指标加权数据包络分析模型的研究及应用

Research and Application of the Index Weighted DEA Models

建立了指标加权数据包络分析(DEA)模型,证明了C2 R有效与BC2有效、DEA有效与指标加权DEA有效的关系,给出了求解指标加权DEA模型的步骤,并通过实例验证了加权DEA模型的合理性.指标加权DEA模型既可以解决利用C2 R模型或BC2模型评价具有多输入和多输出指标的系统时造成有效单元过多的问题,也能够解决在评价过程中不能兼顾各评价指标重要性的问题.

The index weighted DEA model has been established.The relationship between C2 R model effectiveness and BC2 model effectiveness,and the relationship between DEA model effectiveness and the index weighted DEA model effectiveness are proved.Steps to solve the index weighted DEA model and an example to verify the rationality of the index weighted DEA model were then given.The index weighted DEA model can not only solve problems that involved with too many effective units when we use the C2 R model or BC2 model to evaluate the system with multi input and multi output indexes,but also is able to take into account the importance of each evaluation index in the evaluation process.