1st International ICST Workshop on Spatial Stochastic Models for Wireless Networks

Research Article

Comparison of Network Trees in Deterministic and Random Settings using Different Connection Rules

  • @INPROCEEDINGS{10.1109/WIOPT.2007.4480076,
        author={Catherine Gloaguen and Hendrik Schmidt and Ralf Thiedmann and Jean-Philippe  Lanquetin and Volker  Schmidt},
        title={Comparison of Network Trees in Deterministic and Random Settings using Different Connection Rules},
        proceedings={1st International ICST Workshop on Spatial Stochastic Models for Wireless Networks},
        publisher={IEEE},
        proceedings_a={SPASWIN},
        year={2008},
        month={3},
        keywords={Analytical models  Geometry  High definition video  Histograms  Research and development  Roads  Solid modeling  Stochastic processes  Stochastic systems  Telecommunications},
        doi={10.1109/WIOPT.2007.4480076}
    }
    
  • Catherine Gloaguen
    Hendrik Schmidt
    Ralf Thiedmann
    Jean-Philippe Lanquetin
    Volker Schmidt
    Year: 2008
    Comparison of Network Trees in Deterministic and Random Settings using Different Connection Rules
    SPASWIN
    IEEE
    DOI: 10.1109/WIOPT.2007.4480076
Catherine Gloaguen1,*, Hendrik Schmidt1,*, Ralf Thiedmann2,*, Jean-Philippe Lanquetin3,*, Volker Schmidt2,*
  • 1: France Telecom Research & Development NSM/R&D/RESA/NET 38-40, rue du General Leclerc, 92794 Issy-les-Moulineaux, France
  • 2: Institute of Stochastics, Ulm University Helmholtzstral3e 18, 89069 Ulm, Germany
  • 3: France Telecom Research & Development NSM/R&D/RESA/NET Technopole 6, avenue des usines, BP 382, 90007 Belfort Cedex, France
*Contact email: catherine.gloaguen@orange-ftgroup.com, hendrik.schmidt@orange-ftgroup.com, ralf.thiedmann@uni-ulm.de, jeanphilippe.lanquetin@orange-ftgroup.com, volker.schmidt@uni-ulm.de

Abstract

We examine the spatial distribution of network trees, i.e., shortest paths between network devices of different hierarchical levels placed randomly along an underlying infrastructure system. In particular, based on a simulation approach, we analyze the distributional behavior of the network trees obtained through two alternative connection rules. Moreover, we validate by visual comparison that the distributions of these network trees can be regarded as rather similar both in the case where the underlying infrastructure system is based on real road data and in the case where this system is based on a random tessellation model fitted to the real road data. Our study demonstrates that modeling telecommunication networks and the associated mobility along the infrastructure by usage of methods and models from stochastic geometry is feasible from the engineering point of view.