Information flow with time lag in communication networks

The information flow with time lag is investigated to fulfill the efficient functioning of communication in networks. As one crucial factor to determine the processing ability of nodes, the information flow with potential time lag is modeled by co-processing diffusion which couples the continuous time processing and the discrete diffusing dynamics. Exact results on master equation and stationary state are achieved to disclose the formation and control of congestion which results from the time lag. Besides, some statistical properties are obtained to provide well understanding on the co-processing diffusion, e.g., memorylessness of the information flow. Moreover, numerical simulations suggest that many scale-free network systems undergo a special convention from free diffusion state to congestion due to the variety of processing ability.