摘要
为进一步了解系统投入–产出效率产生的原因、内部构成及各部分的贡献,基于两阶段数据包络分析(DEA)模型,构建同时优化投入和产出指标的两阶段组合DEA模型,证明该模型与其对偶模型之间的对应等价关系,并将该模型应用于规模报酬不变和规模报酬可变的情形.通过构建方向距离函数,该模型可等价为多目标线性规划(MOLP)模型.最后,通过算例验证了模型的有效性.
To analyze the internal structure and individual component＇s contributions for the overall efficiency of a production system, a novel two-stage DEA model that jointly optimizes both the inputs and outputs is constructed based on the two-stage data envelopment analysis （DEA） model. The corresponding primal/dual relationships in the models are proved. This model is applied to the cases of constant return to scale and variable return to scale. By constructing a directional distance function, the model can be equivalent to the multiple objective linear programming （MOLP） model. Finally, numerical examples are solved to prove the efficiency of the model.
作者
邓忆瑞
李宁
杨艳丽
杨印生
Deng Yirui^;Li Ning^;Yang Yanli^;Yang Yinsheng^(School of Economics And Management, China University of Petroleum, Qingdao 266580, China;Department of Control Engineering, Rocket Force University of Engineering, Xi＇an 710025, China;School of Biological and Agricultural Engineering, Jilin University, Changchun 130021, China)
出处
《系统工程学报》
CSCD
北大核心
2018年第2期258-270,288,共14页
Journal of Systems Engineering
基金
国家科技重大专项子课题资助项目(2016ZX05033005-008)
教育部人文社科资助项目(11YJC630100)
山东省自然科学基金联合专项资助项目(ZR2013GL007)
关键词
数据包络分析
决策单元
多目标线性规划
组合模型
DEA
decision making unit
multiple objective linear programming
combine model
