A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA
We propose a procedure for ranking decision making units in data envelopment analysis, based on ideal and anti-ideal points in the production possibility set. Moreover, a model has been introduced to compute the performance of a decision making unit for these two points through using common set of w...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/282939 |
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| author | A. Barzegarinegad G. Jahanshahloo M. Rostamy-Malkhalifeh |
| author_facet | A. Barzegarinegad G. Jahanshahloo M. Rostamy-Malkhalifeh |
| author_sort | A. Barzegarinegad |
| collection | DOAJ |
| description | We propose a procedure for ranking decision making units in data envelopment analysis, based on ideal and anti-ideal points in the production possibility set. Moreover, a model has been introduced to compute the performance of a decision making unit for these two points through using common set of weights. One of the best privileges of this method is that we can make ranking for all decision making units by solving only three programs, and also solving these programs is not related to numbers of decision making units. One of the other advantages of this procedure is to rank all the extreme and nonextreme efficient decision making units. In other words, the suggested ranking method tends to seek a set of common weights for all units to make them fully ranked. Finally, it was applied for different sets holding real data, and then it can be compared with other procedures. |
| format | Article |
| id | doaj-art-b4f4e2758cc74dc8bae7267df7fdfeb3 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-b4f4e2758cc74dc8bae7267df7fdfeb32025-08-20T03:39:22ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/282939282939A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEAA. Barzegarinegad0G. Jahanshahloo1M. Rostamy-Malkhalifeh2Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranWe propose a procedure for ranking decision making units in data envelopment analysis, based on ideal and anti-ideal points in the production possibility set. Moreover, a model has been introduced to compute the performance of a decision making unit for these two points through using common set of weights. One of the best privileges of this method is that we can make ranking for all decision making units by solving only three programs, and also solving these programs is not related to numbers of decision making units. One of the other advantages of this procedure is to rank all the extreme and nonextreme efficient decision making units. In other words, the suggested ranking method tends to seek a set of common weights for all units to make them fully ranked. Finally, it was applied for different sets holding real data, and then it can be compared with other procedures.http://dx.doi.org/10.1155/2014/282939 |
| spellingShingle | A. Barzegarinegad G. Jahanshahloo M. Rostamy-Malkhalifeh A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA The Scientific World Journal |
| title | A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA |
| title_full | A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA |
| title_fullStr | A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA |
| title_full_unstemmed | A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA |
| title_short | A Full Ranking for Decision Making Units Using Ideal and Anti-Ideal Points in DEA |
| title_sort | full ranking for decision making units using ideal and anti ideal points in dea |
| url | http://dx.doi.org/10.1155/2014/282939 |
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