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A Unified Mathematical Model for Stochastic Data Envelopment Analysis

Author

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  • Basma E. El-Demerdash

    (Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt)

  • Assem A. Tharwat

    (College of Business Administration, American University in the Emirates, UAE)

  • Ihab A. A. El-Khodary

    (Faculty of Computers and Artificial Intelligence, Cairo University, Egypt)

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.

Suggested Citation

  • Basma E. El-Demerdash & Assem A. Tharwat & Ihab A. A. El-Khodary, 2021. "A Unified Mathematical Model for Stochastic Data Envelopment Analysis," International Journal of Service Science, Management, Engineering, and Technology (IJSSMET), IGI Global, vol. 12(1), pages 127-141, January.
    • Handle: RePEc:igg:jssmet:v:12:y:2021:i:1:p:127-141
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