Finding common weights in DEA using a compromise solution approach
الموضوعات : International Journal of Data Envelopment AnalysisMasomeh Abbasi 1 , Abbas Ghomashi 2 , Saeed Shahghobadi 3
1 - Department of mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
2 - Department of mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
3 - Department of Mathematics, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
الکلمات المفتاحية: Ranking, Data Envelopment Analysis, Common weights,
ملخص المقالة :
The weights generated by the common weights approach provide a common criterion for ranking the decision-making units (DMUs) in data envelopment analysis (DEA). Existing common weights models in DEA are either very complicated or unable to produce a full ranking for DMUs. This paper proposes a new compromise solution model to seek a common set of weights for full ranking for DMUs. The maximum inefficiency scores calculated from the standard DEA model are regarded as the anti-ideal solution for the DMUs to avoid. A common set of weights that produces the vector of inefficiency scores for the DMUs furthest to the anti-ideal solution is sought. The discrimination power of the new model is tested using two numerical examples and its potential application for fully ranking DMUs is illustrated.
