基于休假中断和同步工作休假排队的P2P网络性能分析  

Performance Analysis of P2P Networks Based on Vacation Interruption and Synchronous Working Vacation Queue

作　　者：张博宇 马占友[1] 任婕 姜子姝 ZHANG Boyu;MA Zhanyou;REN Jie;JIANG Zishu(School of Science,Yanshan University,Qinhuangdao 066004)

机构地区：[1]燕山大学理学院,秦皇岛066004

出　　处：《系统科学与数学》2025年第2期502-512,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(61973261);河北省自然科学基金项目(A2020203010);河北省软件工程重点实验室项目(22567637H)资助课题。

摘　　要：文章为了应对Peer-to-Peer(P2P)共享网络中普遍存在的流量拥塞问题,利用排队论理论对其进行建模分析.文章引入了休假中断这一策略,当系统中请求节点数超过阈值时,中断休假,以减少系统拥塞.并且文章考虑到P2P网络易遭受恶意节点攻击的问题,建立了带启动期、关闭期、同步多重工作休假、休假中断、负顾客的M/M/c的排队模型,采用拟生灭过程和矩阵几何解方法,得到了系统的稳态分布等性能指标.最后,通过数值实验分析了系统参数对性能指标的影响,并对系统的个人及社会收益进行了分析.该研究为提高P2P网络性能,解决流量拥塞问题提供理论依据.To cope with the common traffic congestion problem in peer-to-peer(P2P)sharing networks,this paper used the queuing theory to model and analyze it.We introduced the strategy of vacation interruption.When the number of requested nodes in the system exceeded the threshold,vacation was interrupted to reduce system congestion.Furthermore,we considered the problem that P2P networks were vulnerable to malicious node attacks and established a queuing model of M/M/with start-up period,shutdown period,synchronous multiple working vacations,vacation interruption,and negative customer.By using the Quasi-Birth-Death process and the matrix geometric solution,we obtained the steady-state probability distribution and other system performance indicators.Finally,through numerical experiments,we analyzed the influence of system parameters on performance indicators and the personal and social benefits of the system.This finding provided a theoretical basis for improving the performance of P2P networks and solving traffic congestion problems.

关 键 词：M/M/C排队 休假中断 启动期 矩阵几何解 流量拥塞 

分 类 号：O226[理学—运筹学与控制论]