An efficient approach for computing non-Archimedean ε in DEA based on integrated models

被引：12

作者：

MirHassani, SA ^{[1
]}

Alirezaee, MR

机构：

[1] Shahrood Univ Technol, Dept Math, Shahrood 36155316, Iran

[2] Iran Univ Sci & Technol, Dept Math, Tehran, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 166卷 / 02期

关键词：

data envelopment analysis; non-Archimedean infinitesimal; integrated model;

D O I：

10.1016/j.amc.2004.06.093

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a new approach for computing the non-Archimedean epsilon which leads to an efficient procedure to determine the overall assurance interval based on integrated form of DEA models. The non-Archimedean epsilon can be found such that, the optimal values of all CCR models, which are corresponding to all DMUs, are bounded and an assurance value is obtained. The procedure is applied to a set of data related to oil and gas industry, power plants industry and economics. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：449 / 456

页数：8

共 12 条

[1]

ALI AI, 1993, INFOR, V31, P290

[2] A polynomial-time algorithm for finding ε in DEA models [J].

Amin, GR ;

Toloo, M .

COMPUTERS & OPERATIONS RESEARCH, 2004, 31 (05) :803-805

[3] 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

[4] LINEAR PRODUCTION-FUNCTIONS AND THE DATA ENVELOPMENT ANALYSIS [J].

CHANG, KP ;

GUH, YY .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1991, 52 (02) :215-223

[5] MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].

CHARNES, A ;

COOPER, WW ;

RHODES, E .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444

[6] USING DATA ENVELOPMENT ANALYSIS TO EVALUATE EFFICIENCY IN THE ECONOMIC-PERFORMANCE OF CHINESE CITIES [J].

CHARNES, A ;

COOPER, WW ;

LI, SL .

SOCIO-ECONOMIC PLANNING SCIENCES, 1989, 23 (06) :325-344

[7]

Cooper W, 2000, DATE ENVELOPMENT ANA

[8] Efficiency bounds in data envelopment analysis [J].

Green, RH ;

Doyle, JR ;

Cook, WD .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 89 (03) :482-490

[9] Determining assurance interval for non-Archimedean element in the improving outputs model in DEA [J].

Jahanshahloo, GR ;

Khodabakhshi, M .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (02) :501-506

[10] An assurance interval for the non-Archimedean epsilon in DEA models [J].

Mehrabian, S ;

Jahanshahloo, GR ;

Alirezaee, MR ;

Amin, GR .

OPERATIONS RESEARCH, 2000, 48 (02) :344-347

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