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    • Continuous models combining slacks-based measures of efficiency and super-efficiency
    Authors: Vicente J., Bolós; Rafael, Benítez; Vicente, Coll-Serrano;  Advisor: -;  Co-Author: - (2023)

    In the framework of data envelopment analysis (DEA), Tone (Eur J Oper Res 130(3):498–509, 2001) introduced the slacks-based measure (SBM) of efficiency, which is a nonradial model that incorporates all the slacks of the evaluated decision-making units (DMUs) into their efficiency scores, unlike classical radial efficiency models. Next, Tone (Eur J Oper Res 143(1):32–41, 2002) developed the SBM super-efficiency model in order to differentiate and rank efficient DMUs, whose SBM efficiency scores are always 1.
    • Exact and stochastic methods for robustness analysis in the context of Imprecise Data Envelopment Analysis
    Authors: Anna, Labijak-Kowalska; Miłosz, Kadziński;  Advisor: -;  Co-Author: - (2023)

    We consider the problem of measuring the efficiency of decision-making units with a ratio-based model. In this perspective, we introduce a framework for robustness analysis that admits both interval and ordinal performances on inputs and outputs. The proposed methodology exploits the uncertainty related to the imprecise data and all feasible input/output weight vectors delimited through linear constraints. We offer methods for verifying the robustness of three types of outcomes: efficiency scores, efficiency preference relations, and efficiency ranks. On the one hand, we formulate mathematical programming models to compute the extreme, necessary, and possible results. On the other hand, we incorporate the stochastic analysis driven by the Monte Carlo simulations to derive the probab...