Title
Typical Voronoi cells for Cox point processes on Manhattan grids
Abstract
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, designed to model real cities with a gridlike layout. We explain how the mathematical description can be turned into a simulation algorithm, provide numerical results uncovering novel effects when compared to classical isotropic networks and finally compare the results to a real street system.
Year
DOI
Venue
2019
10.23919/WiOPT47501.2019.9144122
2019 International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOPT)
Keywords
DocType
ISBN
Palm calculus,typical cell,Cox point process,random tessellation,anisotropy
Conference
978-3-903176-20-1
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
A. Hinsen100.34
C. Hirsch200.34
B. Jahnel300.34
E. Cali400.34