论文标题
无线队列如何从运动中受益：对零和无限迁移率之间的连续体的分析
How wireless queues benefit from motion: an analysis of the continuum between zero and infinite mobility
论文作者
论文摘要
本文考虑了嵌入在移动无线干扰物的泊松点过程中的队列的时间演变。队列由外部到达过程驱动，并受到随时间变化的服务过程，该过程是其所看到的SINR的函数。干涉剂的静态配置导致无限队列工作负载，概率为正。相比之下，在干扰物具有任何非零迁移率的情况下，为队列建立了通用稳定条件，从而导致位移既独立于干扰物，又忽略了干扰物位置。证明利用了泊松点过程的混合属性。还研究了移动性对排队指标的影响。凸点订购工具用于确定更快的移动干扰器会导致队列工作负载，该工作负载较小，对于增加的Convex随机顺序。作为推论，随着网络移动性的增加，平均工作量和平均延迟减少。通过在不同时间点建立SINR级别跨事件之间的正相关，并确定干扰的自相关函数并观察到它随着移动性的增加而降低，则可以解释这种随机排序作为移动性的函数。使用离散事件模拟对系统行为进行经验分析，并使用重型交通近似值评估各种迁移率模型的性能。
This paper considers the time evolution of a queue that is embedded in a Poisson point process of moving wireless interferers. The queue is driven by an external arrival process and is subject to a time-varying service process that is a function of the SINR that it sees. Static configurations of interferers result in an infinite queue workload with positive probability. In contrast, a generic stability condition is established for the queue in the case where interferers possess any non-zero mobility that results in displacements that are both independent across interferers and oblivious to interferer positions. The proof leverages the mixing property of the Poisson point process. The effect of an increase in mobility on queueing metrics is also studied. Convex ordering tools are used to establish that faster moving interferers result in a queue workload that is smaller for the increasing-convex stochastic order. As a corollary, mean workload and mean delay decrease as network mobility increases. This stochastic ordering as a function of mobility is explained by establishing positive correlations between SINR level-crossing events at different time points, and by determining the autocorrelation function for interference and observing that it decreases with increasing mobility. System behaviour is empirically analyzed using discrete-event simulation and the performance of various mobility models is evaluated using heavy-traffic approximations.
