Performance analysis of a queueing system based on working vacation with repairable fault in the P2P network

In recent years, peer-to-peer (P2P) as a means of content distribution and sharing service are receiving extensive attention. this paper, the hybrid P2P network structure model is combined with knowledge queueing theory. order to address problem generated by unnecessary online behavior nodes, working sleep mechanism for serving nodes introduced, synchronous multiple vacation strategy also adopted decrease system energy consumption. Then repairable fault built, which used simulate resource transmission process study performance system. The steady-state probability vector derived employing quasi-birth-and-death matrix-geometric solution method. And expressions indicators, such average delay, obtained Gauss–Seidel iteration Through numerical experiments, indicators studied, provides theoretical basis consumption in network. through Nash equilibrium social optimal strategy, value maximum benefit under optimization obtained.