Efficiency evaluation of goal-congruent systems using a two-stage network SBM method
The network SBM model has the advantages of considering the internal structure of the system and not requiring proportional improvement of input or output.However,traditional network SBM models do not consider the internal intermediate products,or the improvement direction of their intermediate products is unclear when calculating efficiency,resulting in the model being unable to measure sub-stages'efficiency,and the contradiction between sub-stage improvement goals and overall goals.The article proposes a two-stage network SBM model with consistent objectives,which optimizes the improvement direction of intermediate products,redefines the overall objective function and sub-stage objective functions,so that the sub-stage improvement goals are consistent with the overall improvement goals when improving the input and output level of decision making units,and the improvement process is more in line with the actual production situation.And the overall efficiency obtained by this model is equal to the product of sub-stage efficiency,avoiding the subjectivity and bias brought about by traditional weighted summation methods.Apply it to the measurement of innovation efficiency in China's high-tech industries.The empirical results indicate that the results of the SBM model with consistent objective are more reasonable compared to traditional models,and it provides a frontier projection to enable invalid decision making units to reach the DEA effective state.
efficiency evaluationdata envelopment analysisSBM modeltwo-stage DEA
NETL
NSTL
万方数据
