Efficiency Theory of Generalized Network DEA Model

Considering that generalized data envelopment analysis(DEA) can not reflect the reciprocity of subsystems and its influence on system efficiency,we propose a generalized network DEA model.The correlative definition and theorem of the hybrid model are given.According to different parameters of generalized network DEA,the(weak) efficiency relationship of each kind of network DEA is obtained.This study indicates that the decision making unit(DMU) being generalized network DEA efficient is also generalized DEA efficient when the model doesn't consider the subsystems,and the subsystems of the DMU are all generalized DEA efficient synchronously.At the same time,the relationship between DEA optimal solution which doesn't involve the subsystems and Pareto solution of generalized multi-objective programming was proved.These results further enrich DEA efficient theory.