Asymptotic analysis of correlated queues and its application to performance evaluation of some networks

本文引入了非更新一维不动点过程的拟更新方程，并导出了这类方程的极限定理。此外，为了应用于一些网络的性能评估，我们对由空间标记点过程构造的随机图的度分布进行了渐近估计，并研究了蜂窝网络空间点过程模型的覆盖概率的渐近性质。

In this work, we introduced quasi-renewal equations for nonrenewal one-dimensional stationary point processes and derived the limit theorems for those equations. Besides, for the applications to performance evaluation of some networks, we asymptotically evaluated the degree distribution of random graphs, which are constructed from spatial marked point processes, and investigated the asymptotic property of coverage probability for spatial point process model of cellular networks.