2 research outputs found
The typical cell in anisotropic tessellations
The typical cell is a key concept for stochastic-geometry based modeling in
communication networks, as it provides a rigorous framework for describing
properties of a serving zone associated with a component selected at random in
a large network. We consider a setting where network components are located on
a large street network. While earlier investigations were restricted to street
systems without preferred directions, in this paper we derive the distribution
of the typical cell in Manhattan-type systems characterized by a pattern of
horizontal and vertical streets. We explain how the mathematical description
can be turned into a simulation algorithm and provide numerical results
uncovering novel effects when compared to classical isotropic networks.Comment: 7 pages, 7 figure
The typical cell in anisotropic tessellations
The typical cell is a key concept for stochastic-geometry based modeling in communication networks, as it provides a rigorous framework for describing properties of a serving zone associated with a component selected at random in a large network. We consider a setting where network components are located on a large street network. While earlier investigations were restricted to street systems without preferred directions, in this paper we derive the distribution of the typical cell in Manhattan-type systems characterized by a pattern of horizontal and vertical streets. We explain how the mathematical description can be turned into a simulation algorithm and provide numerical results uncovering novel effects when compared to classical isotropic networks