Abstract: According to the situation that the distribution of activity parameters is uncertain in the research of random network, this paper presents the GERT network model based on uncertain information, using the signal flow graph principle to study the simulation algorithm of GERT network based on uncertain irr formation, and studies the construction of moment generating funotion in the GERT network with uncer twin variables.Its fundamental properties are also discussed in detail. Finally, a simulation example is given to illustrate that the GERT network model based on uncertain information and the simulation algorithm can effectively solve the influence of uncertain information for GERT network parameters in daily life. It shows that the model and algorithm are correct and feasible.

Key words: uncertain theory, GERT network, multiple uncertain information, uncertain variables