Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model
In this paper, we present an Additive Slacks-Based Measure (ASBM) model for measuring efficiency Decision-Making Unit (DMU) in the presence of undesirable outputs based on DEA Ratio based (DEA-R) model. In order to obtain a reasonable measure of efficiency, this paper proposes a concept for determin...
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REA Press
2021-03-01
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| Series: | Big Data and Computing Visions |
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| Online Access: | https://www.bidacv.com/article_142082_3920dd580f2dafe7e293f73a5c84ac93.pdf |
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| author | Javad Gerami Mohammad Reza Mozaffari |
| author_facet | Javad Gerami Mohammad Reza Mozaffari |
| author_sort | Javad Gerami |
| collection | DOAJ |
| description | In this paper, we present an Additive Slacks-Based Measure (ASBM) model for measuring efficiency Decision-Making Unit (DMU) in the presence of undesirable outputs based on DEA Ratio based (DEA-R) model. In order to obtain a reasonable measure of efficiency, this paper proposes a concept for determining the minimum number of undesirable outputs that a DMU is allowed to generate based on the assertion of weak disposability. We show theeffect of producing excessive amounts of undesirable outputs on efficiency. We propose an alternative form of the ASBM model to measure efficiency based on DEA-R models. In the first stage, we introduce counterpart (hypothetic) units corresponding to each DMUs. We obtain the true efficiency scores and slack variables regarding the input and output components of each of the DMUs. In the second stage, we obtain the efficiency scores in the presence of undesirable outputs based on ASBM-DEA-R model. In the following, we illustrate the proposed approach with a numerical example. At the end, the results of the research are given. |
| format | Article |
| id | doaj-art-b3ca6111e66a4b3f80525ff2b55666af |
| institution | Kabale University |
| issn | 2783-4956 2821-014X |
| language | English |
| publishDate | 2021-03-01 |
| publisher | REA Press |
| record_format | Article |
| series | Big Data and Computing Visions |
| spelling | doaj-art-b3ca6111e66a4b3f80525ff2b55666af2025-01-30T12:21:07ZengREA PressBig Data and Computing Visions2783-49562821-014X2021-03-0111152310.22105/bdcv.2021.142082142082Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R modelJavad Gerami0Mohammad Reza Mozaffari1Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.In this paper, we present an Additive Slacks-Based Measure (ASBM) model for measuring efficiency Decision-Making Unit (DMU) in the presence of undesirable outputs based on DEA Ratio based (DEA-R) model. In order to obtain a reasonable measure of efficiency, this paper proposes a concept for determining the minimum number of undesirable outputs that a DMU is allowed to generate based on the assertion of weak disposability. We show theeffect of producing excessive amounts of undesirable outputs on efficiency. We propose an alternative form of the ASBM model to measure efficiency based on DEA-R models. In the first stage, we introduce counterpart (hypothetic) units corresponding to each DMUs. We obtain the true efficiency scores and slack variables regarding the input and output components of each of the DMUs. In the second stage, we obtain the efficiency scores in the presence of undesirable outputs based on ASBM-DEA-R model. In the following, we illustrate the proposed approach with a numerical example. At the end, the results of the research are given.https://www.bidacv.com/article_142082_3920dd580f2dafe7e293f73a5c84ac93.pdfdata envelopment analysisdea-rratio dataundesirable outputefficiencynon-radial deaasbm |
| spellingShingle | Javad Gerami Mohammad Reza Mozaffari Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model Big Data and Computing Visions data envelopment analysis dea-r ratio data undesirable output efficiency non-radial dea asbm |
| title | Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model |
| title_full | Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model |
| title_fullStr | Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model |
| title_full_unstemmed | Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model |
| title_short | Additive slacks-based measure of efficiency for dealing with undesirable outputs based on DEA-R model |
| title_sort | additive slacks based measure of efficiency for dealing with undesirable outputs based on dea r model |
| topic | data envelopment analysis dea-r ratio data undesirable output efficiency non-radial dea asbm |
| url | https://www.bidacv.com/article_142082_3920dd580f2dafe7e293f73a5c84ac93.pdf |
| work_keys_str_mv | AT javadgerami additiveslacksbasedmeasureofefficiencyfordealingwithundesirableoutputsbasedondearmodel AT mohammadrezamozaffari additiveslacksbasedmeasureofefficiencyfordealingwithundesirableoutputsbasedondearmodel |