Today's mobile battery-powered communication devices require that users access chargers via wired and, recently, wireless recharging facilities. For a device departing from a location with a given energy “budget”, a plausible strategy is to seek a charger location once the energy is exhausted. We present a model of mobile nodes that captures the paths followed by the nodes with depleted energy seeking, possibly via a detour, to reach a charger. The derived location-dependent mobile node density distribution is used to express the location-dependent congestion of a wireless network whose capacity is used by the mobile nodes. The boundaries, and the relative placement of the charger, create intriguing discontinuities in the probability density function of the nodes across space. We find that chargers are not always “hotspots” in terms of node density, and that the energy budget of the nodes at the beginning of their trip impacts that density and determines the hotspot. Moreover, upon energy depletion, to detour from one's path or not, results in a distinctly different relative impact of the charger placement on the ability of nodes to sustain communication, depending, again on the energy budget the nodes have upon departure from a waypoint.

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关于充电感知移动性和无线容量的相互作用

当今的移动电池供电通信设备要求用户通过有线和最近的无线充电设施访问充电器。对于从具有给定能源“预算”的地点出发的设备，一种合理的策略是在能源耗尽后寻找充电地点。我们提出了一个移动节点模型，该模型捕获具有耗尽能量的节点所遵循的路径，可能通过绕道寻找到达充电器。导出的位置相关移动节点密度分布用于表示无线网络的位置相关拥塞，其容量由移动节点使用。边界和充电器的相对位置在跨空间节点的概率密度函数中产生了有趣的不连续性。我们发现充电器在节点密度方面并不总是“热点”，并且节点在行程开始时的能量预算会影响该密度并确定热点。此外，在能量耗尽时，无论是否绕行，都会导致充电器放置对节点维持通信的能力产生明显不同的相对影响，这同样取决于节点在离开航路点时的能量预算。