Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA
This paper first introduces the allocative and profit efficiency in the presence of the negative data and then presents a new circular index to measure the productivity change of decision making units (DMUs) for the case that the dataset contains the inputs and/or outputs with the negative values in...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/276092 |
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| author | Ghasem Tohidi Shabnam Razavyan Simin Tohidnia |
| author_facet | Ghasem Tohidi Shabnam Razavyan Simin Tohidnia |
| author_sort | Ghasem Tohidi |
| collection | DOAJ |
| description | This paper first introduces the allocative and profit efficiency in the presence of the negative data and then presents a new circular index to measure the productivity change of decision making units (DMUs) for the case that the dataset contains the inputs and/or outputs with the negative values in data envelopment analysis (DEA). The proposed index is decomposed into four components in the two stages. The range directional model (RDM) and the proposed efficiencies are used to compute the proposed index and its components. The interpretations of the components are presented. Finally, a numerical example is organized to illustrate the proposed index and its components at three successive periods of time. |
| format | Article |
| id | doaj-art-1c1ec17450484958af3f7a680914bcff |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-1c1ec17450484958af3f7a680914bcff2025-02-03T01:31:29ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/276092276092Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEAGhasem Tohidi0Shabnam Razavyan1Simin Tohidnia2Department of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, IranDepartment of Mathematics, Islamic Azad University, South Tehran Branch, Tehran, IranDepartment of Mathematics, Islamic Azad University, Central Tehran Branch, Tehran, IranThis paper first introduces the allocative and profit efficiency in the presence of the negative data and then presents a new circular index to measure the productivity change of decision making units (DMUs) for the case that the dataset contains the inputs and/or outputs with the negative values in data envelopment analysis (DEA). The proposed index is decomposed into four components in the two stages. The range directional model (RDM) and the proposed efficiencies are used to compute the proposed index and its components. The interpretations of the components are presented. Finally, a numerical example is organized to illustrate the proposed index and its components at three successive periods of time.http://dx.doi.org/10.1155/2014/276092 |
| spellingShingle | Ghasem Tohidi Shabnam Razavyan Simin Tohidnia Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA Journal of Applied Mathematics |
| title | Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA |
| title_full | Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA |
| title_fullStr | Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA |
| title_full_unstemmed | Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA |
| title_short | Profit Malmquist Index and Its Global Form in the Presence of the Negative Data in DEA |
| title_sort | profit malmquist index and its global form in the presence of the negative data in dea |
| url | http://dx.doi.org/10.1155/2014/276092 |
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