规模报酬递增区域决策单元的技术有效性评价  

Evaluation on Technical Efficiency of Decision Making Units on the Segment of Increasing Returns to Scale

作　　者：董进全[1] 木仁[1] 刘佳[1] DONG Jin-quan Muren LIU Jia(School of Management, Inner Mongolia University of Technology, Hohhot 010051 ,China)

机构地区：[1]内蒙古工业大学管理学院,呼和浩特010051

出　　处：《内蒙古大学学报（自然科学版）》2017年第4期376-385,共10页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(71401084);内蒙古自然科学基金(2015MS0717;2015MS0718)

摘　　要：提出了产出价值化度量意义下决策单元投入产出效率评价的概念,定义了产出价值化度量意义下投入规模的规模收益状况,证明了投入可能集依规模收益状况的可分划性.在此基础上,给出了规模收益递增区域内决策单元的拟凹规模递增技术效率(简称QC-IRS效率)的定义及相应的效率评价模型.新定义的技术效率消除了在规模收益递增区域可能出现的"凸性公理"与生产函数非凹相矛盾的现象并有效利用了决策单元规模收益递增的信息,因而可以更好地度量决策单元的技术有效性.The concept of input-output efficiency of a decision making unit （DMU） under the circumstance of output-measured-in-value is proposed, the return to scale of an input scale under the circumstance of output-measured-in-value is defined and the conclusion that input possible set can be divided into segment of increasing returns to scale （IRS）,constant returns to scale （CRS） and de- creasing returns to scale （DRS） is proved. Furthermore,a new type technical efficiency for DMUs on IRS segment, namely quasi-concave IRS efficiency,is defined. The corresponding evaluating mod- el is established as well. The new type technical efficiency eliminates the phenomenon that convex axiom contradicts with non-concave production function,and adopts the information that DMUs are increasing returns to scale. Therefore,it is more proper to measure the technical efficiency of DMUs on the segment of IRS than conventional definitions.

关 键 词：数据包络分析 产出价值化 拟凹 规模收益递增 技术效率 

分 类 号：F016[经济管理—政治经济学] N945.16[自然科学总论—系统科学]