Controlling Desirable Outputs and Pollutants Using a Multi-Objective Function in an Inverse-DEA Model
Subject Areas : International Journal of Data Envelopment Analysis
1 - گروه ریاضی، واحد گرگان، دانشگاه آزاد اسلامی، گرگان ، ایران
Keywords: Data Envelopment analysis, Undesirable outputs, Invers DEA. ,
Abstract :
Inverse Data Envelopment Analysis (DEA) is a mathematical technique for assessing relative efficiencies of homogeneous decision-making units (DMUs) based on multiple inputs to multiple outputs. Inverse DEA is an emerging theoretical and methodological technique continuously evolving and substantially impacting operations research, economics, and efficiency analyses. It has emerged as a valuable post-DEA sensitivity analysis approach for resource allocation and efficiency optimization. In this article, the Slacks-Based Measure (SBM) DEA model has been developed to address limitations in traditional DEA models, particularly in evaluating environmental efficiency and undesirable outputs in various applications, including environmental policy analysis and performance assessment of organizations. In the first objective, the issue of minimizing the increase in inputs is addressed while also taking into account the minimum increase in undesirable output. Hence, the models previously presented in this article attempt to control the increase of inputs and possibly reduce them by considering a multi-objective function.
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