Title: A new model for efficiency estimation and evaluation: DEA-RA-inverted DEA model

Authors: Bingjiang Zhang; Shilan Su; Qizhou Gong

Addresses: School of Applied Science, Beijing Information Science and Technology University, 100096, Beijing, China ' School of Mathematics and Computer Science, Shaanxi University of Technology, Hanzhong, 723001, Shaanxi, China; School of Journalism and Communication, Beijing Normal University, 100875, Beijing, China ' School of Applied Science, Beijing Information Science and Technology University, 100096, Beijing, China

Abstract: Data envelopment analysis (DEA) is widely used in various fields and for various models. Inverted data envelopment analysis (inverted DEA) is an extended model of DEA. Regression analysis (RA) is a statistical process for estimating the relationships among variables based on the model of averaged image. There are no essential relations among DEA and RA and inverted DEA. We creatively combine DEA, RA and inverted DEA to propose a new model: DEA-RA-Inverted DEA model. The model realises the efficiency estimation and evaluation through a discussion of the residual variables and the residual ratio coefficients. In addition, we will demonstrate the effectiveness of the model by applying it to efficiency estimation and evaluation of 16 Chinese logistics enterprises.

Keywords: data envelopment analysis; DEA; inverted data envelopment analysis; inverted DEA; regression analysis; efficiency evaluation; sample decision unit; preference cone.

DOI: 10.1504/IJADS.2024.141827

International Journal of Applied Decision Sciences, 2024 Vol.17 No.6, pp.733 - 748

Received: 17 Feb 2023
Accepted: 15 Mar 2023
Published online: 02 Oct 2024 *

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