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Sensitivity and stability in stochastic data envelopment analysis

Author

Listed:
  • R D Banker

    (Temple University, Philadelphia, PA, USA)

  • K Kotarac

    (University of Zagreb, Zagreb, Croatia)

  • L Neralić

    (University of Zagreb, Zagreb, Croatia)

Abstract

Sensitivity and stability for Banker's model of Stochastic Data Envelopment Analysis (SDEA) is studied in this paper. In the case of the DEA model, necessary and sufficient conditions to preserve the efficiency of efficient decision-making units (DMUs) and the inefficiency of inefficient DMUs are obtained for different perturbations of data in the model. The cases of perturbations of all inputs, of perturbations of output and of the simultaneous perturbations of output and all inputs are considered. An illustrative example is provided.

Suggested Citation

  • R D Banker & K Kotarac & L Neralić, 2015. "Sensitivity and stability in stochastic data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(1), pages 134-147, January.
    • Handle: RePEc:pal:jorsoc:v:66:y:2015:i:1:p:134-147
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    Cited by:

    1. Banker, Rajiv & Natarajan, Ram & Zhang, Daqun, 2019. "Two-stage estimation of the impact of contextual variables in stochastic frontier production function models using Data Envelopment Analysis: Second stage OLS versus bootstrap approaches," European Journal of Operational Research, Elsevier, vol. 278(2), pages 368-384.
    2. Thanh Ngo & Kan Wai Hong Tsui, 2022. "Estimating the confidence intervals for DEA efficiency scores of Asia-Pacific airlines," Operational Research, Springer, vol. 22(4), pages 3411-3434, September.
    3. Olesen, Ole B. & Petersen, Niels Christian, 2016. "Stochastic Data Envelopment Analysis—A review," European Journal of Operational Research, Elsevier, vol. 251(1), pages 2-21.

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