CAJ | 학술논문

对非精确数据包络分析(IDEA)的研究进行了简要的归纳与总结.首先,简要回顾了有关I-DEA的研究进展;其次,给出了非精确数据的定义与分类,将非精确型数据分为:边界数据、弱序数据、强序数据和比值有界数据;同时给出了几个基本假设和相关模型;接着,构建了一个适用于非精确型数据的IDEA模型,并且给出了尺度变换法和变量交替法以实现将非线性规划问题转换成线性规划问题;最后,为了提高求解效率,对Zhu提出的简化变量交替法进行了改进,指出这将减少实际应用中的计算复杂度.
대비정학수거포락분석(IDEA)적연구진행료간요적귀납여총결.수선,간요회고료유관I-DEA적연구진전;기차,급출료비정학수거적정의여분류,장비정학형수거분위:변계수거、약서수거、강서수거화비치유계수거;동시급출료궤개기본가설화상관모형;접착,구건료일개괄용우비정학형수거적IDEA모형,병차급출료척도변환법화변량교체법이실현장비선성규화문제전환성선성규화문제;최후,위료제고구해효솔,대Zhu제출적간화변량교체법진행료개진,지출저장감소실제응용중적계산복잡도.
This paper gave a brief review of imprecise data envelope analysis (IDEA ). Firstly, the study of I-DEA was briefly reviewed; secondly, the imprecise data, including the bounded data, the weak ordinal data, the strong ordinal data, and the ratio bounded data were defined and classified; some basic assumptions and models were also presented; then, an IDEA model was constructed which is suitable for applying the imprecise data; and then, the scale - transformation and variable - alternation approach were presented in order to convert the non - linear programming problem into a linear programming problem; lastly, in order to improve the algorithm, a simplified model developed by Zhou was improved, and pointed out that this will reduce the computational burden in applications.