标题： 随机几何分析多层蜂窝网络中的停留时间 显示英文标题

标题： Stochastic Geometry Analysis of Sojourn Time in Multi-Tier Cellular Networks

摘要： 移动性的影响在未来一代无线服务中将变得越来越重要，相关的挑战需要得到解决。 停留时间，即移动用户在小区内停留的时间长度，是一个与移动性相关的参数，可以显著影响移动用户的性能，也可以被用来改进网络中的资源分配和移动性管理方法。 在本文中，我们推导了多层蜂窝网络中的停留时间分布和均值，其中每一层的基站（BS）的空间分布遵循独立的齐次泊松点过程（PPP）。 为了获得最大偏差平均接收功率关联的多层蜂窝网络中的停留时间分布，我们推导了每一层的线性接触分布函数和弦长分布。 我们还研究了平均停留时间与其他与移动性相关的性能指标之间的关系。 我们证明平均停留时间与切换速率成反比，停留时间的互补累积分布函数（CCDF）由切换概率的补集从上方限制。 此外，我们研究了用户速度和网络参数对停留时间的影响。 显示英文摘要

摘要： Impact of mobility will be increasingly important in future generation wireless services and the related challenges will need to be addressed. Sojourn time, the time duration that a mobile user stays within a cell, is a mobility-aware parameter that can significantly impact the performance of mobile users and it can also be exploited to improve resource allocation and mobility management methods in the network. In this paper, we derive the distribution and mean of the sojourn time in multi-tier cellular networks, where spatial distribution of base stations (BSs) in each tier follows an independent homogeneous Poisson point process (PPP). To obtain the sojourn time distribution in multi-tier cellular networks with maximum biased averaged received power association, we derive the linear contact distribution function and chord length distribution of each tier. We also study the relation between mean sojourn time and other mobility-related performance metrics. We show that the mean sojourn time is inversely proportional to the handoff rate, and the complementary cumulative distribution function (CCDF) of sojourn time is bounded from above by the complement of the handoff probability. Moreover, we study the impact of user velocity and network parameters on the sojourn time.