The effectiveness evaluation of GEO satellite communication constellation not only characterizes the communication capability of the constellation but also provides a basis for optimizing the constellation structure. Whether due to information poverty or the complexity of the system, the impact of uncertain information on the effectiveness evaluation needs to be considered to ensure the accuracy of the evaluation results. To address this issue, this paper develops a model for evaluating the GEO satellite communication constellation's effectiveness in the context of poor information. Firstly, it analyses the GEO satellite communication constellation plus system based on communication links with an in-depth analysis of the constellation structure. Secondly, an equivalent transfer function algorithm based on the characteristic function and transfer probability is proposed with the help of graphical evaluation and review technique. Then, by analyzing the communication link importance connotation, the algorithm formula of communication link effectiveness and its importance is derived, and the constellation effectiveness and variance are found. Finally, the model constructed in this paper is used to evaluate the effectiveness of a GEO satellite communication constellation, further verifying the accuracy and validity of the model. Through comparative analysis, it is shown that the model can not only solving the effectiveness of the constellation but also analyzing the variation of its effectiveness. It lays a theoretical foundation for the analysis and optimization of the GEO satellite communication constellation effectiveness.