Data envelopment analysis(DEA)is a technique to measure the performance of decision-making units(DMUs).Conventional DEA treats DMUs as black boxes and the internal structure of DMUs is ignored.Two-stage DEA models are...Data envelopment analysis(DEA)is a technique to measure the performance of decision-making units(DMUs).Conventional DEA treats DMUs as black boxes and the internal structure of DMUs is ignored.Two-stage DEA models are special case network DEA models that explore the internal structures of DMUs.Most often,one output cannot be produced by certain input data and/or the data may be expressed as ratio output/input.In these cases,traditional two-stage DEA models can no longer be used.To deal with these situations,we applied DEA-Ratio(DEA-R)to evaluate two-stage DMUs instead of traditional DEA.To this end,we developed two novel DEA-R models,namely,range directional DEA-R(RDD-R)and(weighted)Tchebycheff norm DEA-R(TND-R).The validity and reliability of our proposed approaches are shown by some examples.The Taiwan Residents non-life insurance companies are revisited using these proposed approaches and the results from the proposed methods are compared with those from some other methods.展开更多
文摘Data envelopment analysis(DEA)is a technique to measure the performance of decision-making units(DMUs).Conventional DEA treats DMUs as black boxes and the internal structure of DMUs is ignored.Two-stage DEA models are special case network DEA models that explore the internal structures of DMUs.Most often,one output cannot be produced by certain input data and/or the data may be expressed as ratio output/input.In these cases,traditional two-stage DEA models can no longer be used.To deal with these situations,we applied DEA-Ratio(DEA-R)to evaluate two-stage DMUs instead of traditional DEA.To this end,we developed two novel DEA-R models,namely,range directional DEA-R(RDD-R)and(weighted)Tchebycheff norm DEA-R(TND-R).The validity and reliability of our proposed approaches are shown by some examples.The Taiwan Residents non-life insurance companies are revisited using these proposed approaches and the results from the proposed methods are compared with those from some other methods.
