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A Unified Mathematical Model for Stochastic Data Envelopment Analysis

A Unified Mathematical Model for Stochastic Data Envelopment Analysis

Basma E. El-Demerdash, Assem A. Tharwat, Ihab A. A. El-Khodary
Copyright: © 2021 |Volume: 12 |Issue: 1 |Pages: 15
ISSN: 1947-959X|EISSN: 1947-9603|EISBN13: 9781799860907|DOI: 10.4018/IJSSMET.2021010108
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MLA

El-Demerdash, Basma E., et al. "A Unified Mathematical Model for Stochastic Data Envelopment Analysis." IJSSMET vol.12, no.1 2021: pp.127-141. http://doi.org/10.4018/IJSSMET.2021010108

APA

El-Demerdash, B. E., Tharwat, A. A., & El-Khodary, I. A. (2021). A Unified Mathematical Model for Stochastic Data Envelopment Analysis. International Journal of Service Science, Management, Engineering, and Technology (IJSSMET), 12(1), 127-141. http://doi.org/10.4018/IJSSMET.2021010108

Chicago

El-Demerdash, Basma E., Assem A. Tharwat, and Ihab A. A. El-Khodary. "A Unified Mathematical Model for Stochastic Data Envelopment Analysis," International Journal of Service Science, Management, Engineering, and Technology (IJSSMET) 12, no.1: 127-141. http://doi.org/10.4018/IJSSMET.2021010108

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Abstract

Efficiency measurement is one aspect of organizational performance that managers are usually interested in determining. Data envelopment analysis (DEA) is a powerful quantitative tool that provides a means to obtain useful information about the efficiency and performance of organizations and all sorts of functionally similar, relatively autonomous operating units. DEA models are either with a constant rate of return (CRS) or variable return to scale (VRS). Furthermore, the models could be input-oriented or output-oriented. In many real-life applications, observations are usually random in nature; as a result, DEA efficiency measurement may be sensitive to such variations. The purpose of this study was to develop a unified stochastic DEA model that handles different natures of variables independently (random and deterministic) and can be adapted to model both input/output-oriented problems, whether it is CRS or VRS. The chance-constrained approach was adopted to handle the stochastic variables that exist in the model. The developed model is implemented through an illustrative example.

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