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Title: Developing a multi-period production system for efficiency analysis based on DEA-R

Authors: Mahsa Torkavannejad; Behrouz Daneshian; Ghasem Tohidi; Mahnaz Maghbouli; Farzin Modarres Khiyabani

Addresses: Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran ' Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran ' Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran ' Department of Mathematics, Aras Branch, Islamic Azad University, Jolfa, Iran ' Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

Abstract: This study addresses ratio data envelopment analysis (DEA-R) models to measure efficiencies of units in a time span covering multi-periods by considering operations of individual periods. In particular, overall and periodic efficiencies can be evaluated simultaneously. The overall efficiency of the proposed model depends on performance of DMUs in all periods. Notably, the proposed model has three main features. First it can identify the pseudo-inefficiency. Second, the proposed overall efficiency measure is depended on all periods. Third, the proposed method is endowed with a high discriminatory power in differentiating the units as efficient and inefficient ones. To expand the present study, a comparison was made between the existing model in the literature and the proposed DEA-R model and efficiency of 22 Taiwanese commercial banks was measured for a period from 2009 to 2011. The three-year results show that overall score of efficiency in the proposed multi-period DEA-R model is greater than or equal to total efficiency of the existing multi-period model.

Keywords: ratio data envelopment analysis; DEA-R; multi-periodic production process; overall efficiency; pseudo-inefficiency.

DOI: 10.1504/IJPQM.2024.136196

International Journal of Productivity and Quality Management, 2024 Vol.41 No.1, pp.89 - 109

Received: 04 Sep 2021
Accepted: 05 Feb 2022

Published online: 22 Jan 2024 *

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