A New Stochastic Model for Classifying Flexible Measures in Data Envelopment Analysis

作     者：Mansour Sharifi Ghasem Tohidi Behrouz Daneshian Farzin Modarres Khiyabani 

作者机构：Department of MathematicsTabriz BranchIslamic Azad UniversityTabrizIran Department of MathematicsCentral Tehran BranchIslamic Azad UniversityTehranIran 

出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)

年 卷 期：2021年第9卷第3期

页      面：569-592页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 0835[工学-软件工程] 0701[理学-数学] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Data envelopment analysis Flexible variables Stochastic model Random variable Classifying 

摘      要：The way to deal with flexible data from their stochastic presence point of view as output or input in the evaluation of efficiency of the decision-making units(DMUs)motivates new perspectives in modeling and solving data envelopment analysis(DEA)in the presence of flexible *** the orientation of flexible data is not pre-determined,and because the number of DMUs is fixed and all the DMUs are independent,flexible data can be treated as random variable in terms of both input and output *** a result,the selection of flexible variable as input or output for n DMUs can be regarded as binary random *** the randomness of choosing flexible data as input or output,we deal with DEA models in the presence of flexible data whose input or output orientation determines a binomial distribution *** study provides a new insight to classify flexible variable and investigates the input or output status of a variable using a stochastic *** proposed model obviates the problems caused by the use of the large M number and using its different values in previous *** addition,it can obtain the most appropriate efficiency value for decision-making units by assigning the chance of choosing the orientation of flexible variable to the model *** proposed method is compared with other available methods by employing numerical and empirical examples.