An Approach in Solving Data Envelopment Analysis with Stochastic Data

被引:0
作者
Nafei, Amir Hossein [1 ,2 ]
Azizi, Seyed Mohammad Esmaeil Pourmohammad [1 ,2 ]
Ghasempour, Rajab Ali [1 ,2 ]
机构
[1] Semnan Univ, Dept Math, Semnan, Iran
[2] Allameh Tabatabaei Univ, Dept Math, Tehran, Iran
来源
FUZZY INFORMATION AND ENGINEERING AND DECISION | 2018年 / 646卷
关键词
Data envelopment analysis; Stochastic programing; Stochastic input and output; Interval data; EFFICIENCY;
D O I
10.1007/978-3-319-66514-6_17
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The importance and necessity of the data envelopment analysis as a relevant and effective instrument in investigation of the performance of units studied such as banks and so forth is an evident issue. One of the main issues we encounter is envelope analysis of data with random variable values. In this research, by explaining the general model of the data envelopment analysis models and inspired by how to work on interval input/output, there would a solution for random state provided. In fact, the interval the random variable varies in is considered and using envelope analysis on interval data, we will determine the effective unit.
引用
收藏
页码:154 / 162
页数:9
相关论文
共 10 条
[1]   SOME MODELS FOR ESTIMATING TECHNICAL AND SCALE INEFFICIENCIES IN DATA ENVELOPMENT ANALYSIS [J].
BANKER, RD ;
CHARNES, A ;
COOPER, WW .
MANAGEMENT SCIENCE, 1984, 30 (09) :1078-1092
[2]   CHANCE-CONSTRAINED PROGRAMMING [J].
CHARNES, A ;
COOPER, WW .
MANAGEMENT SCIENCE, 1959, 6 (01) :73-79
[3]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444
[4]  
Cooper W.W., 2000, Data envelopment analysis: A comprehensive text with models, applications, references and DEA-Solver software
[5]   Data envelopment analysis with imprecise data [J].
Despotis, DK ;
Smirlis, YG .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2002, 140 (01) :24-36
[6]   Measuring environmental performance with stochastic environmental DEA: The case of APEC economies [J].
Jin, Jingliang ;
Zhou, Dequn ;
Zhou, Peng .
ECONOMIC MODELLING, 2014, 38 :80-86
[7]   FUZZY RANDOM-VARIABLES .1. DEFINITIONS AND THEOREMS [J].
KWAKERNAAK, H .
INFORMATION SCIENCES, 1978, 15 (01) :1-29
[8]  
Land K.C., 1993, Managerial and Decision Economics, V14, P541, DOI [10.1002/mde.4090140607, DOI 10.1002/MDE.4090140607]
[9]   CHANCE-CONSTRAINED EFFICIENCY EVALUATION [J].
OLESEN, OB ;
PETERSEN, NC .
MANAGEMENT SCIENCE, 1995, 41 (03) :442-457
[10]  
Ross S., 2010, A first course in probability