Research On Queuing System Of P2P Network Resource Transmission Management

With the development of P2P networks,the speed and quality that the various nodes transmit resources has become a research focus increasingly in the research and management of P2P network.This paper introduces the strategy of servers classification into the M/M/3 queuing system according that nodes transmit resources to users,and three queuing models are established respectively to analyze the system performance.The main research work of the paper includes the following three parts:Firstly,an M/M/3 queuing model with impatient customer and server classification is established according to the behavior of users when requesting resources.A two-dimensional continuous time Markov chain is constructed to obtain the state transition rate matrices of the P2P network classified transmission resource management system.The steady-state distribution of system is solved by using mathematical methods such as matrix-geometric solution,and then a series of expressions of performance indexes are obtained in P2P network resource transmission management system.Numerical experiments are performed on the constructed social utility function to obtain the optimal arrival rate of users.Secondly,according to the service process of the spare node taking over the transmission work of the main node,the spare server strategy is introduced into the server classification M/M/3 queuing model.Using the method of quasi-birth-and-death process and matrix-geometric solution,the expressions of system performance indexes such as the average delay of users and the average length of users waiting for transmission resources in the buffer are derived.In addition,in the case that the user is invisible to the node state,considering the user arrival rate under the Nash equilibrium strategy and the social optimal strategy,the resource transmission management system in the P2P network is optimized.Finally,because the super node has the behavior of caching resources and updating internal resources,and malicious nodes may reach the system.So a server classification M/M/3 with Bernoulli vacation and negative customer policy is established.Using numerical experiments to analyze system performance indexes.Through the Nash equilibrium strategy and the social optimal strategy,the maximum system benefit and the user optimal arrival rate are analyzed.