无线自组网随机点移动模型平稳节点分布

Stationary Node Distribution of Random Waypoint Mobility Model in Ad-hoc Networks

针对无线自组网随机点模型的平稳节点分布问题,应用帕尔姆积分加以研究。分析得到了模型工作在一维区间和二维圆形区域中节点分布的概率密度函数的解析解。证明该模型在达到平稳态时,节点会以较高概率出现在区域中心附近,而以较低概率出现在区域边界附近。网络节点由初始时刻的随机分布演变到这种非均匀分布所经历的瞬态过程降低了仿真的准确度和可信度。

Stationary node distribution of random waypoint model in ad-hoc networks is studied by the tools of palm calculus.Analytical solutions are obtained for probability density function of node distribution in the model,especially in both one-dimensional range and two-dimensional circular region.Results show that when the stationary regime of model is achieved,nodes will appear near region center with much higher probability, while it is low when nodes approach region boundary.The transient procedure within which nodes distribution becomes nonuniform gradually from uniform one impairs validity and credibility of simulation.