Efficiency decomposition in three-stage data envelopment analysis with undesirable and returnable factors

Abstract

Purpose

The purpose of this paper is to evaluate the efficiency of a series network system with undesirable and unreturnable simultaneously.

Design/methodology/approach

The research was conducted by applying data envelopment analysis (DEA) approach to measure the efficiency score of a system and substages with an undesirable output of the second and third stages separately. For each case, new production technology was introduced, and based on them, novel DEA models were proposed.

Findings

One of the most important issues in the development of a country is the banking industry. In this study, 51 branches of commercial banks as a three-stage system with undesirable and unreturnable outputs in the second stage are considered. Then, the efficiency of each branch and substages is measured by using proposed models.

Originality/value

The efficiency of a three-stage network in the presence of undesirable and unreturnable outputs was assessed. In this model, Kousmanen’s technology was used.

Citation

Malmir, M., Hosseinzadeh Lotfi, F., Kazemi Matin, R. and Ahadzadeh Namin, M. (2024), "Efficiency decomposition in three-stage data envelopment analysis with undesirable and returnable factors", Journal of Modelling in Management, Vol. 19 No. 5, pp. 1369-1403. https://doi.org/10.1108/JM2-05-2022-0129