标题： 泊松冰雹在无线地面上 显示英文标题

标题： Poisson Hail on a Wireless Ground

摘要： 本文定义了一个新模型，该模型结合了大量无线通信系统的三个关键要素：(1) 通过干扰的空间交互，(2) 队列类型的动态，用户不断加入和离开，(3) 如在WiFi中使用的载波侦听和冲突避免。 在使用(3)的系统中，客户在到达时不会直接访问共享资源，而是考虑周到地等待，直到附近正在服务的用户离开。 这个新模型可以看作是一个更大拼图中缺失的一块，其中包含空间出生-死亡过程、Poisson-Hail模型以及无线动态作为其他关键部分。 结果表明，在自然假设下，该模型可以表示为计数测度空间上的马尔可夫过程。 主要结果分为两部分。 第一部分是关于稳定区域的形状，更准确地说，是关于区分稳定性和不稳定性到达率临界值的表征。 第二部分则更具定性或甚至伦理性质。 有证据表明，对于自然的系统参数值，实施传感和冲突避免可以稳定一个如果允许立即访问共享资源将会不稳定系统。 换句话说，对于这些参数，放弃贪婪访问使共享变得可持续，而沉溺于贪婪访问则会摧毁系统。 显示英文摘要

摘要： This paper defines a new model which incorporates three key ingredients of a large class of wireless communication systems: (1) spatial interactions through interference, (2) dynamics of the queueing type, with users joining and leaving, and (3) carrier sensing and collision avoidance as used in, e.g., WiFi. In systems using (3), rather than directly accessing the shared resources upon arrival, a customer is considerate and waits to access them until nearby users in service have left. This new model can be seen as a missing piece of a larger puzzle that contains such dynamics as spatial birth-and-death processes, the Poisson-Hail model, and wireless dynamics as key other pieces. It is shown that, under natural assumptions, this model can be represented as a Markov process on the space of counting measures. The main results are then two-fold. The first is on the shape of the stability region and, more precisely, on the characterization of the critical value of the arrival rate that separates stability from instability. The second is of a more qualitative or perhaps even ethical nature. There is evidence that for natural values of the system parameters, the implementation of sensing and collision avoidance stabilizes a system that would be unstable if immediate access to the shared resources would be granted. In other words, for these parameters, renouncing greedy access makes sharing sustainable, whereas indulging in greedy access kills the system.