论文标题
干扰排队网络的终身性和稳态分析
Ergodicity and steady state analysis for Interference Queueing Networks
论文作者
论文摘要
我们分析了Sankararaman-Baccelli-Foss（2019）中引入的$ \ Mathbb {Z}^D $上的交互排队网络，作为无线网络的模型。我们表明，最小固定分布的边际具有指数尾巴。这用于提供渐近造型，以在原点周围生长的盒子中最大的稳态队列长度。我们还建立了一个相关性的衰减，这表明最小的固定分布是强烈混合的，因此，相对于$ \ Mathbb {z}^d $的翻译而言。
We analyze an interacting queueing network on $\mathbb{Z}^d$ that was introduced in Sankararaman-Baccelli-Foss (2019) as a model for wireless networks. We show that the marginals of the minimal stationary distribution have exponential tails. This is used to furnish asymptotics for the maximum steady state queue length in growing boxes around the origin. We also establish a decay of correlations which shows that the minimal stationary distribution is strongly mixing, and hence, ergodic with respect to translations on $\mathbb{Z}^d$.
