Abstract
For a highly distributed heterogeneous environment such as mobile P2P network, in order to better achieve the goal of cooperation and resource sharing of various terminal systems, maintain and improve the performance of the network, building a network topology with good performance is the key to research, in view of this feature, based on the hybrid mobile network model combining semi-distributed topology and fully distributed topology, a two-stage queuing model with retry space and working fault is established. The probability distribution under steady-state of the net-work model is obtained by using the mimic-life and extinction process, the matrix geometric solution method and the Gauss-Seidel iterative method, and the expression of performance indicators such as the average number of nodes in the two stages is given. The numerical experiment is carried out by programming software, the influence of parameters on each index is analyzed, and the optimal parameters are solved by constructing the average cost function per unit time and the social utility function of the system, which provides a decision-making basis for the mobile P2P net-work model.

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