自组网Random Direction移动模型点空间概率分布的研究

在无线自组网的研究中，研究移动模型点的空间概率分布是研究自组网协议的仿真评价和分析移动自组网许多相关特性(例如网络连通性、最小生成树、平均路径长度、网络容量等)的重要的基础问题．针对自组网经常使用的Random Direction移动模型运动节点的空间分布进行了研究，给出了一维及二维情况下运动节点空间概率分布的精确公式．研究结果为基于Random Direction移动模型的证明、仿真与应用提供了严格的理论依据．

Research on Node Space Probabilistic Distribution According to Random Direction Mobility Model in Ad Hoc Network

In the mathematical analyses of ad hoc network theories,the node space distribution of a mobility model is an important foundation for the theoretic research of many relevant characteristic of ad hoc network,e.g.,network connectivity,MST,average path length,network capacity etc.,and is a key factor to the simulation results. Random direction mobility model is a commonly used mobility model in the field of ad hoc network. In this paper,the space probabilistic distribution of this mobility model is investigated. Through the analyses of the probability and average length of the events that contribute to the node space distribution,the exact formula of the node space probabilistic distribution are derived in both 1D and 2D regions. The results of this paper provide precise theoretic foundations for derivations,proofs,simulations and applications of ad hoc network based on random direction mobility model.