Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
CC BY
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Định dạng: | Sách |
Ngôn ngữ: | English |
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Springer
2023
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Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s12351-023-00755-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/8486 |
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oai:localhost:PNK-84862023-05-23T02:40:29Z Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis Anna, Labijak-Kowalska Miłosz, Kadziński decision-making units ordinal performances CC BY We consider the problem of measuring the efficiency of decision-making units with a ratio-based model. In this perspective, we introduce a framework for robustness analysis that admits both interval and ordinal performances on inputs and outputs. The proposed methodology exploits the uncertainty related to the imprecise data and all feasible input/output weight vectors delimited through linear constraints. We offer methods for verifying the robustness of three types of outcomes: efficiency scores, efficiency preference relations, and efficiency ranks. On the one hand, we formulate mathematical programming models to compute the extreme, necessary, and possible results. On the other hand, we incorporate the stochastic analysis driven by the Monte Carlo simulations to derive the probability distribution of different outcomes. 2023-05-23T02:40:29Z 2023-05-23T02:40:29Z 2023 Book https://link.springer.com/article/10.1007/s12351-023-00755-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/8486 en application/pdf Springer |
institution |
Digital Phenikaa |
collection |
Digital Phenikaa |
language |
English |
topic |
decision-making units ordinal performances |
spellingShingle |
decision-making units ordinal performances Anna, Labijak-Kowalska Miłosz, Kadziński Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis |
description |
CC BY |
format |
Book |
author |
Anna, Labijak-Kowalska Miłosz, Kadziński |
author_facet |
Anna, Labijak-Kowalska Miłosz, Kadziński |
author_sort |
Anna, Labijak-Kowalska |
title |
Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis |
title_short |
Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis |
title_full |
Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis |
title_fullStr |
Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis |
title_full_unstemmed |
Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis |
title_sort |
exact and stochastic methods for robustness analysis in the context of imprecise data envelopment analysis |
publisher |
Springer |
publishDate |
2023 |
url |
https://link.springer.com/article/10.1007/s12351-023-00755-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/8486 |
_version_ |
1772331158785228800 |
score |
8.89252 |