多用户非线性网络系统各优先级价差分析

Analysis of Price Difference Between Different Priorities of Multi-User Non-Linear Network Systems

对多用户非线性网络系统Nash平衡点与各优先级价差的关系进行了定量分析·建立用户盈余函数的数学模型,以及网络系统的盈余函数与用户盈余函数的关系,同时利用差分法论证了各优先级价差对系统达到Nash平衡的影响,定量给出了由各优先级价差的取值范围来确定平衡点位置的方法,及网络系统达到Pareto最优的Nash平衡条件·最后给出一个两用户两优先级网络系统的数值举例,并就优先级价差对用户服务选择的影响以及系统的平衡问题进行了分析,其结果验证了该方法的有效性·

Analyzes quantitatively the relationship between Nash balance points of multi-user non-linear network systems and the price difference between different priorities of these systems. Develops a mathematical model in terms of users surplus function and relates it with the surplus function of the network systems. Difference method is used to illustrate the effect of each and every price difference between priorities of the systems when reaching Nash balance point, and a quantitative method is given to determine the position of a balance point from the range of values to take for each and every price difference between priorities, thus giving the condition on which the network systems will come up to Nash balance with Pareto optimality. A numerical example is given to show how to analyze a two-user and two-priority network system. Discusses the effect of price difference between priorities on the service selection for users and the balance of systems. The effectiveness of the method proposed is thus verified.