Performance Analysis Of P2P Networks Based On Queue With Bulk Service And Asynchronous Vacation

With the widespread use of P2P network technology,the problem of system energy consumption has become a topic of general interest.It is becoming increasingly important that P2P network performance is improved.In order to reduce the energy consumption of hybrid P2P network resource transmission,this paper abstracts the requesting node as a customer,the service node as a server,and the resource transmission process between nodes as a service process.The queueing theory is used to analyze the problem of excessive system energy consumption caused by too many requesting nodes in the hybrid P2P network.Based on the classical queueing model,this paper introduces bulk service and asynchronous vacation strategies to establish two queueing systems.Based on the quantitative analysis of the hybrid P2P network queueing system,the energy consumption of the system under different states is studied.Verify the validity of the model and construct the revenue function to provide the basis for selecting the better system parameters.Firstly,the transaction time data of requesting nodes in the P2P network are obtained through the website.The transaction interval was calculated,and the data were tested according to the scatter plot and Pearson χ2-test.Verify that the transaction interval follows the exponential distribution,which provides a favorable data basis for the establishment of the queueing model.Secondly,the process of the hybrid P2P network resource transmission is simulated,assuming that the service node can serve multiple requesting nodes at one time.After the service is finished,it can take asynchronous single vacation,the M/Md/c queueing model of servers bulk service and asynchronous single vacation is established.The matrix-geometric solution method was used to solve the steady-state distribution of the queueing model,and the average length of the queue,the average waiting time,the average energy consumption and other performance indicators were derived.Numerical experiments were carried out to compare the system energy consumption under synchronous single vacation strategy and asynchronous single vacation strategy,and to verify that the model has an obvious effect of reducing energy consumption.The balanced optimization of the established hybrid P2P network queueing system is carried out to obtain the optimal value of the whole benefit.In order to solve the problem of high energy consumption in the hybrid P2P network,the appropriate parameters are sought.Finally,on the basis of the previous model,considering the characteristics of hybrid P2P network nodes equal,the requesting node after receiving the service can return to the system as a service node to provide services for other requesting nodes,the M/Md/c+k queueing model of bulk service with two types of servers and varying number of servers is established.The queueing theory is used to analyze and solve the steady-state distribution of the system,and the numerical analysis is carried out to analyze the influence of different parameters on the system indicator.Quantify the results and verify that the system energy consumption can be effectively reduced by selecting appropriate parameters.In addition,the benefit function is constructed and the equilibrium analysis is carried out to obtain the optimal arrival rate when the whole benefit is maximum.