Performance of Hierarchical Cellular Networks with Overlapping Cells

  • Villy B. Iversen
  • Vilius Benetis
  • Peter D. Hansen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3427)


An efficient utilisation of the radio resources in mobile communications is of a great importance. If the capacity is split into many independent small groups, then for a given blocking probability the utilization becomes low. In this paper we describe the basic principles and strategies for obtaining maximum utilisation as given by Erlang’s B-formula. The models described are analytical models and generalisations of the Erlang-B formula, including general arrival processes and multi-rate (multi-media) traffic for second and third generation systems. A transformation from cell-based network to direct routing network model is used to carry out the calculations. By numerical examples we study the statistical multiplexing advantages of cell breathing, overlapping cells and hierarchical cell structures.


blocking cell breathing cellular networks direct routing Erlang-B formula hierarchical cellular networks multi-rate services 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Villy B. Iversen
    • 1
  • Vilius Benetis
    • 1
  • Peter D. Hansen
    • 1
  1. 1.Research Center COMTechnical University of DenmarkKongens Lyngby

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