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.
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DOI : 10.1051/ro/2019113
Mots-clés : Data envelopment analysis, efficiency, two-stage system, multi-period, slacks-based measure
@article{RO_2020__54_6_1657_0, author = {Esfidani, Samaneh and Hosseinzadeh Lotfi, Farhad and Razavyan, Shabnam and Ebrahimnejad, Ali}, title = {A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {1657--1671}, publisher = {EDP-Sciences}, volume = {54}, number = {6}, year = {2020}, doi = {10.1051/ro/2019113}, mrnumber = {4150235}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro/2019113/} }
TY - JOUR AU - Esfidani, Samaneh AU - Hosseinzadeh Lotfi, Farhad AU - Razavyan, Shabnam AU - Ebrahimnejad, Ali TI - A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 1657 EP - 1671 VL - 54 IS - 6 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2019113/ DO - 10.1051/ro/2019113 LA - en ID - RO_2020__54_6_1657_0 ER -
%0 Journal Article %A Esfidani, Samaneh %A Hosseinzadeh Lotfi, Farhad %A Razavyan, Shabnam %A Ebrahimnejad, Ali %T A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 1657-1671 %V 54 %N 6 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2019113/ %R 10.1051/ro/2019113 %G en %F RO_2020__54_6_1657_0
Esfidani, Samaneh; Hosseinzadeh Lotfi, Farhad; Razavyan, Shabnam; Ebrahimnejad, Ali. A slacks-based measure approach for efficiency decomposition in multi-period two-stage systems. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 6, pp. 1657-1671. doi : 10.1051/ro/2019113. http://www.numdam.org/articles/10.1051/ro/2019113/
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