基于两类服务台批量服务、异步休假排队的P2P网络性能分析
Performance Analysis of P2P Networks Based on Two Types of Servers Bulk Service and Asynchronous Vacation Queueing Model
摘要: 为了对P2P网络性能进行分析，解决P2P网络系统能耗过大的问题，本文将P2P网络中发出资源请求的节点抽象成顾客，提供服务的节点抽象成服务台，在经典排队模型的基础上引入两类服务台批量服务、异步休假策略建立服务台数变化的M/Md/c+k(0≤k≤d)排队模型。利用矩阵几何解方法求解出系统的稳态分布，进而推导出系统平均队长、平均等待时间等性能指标，并分析了系统不同状态下的能耗问题，提出纳什均衡和社会最优策略，为改善P2P网络能耗大的问题寻找合适参数。
Abstract: In order to analyze the performance of P2P networks and solve the problem of excessive energy consumption of P2P network system. In this paper, the peers that resource requests in a P2P net-work are abstracted into customers and the peers that provide services are abstracted into servers. Based on the classical queueing model, two types of servers bulk service and asynchronous vacation strategies are introduced to establish the M/Md/c+k(0≤k≤d) queueing model. The steady-state distribution of the system is solved by using the matrix-geometric solution method, and then the performance indicators such as the average queue length and the average waiting time of the system are derived. This paper also focuses on the energy consumption of the system in different periods, and puts forward the Nash equilibrium and the social optimal strategy to find appropriate parameters to improve the problem of high energy consumption in P2P networks.
文章引用：刘易林. 基于两类服务台批量服务、异步休假排队的P2P网络性能分析[J]. 计算机科学与应用, 2023, 13(3): 334-348. https://doi.org/10.12677/CSA.2023.133032

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