Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs

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Pourmahmoud Jafar; Radfar Samaneh

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Journal Paper

Paper Information

Journal: Journal of Mathematical Modeling Year:2025 | Volume:13 | Issue:3 Page(s): 685-704

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Title

Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs

Author(s)

Pourmahmoud Jafar | Radfar Samaneh | Issue Writer Certificate

Keywords

decision-making units

Data envelopment analysis

Efficiency

Weak disposability

Minimum undesirable outputs

Abstract

This study evaluates decision-making units (DMUs) that produce unavoidable undesirable outputs, which negatively affect performance. Previous studies by researchers have explored approaches for calculating the Minimum undesirable outputs, presenting the abatement range for undesirable outputs and assessing DMU Efficiency, yet challenges remain. To address this, we introduce a new method based on the directional distance function model with individual-proportion Weak disposability. The proposed method calculates the minimum unavoidable undesirable outputs, evaluates DMU efficiency for both undesirable and Minimum undesirable outputs, separates the effects of desirable and undesirable outputs on inefficiency, and resolves the limitations of earlier methods. Finally, the proposed method is applied to practical examples to demonstrate its superiority over existing approaches.

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