Second-order conic programming for data envelopment analysis models
Data envelopment analysis (DEA) is a widely used benchmarking technique. Its strength stems from the fact that it can include several inputs and outputs of not necessarily the same type to evaluate efficiency scores. Indeed, the aforesaid method is based on mathematical optimization. This paper cons...
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| المؤلف الرئيسي: | |
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| منشور في: |
2022
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://bspace.buid.ac.ae/handle/1234/3088 https://doi.org/10.21533/pen.v10i2.2992. |
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| _version_ | 1862980612404543488 |
|---|---|
| author | Mourad, Nahia |
| author_facet | Mourad, Nahia |
| author_role | author |
| dc.creator.none.fl_str_mv | Mourad, Nahia |
| dc.date.none.fl_str_mv | 2022-04-01 2025-05-21T16:38:03Z 2025-05-21T16:38:03Z |
| dc.identifier.none.fl_str_mv | Mourad, N. (2022) “Second-order conic programming for data envelopment analysis models,” Periodicals of Engineering and Natural Sciences (PEN), 10(2), p. 487. 2303-4521 2303-4521 https://bspace.buid.ac.ae/handle/1234/3088 https://doi.org/10.21533/pen.v10i2.2992. |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | Springer |
| dc.relation.none.fl_str_mv | Periodicals of Engineering and Natural Sciences (PEN)v10 n2 (20220505): 487 |
| dc.subject.none.fl_str_mv | Data envelopment analysis, Efficiency, Malmquist DEA, Stochastic DEA, MATLAB functions, Numerical simulations, Mathematical models |
| dc.title.none.fl_str_mv | Second-order conic programming for data envelopment analysis models |
| dc.type.none.fl_str_mv | Article |
| description | Data envelopment analysis (DEA) is a widely used benchmarking technique. Its strength stems from the fact that it can include several inputs and outputs of not necessarily the same type to evaluate efficiency scores. Indeed, the aforesaid method is based on mathematical optimization. This paper constructs a second-order conic optimization problem unifying several DEA models. Moreover, it presents an algorithm that solves the former problem, and provides a MATLAB function associated with it. As far as known, no MATLAB function solves DEA models. Among different types of DEA, this function can handle deterministic, Malmquist index, and stochastic models. In fact, DEA is involved in various practical applications, thus, this work will provide some possible future extensions, not only for MATLAB but also for any programming software in applications of decision science and efficiency analysis. |
| id | budr_8e3124d548f78d5804ae2a662f397d65 |
| identifier_str_mv | Mourad, N. (2022) “Second-order conic programming for data envelopment analysis models,” Periodicals of Engineering and Natural Sciences (PEN), 10(2), p. 487. 2303-4521 |
| language_invalid_str_mv | en_US |
| network_acronym_str | budr |
| network_name_str | The British University in Dubai repository |
| oai_identifier_str | oai:bspace.buid.ac.ae:1234/3088 |
| publishDate | 2022 |
| publisher.none.fl_str_mv | Springer |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Second-order conic programming for data envelopment analysis modelsMourad, NahiaData envelopment analysis, Efficiency, Malmquist DEA, Stochastic DEA, MATLAB functions, Numerical simulations, Mathematical modelsData envelopment analysis (DEA) is a widely used benchmarking technique. Its strength stems from the fact that it can include several inputs and outputs of not necessarily the same type to evaluate efficiency scores. Indeed, the aforesaid method is based on mathematical optimization. This paper constructs a second-order conic optimization problem unifying several DEA models. Moreover, it presents an algorithm that solves the former problem, and provides a MATLAB function associated with it. As far as known, no MATLAB function solves DEA models. Among different types of DEA, this function can handle deterministic, Malmquist index, and stochastic models. In fact, DEA is involved in various practical applications, thus, this work will provide some possible future extensions, not only for MATLAB but also for any programming software in applications of decision science and efficiency analysis.Springer2025-05-21T16:38:03Z2025-05-21T16:38:03Z2022-04-01ArticleMourad, N. (2022) “Second-order conic programming for data envelopment analysis models,” Periodicals of Engineering and Natural Sciences (PEN), 10(2), p. 487.2303-45212303-4521https://bspace.buid.ac.ae/handle/1234/3088https://doi.org/10.21533/pen.v10i2.2992.en_USPeriodicals of Engineering and Natural Sciences (PEN)v10 n2 (20220505): 487oai:bspace.buid.ac.ae:1234/30882026-01-29T13:56:58Z |
| spellingShingle | Second-order conic programming for data envelopment analysis models Mourad, Nahia Data envelopment analysis, Efficiency, Malmquist DEA, Stochastic DEA, MATLAB functions, Numerical simulations, Mathematical models |
| title | Second-order conic programming for data envelopment analysis models |
| title_full | Second-order conic programming for data envelopment analysis models |
| title_fullStr | Second-order conic programming for data envelopment analysis models |
| title_full_unstemmed | Second-order conic programming for data envelopment analysis models |
| title_short | Second-order conic programming for data envelopment analysis models |
| title_sort | Second-order conic programming for data envelopment analysis models |
| topic | Data envelopment analysis, Efficiency, Malmquist DEA, Stochastic DEA, MATLAB functions, Numerical simulations, Mathematical models |
| url | https://bspace.buid.ac.ae/handle/1234/3088 https://doi.org/10.21533/pen.v10i2.2992. |