信息不可见混合式接入网络纳什均衡问题的研究

On the Nash equilibrium in hybrid access network based on unobservable scenario

为了合理评价混合式接入网络的系统性能,基于信息不可见情形,在离散时域下建立服务状态可变的马尔可夫排队系统。运用矩阵几何解方法求解系统的稳态分布,给出移动用户平均响应时间的表达式;根据“收益-支出”结构,分别从个人和系统的角度建立预期收益函数。进行数值实验和仿真实验,揭示纳什均衡和系统最优的进队策略之间的内在关系,以此为基础,给出社会最优收费方案,以实现混合式接入网络系统收益的最大化。

In the Internet access system,cellular network is generally without charge and Wi-Fi network is free for specific users.Mobile users often alternatively use cellular network and Wi-Fi network,namely hybrid access network,to access the Internet according to actual situation.In order to reasonably evaluate the system performance of the hybrid access network,a Markov queueing system with multiple server states is established in discrete-time domain based on unobservable scenario.By using matrix-geometric solution method to solve the steady-state distribution of the system model,the expression for the average response time of mobile users is given.According to a revenue-expenditure structure,the expected income functions are constructed from the view of individuals and system,respectively.Experiments with analysis and simulation are carried out to reveal the internal relationship between the Nash equilibrium and socially optimal queueing strategies.Furthermore,a charging policy is presented from the view point of the whole system,and the benefits of the hybrid access network is maximized.