing times needs to be further explored although this kind of group...Scheduling with group technology has been a vivid research area in the past decades.However,group technology with general dual-effect variable processing times needs to be further explored although this kind of group technology plays an important role in some actual manufacturing scenarios.Accordingly,this paper considers group scheduling problems with a kind of general group variable processing times model,where the actual processing time of each job in group is variable due to the dual effect of both the job position and the group position.The objectives of two types of considered problems are to minimize the makespan and the total completion time,respectively.Based on the decomposition analysis,the mathematical logic analysis and the computational complexity proof,it is obtained that the makespan minimization problem and the total completion time minimization problem are both polynomially solvable under the condition that the group number is constant.For three special cases of considered problems,polynomial solving algorithms with lower computational complexity are proposed.展开更多
基金support provided by the National Natural Science Foundation of China(nos.71804066&71625005)。
文摘The directional distance function(DDF)framework has been widely used to estimate the marginal abatement cost(MAC)of CO_(2)emissions to support decision-making in environmental sustainability and climate change issues.In the use of DDF,an important task is mapping evaluated entities towards a realistic production technology frontier.This study develops a new nonparametric approach for estimating the MAC of CO_(2)emissions.The approach incorporates the optimal endogenous direction into an enhanced environmental production technology and has three advantages.First,it avoids the arbitrariness in mapping directions.Second,it captures the heterogeneity in optimization paths across different decision-making units(DMUs).Third,it generates more reliable benchmarks for estimating MAC by constructing an environmental technology frontier that is consistent with the material balance principle.We apply the approach to study China's thermal power industry and find clear heterogeneity in MACs and optimization paths at the province level.The results on the optimal endogenous directions show that the DMUs prefer to increase both desirable output and CO_(2)emissions when CO_(2)emissions are unregulated.Comparisons with other approaches reveal that arbitrarily mapping exogenous directions and technology representations are likely to generate distorted and unrealistic MACs.
基金the National Natural Science Foundation of China(No.71573121)China Postdoctoral Science Foundation Funded Project(No.2016M590453)the Fundamental Research Funds for the Central Universities(Nos.NS2016080 and NR2016005).
文摘Scheduling with group technology has been a vivid research area in the past decades.However,group technology with general dual-effect variable processing times needs to be further explored although this kind of group technology plays an important role in some actual manufacturing scenarios.Accordingly,this paper considers group scheduling problems with a kind of general group variable processing times model,where the actual processing time of each job in group is variable due to the dual effect of both the job position and the group position.The objectives of two types of considered problems are to minimize the makespan and the total completion time,respectively.Based on the decomposition analysis,the mathematical logic analysis and the computational complexity proof,it is obtained that the makespan minimization problem and the total completion time minimization problem are both polynomially solvable under the condition that the group number is constant.For three special cases of considered problems,polynomial solving algorithms with lower computational complexity are proposed.
