A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems

被引:5
作者
Esfidani, Samaneh [1 ]
Lotfi, Farhad Hosseinzadeh [2 ]
Razavyan, Shabnam [1 ]
Ebrahimnejad, Ali [3 ]
机构
[1] Islamic Azad Univ Tehran, Dept Math, South Tehran Branch, Tehran, Iran
[2] Islamic Azad Univ Tehran, Dept Math, Sci & Res Branch, Tehran, Iran
[3] Islamic Azad Univ, Dept Math, Qaemshahr Branch, Qaemshahr, Qaemshahr, Iran
关键词
Data envelopment analysis; efficiency; two-stage system; multi-period; slacks-based measure; DATA ENVELOPMENT ANALYSIS; NETWORK DEA APPROACH; MODEL; INEFFICIENCY; OUTPUTS; INPUTS;
D O I
10.1051/ro/2019113
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Two-stage production systems are often encountered in many real applications where the production process is divided into two processes. In contrast to the conventional data envelopment analysis (DEA) models, two-stage DEA models take the operations of the internal processes into account. A number of studies have used two-stage DEA models in order to evaluate the performance of decision making units (DMUs) having a network structure. In this paper, we use a non-radial DEA model called the network slacks-based measure (NSBM) model to measure the efficiency of a system with a multi-period two-stage structure. Then we describe the properties of the proposed model in details. Moreover, we shall decompose the overall efficiency of the system over a number of time periods as a weighted average of the efficiency in each period. The efficiency of the stages, in respect to the entire periods shall be decomposed in terms of the weighted average efficiency of the stages in each period. Finally, the real data of Mellat bank branches in Tehran extracted from extant literature is used to illustrate the proposed approach.
引用
收藏
页码:1657 / 1671
页数:15
相关论文
共 46 条
[1]   Estimating two-stage network Slacks-based inefficiency: An application to Bangladesh banking [J].
Akther, Syed ;
Fukuyama, Hirofumi ;
Weber, William L. .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2013, 41 (01) :88-96
[2]   A DEA two-stage decision processes with shared resources [J].
Amirteimoori, Alireza .
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH, 2013, 21 (01) :141-151
[3]  
[Anonymous], 2018, OBSTET GYNECOL, V13, pe49
[4]  
Ashrafi A., 2011, International Journal of Mathematical Analysis, V5, P1435
[5]   Two-stage network DEA: when intermediate measures can be treated as outputs from the second stage [J].
Aviles-Sacoto, Sonia ;
Cook, Wade D. ;
Imanirad, Raha ;
Zhu, Joe .
JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2015, 66 (11) :1868-1877
[6]   Equivalent multiplier and envelopment DEA models for measuring efficiency under general network structures [J].
Boloori, Fatemeh ;
Afsharian, Mohsen ;
Pourmahmoud, Jafar .
MEASUREMENT, 2016, 80 :259-269
[7]   MEASURING EFFICIENCY OF DECISION-MAKING UNITS [J].
CHARNES, A ;
COOPER, WW ;
RHODES, E .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1978, 2 (06) :429-444
[8]   Additive efficiency decomposition in two-stage DEA [J].
Chen, Yao ;
Cook, Wade D. ;
Li, Ning ;
Zhu, Joe .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2009, 196 (03) :1170-1176
[9]   Network DEA: Additive efficiency decomposition [J].
Cook, Wade D. ;
Zhu, Joe ;
Bi, Gongbing ;
Yang, Feng .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 207 (02) :1122-1129
[10]   A network DEA approach for series multi-stage processes [J].
Despotis, Dimitris K. ;
Sotiros, Dimitris ;
Koronakos, Gregory .
OMEGA-INTERNATIONAL JOURNAL OF MANAGEMENT SCIENCE, 2016, 61 :35-48