Vehicular platooning is a promising way to facilitate efficient movement of vehicles with a shared route. Despite its relevance, the interplay of platooning and the communication performance in the resulting vehicular network (VN) is largely unexplored. Inspired by this, we develop a comprehensive approach to statistical modeling and system-level analysis of VNs with platooned traffic. Modeling the network of roads using the by-now well-accepted Poisson line process (PLP), we place vehicles on each road according to an independent Matern cluster process (MCP) that jointly captures randomness in the locations of platoons on the roads and vehicles within each platoon. The resulting triply-stochastic point process is a PLP-driven-Cox process, which we term the PLP-MCP. We first present this new point process's distribution and derive several fundamental properties essential for the resulting VN's analysis. Assuming that the cellular base-stations (BSs) are distributed as a Poisson point process (PPP), we derive the distribution of the loads served by the typical BS and the BS associated with the typical user. In deriving the latter, we also present a new approach to deriving the length distribution of a tagged chord in a Poisson Voronoi tessellation. Using the derived results, we present the rate coverage of the typical user while considering partial loading of the BSs. We also provide a comparative analysis of VNs with and without platooning of traffic.
翻译:客式排队是便利车辆在一条共同路线上有效移动的一个很有希望的方法。尽管它具有相关性,排的相互作用以及由此形成的车辆网络(VN)的通信性能基本上尚未探索。受此启发,我们制定了一个全面的方法,用排式交通对VN进行统计建模和系统级分析。我们首先介绍了这个新点的分布,并得出了由此进行VN线分析所必需的几个基本属性。假设蜂窝基站作为Poisson点(PPPP)分发,我们得出了由典型的BS和BS驱动的运货量分布,我们还将目前典型的BS和BS的运货量比例与典型的用户比例联系起来。我们用Voisson的运货量分布也提供了我们目前典型的Vosson的运货量比例。我们用Voslus的运货量分布也与我们目前典型的BS的运货量比例挂钩。我们用S和BS的运货量比例也从我们目前的运货量计算得出了我们目前的一个典型的Bslus的运量。