A slacks-based nonlinear DEA model with integer data : an application to departments of the Islamic Azad University, Karaj Branch in Iran

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Titel: A slacks-based nonlinear DEA model with integer data : an application to departments of the Islamic Azad University, Karaj Branch in Iran
Autoren: Moazenzadeh, Zahra, Saati, Saber, Saen, Reza Farzipoor, Matin, Reza Kazemi, Sohraee, Sevan
Schlagwörter: data envelopment analysis, non-radial model, integer-valued data, slack based measure
Beschreibung: Although Data Envelopment Analysis (DEA) assumes that inputs and outputs take non-negative real values, in some realworld cases, data are integer-valued. In some situations, rounding a fractional value to the closest integer can lead to a misleading evaluation of efficiency and in some cases may lead to an infeasible projection point. To date, various radial and non-radial models have been presented. This paper proposes a slacks-based non-linear model that guarantees an integer-valued reference point for all integer targets. Also, the reference point of each target is feasible under the proposed model. The lack of a need to round answers to the closest whole value is an advantage of this method. In addition, the results of this model are compared with other models. An example is used to clarify the suggested method.
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Publikationsart: Article
Sprache: eng
Zugangs-URL: http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-4ee4513a-d591-45e4-9aab-68ece3f6c8e4
Dokumentencode: edsbzt.bwmeta1.element.baztech.4ee4513a.d591.45e4.9aab.68ece3f6c8e4
Datenbank: BazTech
Beschreibung
Abstract:Although Data Envelopment Analysis (DEA) assumes that inputs and outputs take non-negative real values, in some realworld cases, data are integer-valued. In some situations, rounding a fractional value to the closest integer can lead to a misleading evaluation of efficiency and in some cases may lead to an infeasible projection point. To date, various radial and non-radial models have been presented. This paper proposes a slacks-based non-linear model that guarantees an integer-valued reference point for all integer targets. Also, the reference point of each target is feasible under the proposed model. The lack of a need to round answers to the closest whole value is an advantage of this method. In addition, the results of this model are compared with other models. An example is used to clarify the suggested method.<br />Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).