【摘 要】
：
Recently, various big networks are developed from, such as, computer networks, internet of things, cloud computation, manufacturing systems, transportation
【机 构】
：
SchoolofEconomicsandManagementSciencesYanshanUniversity,Qinhuangdao066004,China
【出 处】
：
The 24th International Workshop on Matrices and Statistics(第
论文部分内容阅读
Recently, various big networks are developed from, such as, computer networks, internet of things, cloud computation, manufacturing systems, transportation networks, healthcare systems and so on. When applying the mean-field theory to analyze the big networks, this paper sets up a broad class of nonlinear continuous-time Markov processes. First of all, this paper proposes an algorithmic $R$-measure method for computing the fixed points of the nonlinear Markov processes by means of the UL-type $RG$-factorization. Then this paper uses the fixed points to further consider the local stability and metastability of the nonlinear Markov processes corresponding to the big networks. Finally, some examples of practical big networks are provided to show that these results given in this paper are useful and effective in the study of big networks.
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