自组织网络随机方向模型的渐近节点分布
Asymptotic Node Distribution of Random Direction Model for Ad Hoc Networks
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摘要: 应用几何概率的方法分析自组织网络随机方向移动模型的渐近节点分布特征. 分析针对两种形状的仿真区域,对于圆形区域,得到了节点分布函数的精确闭式解;对于正方形区域,得到了分布函数的数值积分解. 理论分析和仿真证明,应用随机方向移动模型的网络当达到平稳状态时,节点会以较高的概率靠近区域边界,而以较低的概率位于区域中心.Abstract: Asymptotic node distribution of random direction model for Ad hoc networks is analyzed by the method of geometric probability. The analysis is done on two types of simulation regions. In circular regions, rigorous closed-form solutions of cumulative distribution function and probability density function are obtained. In square regions, we get numerical integral ones. Theoretical analysis and simulation experiments prove that when a network with random direction model achieves its steady state, the nodes appearing probability near the region border is higher than at the region center.
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