Merging of units based on inverse data envelopment analysis
Inverse data envelopment analysis (InvDEA) is a remarkable and popular management tool. This paper deals with one application of this tool. In fact, the problem of the combination of the units is investigated in the presence of negative data. The problem of combining units refers to the fact that a...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2023-11-01
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| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3696_f47603e76631a48dd76e86bb70ae090b.pdf |
| _version_ | 1827347321756581888 |
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| author | Saeid Ghobadi Khosro Soleimani-Chamkhorami |
| author_facet | Saeid Ghobadi Khosro Soleimani-Chamkhorami |
| author_sort | Saeid Ghobadi |
| collection | DOAJ |
| description | Inverse data envelopment analysis (InvDEA) is a remarkable and popular management tool. This paper deals with one application of this tool. In fact, the problem of the combination of the units is investigated in the presence of negative data. The problem of combining units refers to the fact that a set of units create a new unit based on synergy to improve their performance. We use multiple objective programming for this purpose and suggest new models based on predetermined conditions for the new unit. The proposed models estimate inputs and outputs simultaneously. Importance advantages of the proposed models are i) We can follow multiple goals in the problem of combining units because multiple objective programming is applied. ii) Models can simultaneously estimate the inputs and outputs of the combined unit. iii) Unlike the existing methods in the InvDEA-based merging literature, the negative data do not need to be transferred to positive data. Finally, a numerical example is used to explain and validate the model proposed in this paper. |
| first_indexed | 2024-03-07T23:47:54Z |
| format | Article |
| id | doaj.art-206c72363c6c45b69cab67f7f90b443f |
| institution | Directory Open Access Journal |
| issn | 2251-7952 2645-4505 |
| language | English |
| last_indexed | 2024-03-07T23:47:54Z |
| publishDate | 2023-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj.art-206c72363c6c45b69cab67f7f90b443f2024-02-19T09:29:20ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052023-11-01131455910.22103/jmmr.2023.20302.13433696Merging of units based on inverse data envelopment analysisSaeid Ghobadi0Khosro Soleimani-Chamkhorami1Department of Mathematics, Khomeinishar branch, Islamic Azad University, Isfahan, Iran.Department of Mathematics, Najafabad branch, Islamic Azad University, Najafabad, Iran.Inverse data envelopment analysis (InvDEA) is a remarkable and popular management tool. This paper deals with one application of this tool. In fact, the problem of the combination of the units is investigated in the presence of negative data. The problem of combining units refers to the fact that a set of units create a new unit based on synergy to improve their performance. We use multiple objective programming for this purpose and suggest new models based on predetermined conditions for the new unit. The proposed models estimate inputs and outputs simultaneously. Importance advantages of the proposed models are i) We can follow multiple goals in the problem of combining units because multiple objective programming is applied. ii) Models can simultaneously estimate the inputs and outputs of the combined unit. iii) Unlike the existing methods in the InvDEA-based merging literature, the negative data do not need to be transferred to positive data. Finally, a numerical example is used to explain and validate the model proposed in this paper.https://jmmrc.uk.ac.ir/article_3696_f47603e76631a48dd76e86bb70ae090b.pdfinverse data envelopment analysis (dea)mergingefficiencymultiple-objective programming (mop)negative data |
| spellingShingle | Saeid Ghobadi Khosro Soleimani-Chamkhorami Merging of units based on inverse data envelopment analysis Journal of Mahani Mathematical Research inverse data envelopment analysis (dea) merging efficiency multiple-objective programming (mop) negative data |
| title | Merging of units based on inverse data envelopment analysis |
| title_full | Merging of units based on inverse data envelopment analysis |
| title_fullStr | Merging of units based on inverse data envelopment analysis |
| title_full_unstemmed | Merging of units based on inverse data envelopment analysis |
| title_short | Merging of units based on inverse data envelopment analysis |
| title_sort | merging of units based on inverse data envelopment analysis |
| topic | inverse data envelopment analysis (dea) merging efficiency multiple-objective programming (mop) negative data |
| url | https://jmmrc.uk.ac.ir/article_3696_f47603e76631a48dd76e86bb70ae090b.pdf |
| work_keys_str_mv | AT saeidghobadi mergingofunitsbasedoninversedataenvelopmentanalysis AT khosrosoleimanichamkhorami mergingofunitsbasedoninversedataenvelopmentanalysis |