Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale
Evaluating efficiency according to the different states of returns to scale (RTS) is crucial to resource allocation and scientific decision for decision-making units (DMUs), but this kind of evaluation will become very difficult when the DMUs are in an uncertain random environment. In this paper, we...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/6630317 |
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| _version_ | 1832555234497396736 |
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| author | Bao Jiang Shuang Feng Jinwu Gao Jian Li |
| author_facet | Bao Jiang Shuang Feng Jinwu Gao Jian Li |
| author_sort | Bao Jiang |
| collection | DOAJ |
| description | Evaluating efficiency according to the different states of returns to scale (RTS) is crucial to resource allocation and scientific decision for decision-making units (DMUs), but this kind of evaluation will become very difficult when the DMUs are in an uncertain random environment. In this paper, we attempt to explore the uncertain random data envelopment analysis approach so as to solve the problem that the inputs and outputs of DMUs are uncertain random variables. Chance theory is applied to handling the uncertain random variables, and hence, two evaluating models, one for increasing returns to scale (IRS) and the other for decreasing returns to scale (DRS), are proposed, respectively. Along with converting the two uncertain random models into corresponding equivalent forms, we also provide a numerical example to illustrate the evaluation results of these models. |
| format | Article |
| id | doaj-art-1fc92951737743e3ae45c2f6ccccf11f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-1fc92951737743e3ae45c2f6ccccf11f2025-02-03T05:49:17ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/66303176630317Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to ScaleBao Jiang0Shuang Feng1Jinwu Gao2Jian Li3Department of International Trade and Economy, Ocean University of China, Qingdao 266100, ChinaDepartment of International Trade and Economy, Ocean University of China, Qingdao 266100, ChinaDepartment of International Trade and Economy, Ocean University of China, Qingdao 266100, ChinaDepartment of International Trade and Economy, Ocean University of China, Qingdao 266100, ChinaEvaluating efficiency according to the different states of returns to scale (RTS) is crucial to resource allocation and scientific decision for decision-making units (DMUs), but this kind of evaluation will become very difficult when the DMUs are in an uncertain random environment. In this paper, we attempt to explore the uncertain random data envelopment analysis approach so as to solve the problem that the inputs and outputs of DMUs are uncertain random variables. Chance theory is applied to handling the uncertain random variables, and hence, two evaluating models, one for increasing returns to scale (IRS) and the other for decreasing returns to scale (DRS), are proposed, respectively. Along with converting the two uncertain random models into corresponding equivalent forms, we also provide a numerical example to illustrate the evaluation results of these models.http://dx.doi.org/10.1155/2021/6630317 |
| spellingShingle | Bao Jiang Shuang Feng Jinwu Gao Jian Li Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale Advances in Mathematical Physics |
| title | Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale |
| title_full | Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale |
| title_fullStr | Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale |
| title_full_unstemmed | Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale |
| title_short | Uncertain Random Data Envelopment Analysis: Efficiency Estimation of Returns to Scale |
| title_sort | uncertain random data envelopment analysis efficiency estimation of returns to scale |
| url | http://dx.doi.org/10.1155/2021/6630317 |
| work_keys_str_mv | AT baojiang uncertainrandomdataenvelopmentanalysisefficiencyestimationofreturnstoscale AT shuangfeng uncertainrandomdataenvelopmentanalysisefficiencyestimationofreturnstoscale AT jinwugao uncertainrandomdataenvelopmentanalysisefficiencyestimationofreturnstoscale AT jianli uncertainrandomdataenvelopmentanalysisefficiencyestimationofreturnstoscale |