The traffic in wireless networks has become diverse and fluctuating both spatially and temporally due to the emergence of new wireless applications and the complexity of scenarios. The purpose of this paper is to quantitatively analyze the impact of the wireless traffic, which fluctuates both spatially and temporally, on the performance of the wireless networks. Specially, we propose to combine the tools from stochastic geometry and queueing theory to model the spatial and temporal fluctuation of traffic, which to our best knowledge has seldom been evaluated analytically. We derive the spatial and temporal statistics, the total arrival rate, the stability of queues and the delay of users by considering two different spatial properties of traffic, i.e., the uniformly and non-uniformly distributed cases. The numerical results indicate that although the fluctuation of traffic (reflected by the variance of total arrival rate) when the users are clustered is much fiercer than that when the users are uniformly distributed, the unstable probability is smaller. Our work provides a useful reference for the design of wireless networks when the complex spatio-temporal fluctuation of the traffic is considered.

中文翻译：

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时空流量统计对无线网络性能的影响

由于新无线应用的出现和场景的复杂性，无线网络中的流量变得多样化并在空间和时间上波动。本文的目的是定量分析在空间和时间上波动的无线流量对无线网络性能的影响。特别地，我们建议结合随机几何和排队理论的工具来模拟交通的空间和时间波动，据我们所知，这很少被分析评估。我们通过考虑交通的两种不同空间特性，即均匀分布和非均匀分布情况，推导出空间和时间统计、总到达率、队列稳定性和用户延迟。数值结果表明，虽然用户聚集时的流量波动（由总到达率的方差反映）比用户均匀分布时剧烈得多，但不稳定概率较小。我们的工作为考虑复杂的流量时空波动时的无线网络设计提供了有用的参考。