修正的整数DEA模型及其在中西部高校社科研究中的应用  

A Modified Integer DEA Model and Its Application in Social Science Research of Central and Western Universities

作　　者：田雨珍 马占新[2] TIAN Yu-zhen;MA Zhan-xin(School of Distance Education,University Sains Malaysia,Penang 11800,Malaysia;School of Economics and Management,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]马来西亚理科大学远程教育学院,槟城11800 [2]内蒙古大学经济管理学院,内蒙古呼和浩特010021

出　　处：《数学的实践与认识》2024年第1期41-55,共15页Mathematics in Practice and Theory

基　　金：国家自然科学基金(72161031)。

摘　　要：传统的DEA模型有时并不能给出含有整数值决策单元的准确投影方向,而现有的整数DEA模型还存在投影值不准确以及模型过于复杂等不足.因此,首先指出并说明已有整数DEA模型存在的问题.其次,给出了一个修正的整数DEA模型,并讨论了模型的性质以及与已有模型的关系.考虑到现实评价中投入产出指标同时含有整数与非整数的情况,进而给出了在修正模型下的混合整数DEA模型.最后,应用提出的模型分析并比较了中国中西部102所高校的社科研究效率及优化问题.Sometimes,the conventional DEA model cannot give a precise projection for the integer-valued decision-making unit.Moreover,existing integer DEA models also have drawbacks of the inaccuracy of projection points and the complication of the model.Therefore,this paper points out and illustrates the drawbacks of the previous integer DEA models.Besides,we develop a modified model and then discuss the character and the relationship between the proposed model and previous integer DEA models.It is noted that the input-output maybe contain both integer-valued and real-valued in real evaluation.Therefore,this paper further introduces a modified mixed integer DEA model based on the above-proposed model.Additionally,the introduced model will be used to analyze and compare the social science research efficiency and optimization of 102 universities in central and western China.

关 键 词：整数DEA模型 效率分析 优化分析 中西部高校 社科研究 

分 类 号：G644[文化科学—高等教育学] O225[文化科学—教育学]