Spatial node distribution of the random waypoint mobility model with applications
Spatial node distribution of the random waypoint mobility model with applications
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DOI：
10.1109/tmc.2006.86
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发表时间：
2006-06
影响因子：
7.9
通讯作者：
Esa Hyytiä;P. Lassila;J. Virtamo
中科院分区：
文献类型：
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作者：
Esa Hyytiä;P. Lassila;J. Virtamo
随机路点模型(RWP)是移动自组网性能分析中应用最广泛的模型之一。我们根据RWP模型分析了节点在给定凸区内运动的平稳空间分布。对于这一点，我们给出了一个显式的表达式，它是一维积分的形式，给出了密度直到归一化常数的形式。这一结果也推广到路点分布不均匀的情况。作为特例，我们研究了一个修正的RWP模型，其中航点在周长上。通过数值算例说明了分析结果。此外，还将分析结果应用于adhoc网络的某些性能方面的研究，即连通性和流量负载分布。
The random waypoint model (RWP) is one of the most widely used mobility models in performance analysis of ad hoc networks. We analyze the stationary spatial distribution of a node moving according to the RWP model in a given convex area. For this, we give an explicit expression, which is in the form of a one-dimensional integral giving the density up to a normalization constant. This result is also generalized to the case where the waypoints have a nonuniform distribution. As a special case, we study a modified RWP model, where the waypoints are on the perimeter. The analytical results are illustrated through numerical examples. Moreover, the analytical results are applied to study certain performance aspects of ad hoc networks, namely, connectivity and traffic load distribution.