A slack-based super efficiency in a two-stage network structure with intermediate measures

A slack-based super efficiency in a two-stage network structure with intermediate measures

One of the main challenging issues in the conventional data envelopment analysis (DEA) is ranking efficient decision-making units (DMUs) when more than one DMU have the efficiency score equal to one. It must be mentioned that most of the DMUs have internal structures. In this regard, in order to mea...

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Main Authors: Hoda Golshani, Mohammad Khoveyni, Hadi Bagherzadeh Valami, Robabeh Eslami
Format: Article
Language:English
Published: Elsevier 2019-03-01
Series:Alexandria Engineering Journal
Online Access:http://www.sciencedirect.com/science/article/pii/S111001681930002X
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spelling doaj-b277d4ef4fd3419daddf4458968541252021-06-02T09:09:27ZengElsevierAlexandria Engineering Journal1110-01682019-03-01581393400A slack-based super efficiency in a two-stage network structure with intermediate measuresHoda Golshani0Mohammad Khoveyni1Hadi Bagherzadeh Valami2Robabeh Eslami3Department of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, IranDepartment of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran; Corresponding author at: Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Opposite of Imam Khomeini’s Holy Shrine, Khalij-e-Fars Highway, Tehran, Iran.Department of Applied Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Faculty of Technology and Engineering, South Tehran Branch, Islamic Azad University, Tehran, IranOne of the main challenging issues in the conventional data envelopment analysis (DEA) is ranking efficient decision-making units (DMUs) when more than one DMU have the efficiency score equal to one. It must be mentioned that most of the DMUs have internal structures. In this regard, in order to measure the efficiency score of these DMUs, network DEA methods are applied. Most researches are focused on assessing the efficiency of these DMUs and just like the classic DEA, several DMUs are efficient. To identify the sources and estimate the amount of inefficiencies in DMUs with network structure and overcome some shortcomings in the previous ranking models, in this paper, a slack-based network model of super efficiency, considering the optimal value of intermediate measures in the objective function and right handset for ranking overall efficient DMUs, are suggested to have more accurate and comprehensive ranking DMUs with internal structures. Finally, two numerical and empirical examples are provided to verify the discriminative power of the proposed model. Keywords: Data envelopment analysis (DEA), Network DEA (NDEA), Slack-based measure, Super efficiency, Rankinghttp://www.sciencedirect.com/science/article/pii/S111001681930002X
collection DOAJ
language English
format Article
sources DOAJ
author Hoda Golshani
Mohammad Khoveyni
Hadi Bagherzadeh Valami
Robabeh Eslami
spellingShingle Hoda Golshani
Mohammad Khoveyni
Hadi Bagherzadeh Valami
Robabeh Eslami
A slack-based super efficiency in a two-stage network structure with intermediate measures
Alexandria Engineering Journal
author_facet Hoda Golshani
Mohammad Khoveyni
Hadi Bagherzadeh Valami
Robabeh Eslami
author_sort Hoda Golshani
title A slack-based super efficiency in a two-stage network structure with intermediate measures
title_short A slack-based super efficiency in a two-stage network structure with intermediate measures
title_full A slack-based super efficiency in a two-stage network structure with intermediate measures
title_fullStr A slack-based super efficiency in a two-stage network structure with intermediate measures
title_full_unstemmed A slack-based super efficiency in a two-stage network structure with intermediate measures
title_sort slack-based super efficiency in a two-stage network structure with intermediate measures
publisher Elsevier
series Alexandria Engineering Journal
issn 1110-0168
publishDate 2019-03-01
description One of the main challenging issues in the conventional data envelopment analysis (DEA) is ranking efficient decision-making units (DMUs) when more than one DMU have the efficiency score equal to one. It must be mentioned that most of the DMUs have internal structures. In this regard, in order to measure the efficiency score of these DMUs, network DEA methods are applied. Most researches are focused on assessing the efficiency of these DMUs and just like the classic DEA, several DMUs are efficient. To identify the sources and estimate the amount of inefficiencies in DMUs with network structure and overcome some shortcomings in the previous ranking models, in this paper, a slack-based network model of super efficiency, considering the optimal value of intermediate measures in the objective function and right handset for ranking overall efficient DMUs, are suggested to have more accurate and comprehensive ranking DMUs with internal structures. Finally, two numerical and empirical examples are provided to verify the discriminative power of the proposed model. Keywords: Data envelopment analysis (DEA), Network DEA (NDEA), Slack-based measure, Super efficiency, Ranking
url http://www.sciencedirect.com/science/article/pii/S111001681930002X
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