10.1007/s40096-021-00416-2

A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry

  • Hamidreza Babaie Asil1,
  • Reza Kazemi Matin*2,
  • Mohsen Khounsiavash1,
  • Zohreh Moghadas1,
  1. Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, IR
  2. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, IR

Published in Issue 2021-06-13

How to Cite

Babaie Asil, H., Kazemi Matin, R., Khounsiavash, M., & Moghadas, Z. (2021). A modified semi-oriented radial measure to deal with negative and stochastic data: an application in banking industry. Mathematical Sciences, 16(3 (September 2022). https://doi.org/10.1007/s40096-021-00416-2
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Abstract

Abstract In most standard data envelopment analysis (DEA) models, data are deterministic. However, real-world applications are subject to stochastic data as production costs, which depend on many factors such as environmental and social elements. So, this shortcoming requires the generalization of DEA models to stochastic data. Also, the standard DEA models are often used for positive inputs and outputs, while in many real-world situations, inputs or outputs may take negative values. This article is intended to extend the semi-oriented radial measure model for dealing with negative and stochastic data in the DEA framework. Some new chance-constrained optimization models and their deterministic equivalent models are introduced to evaluate the production units. Besides, some numerical examples, including an empirical application on 61 bank branches, were used to evaluate the proposed approach.

Keywords

  • Data envelopment analysis,
  • Efficiency,
  • Negative data,
  • Stochastic data

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