Modeling and analysis of hierarchical cellular networks with bidirectional overflow and take-back strategies under generally distributed cell residence times |
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Authors: | Shensheng Tang Wei Li |
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Affiliation: | (1) Department of Electrical Engineering and Computer Science, University of Toledo, Toledo, OH 43606, USA |
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Abstract: | The rapid growth of wireless services and mobile users drives a great interest in cellular networks with a hierarchical structure.
Hierarchical cellular networks (HCNs) can provide high system capacity, efficient channel utilization and inherent load-balancing
capability. In this paper, we develop an analytical model and a performance analysis method for a two-layer HCN with bidirectional
overflow and take-back strategies. Mobile users are divided into two classes. The call requests (including new and handoff
calls) of fast and slow users are preferably assigned to the macrolayer and microlayer, respectively. A call from a fast user
or slow user can overflow to its non-preferable layer if there is no channel available. The successful overflow call can be
taken back to its preferable layer if a channel becomes available. Since the commonly used exponentially distributed assumption
for cell residence time and then the channel occupancy time does not hold for emerging mobile networks, we model various cell
residence times by general distributions to adapt to more flexible mobility environments. The channel occupancy times are
derived in terms of the Laplace transforms of various cell residence times. The handoff rates, overflow rates and take-back
rates of each layer are also derived in terms of the new call arrival rates and related probabilities. The stationary probabilities
(and then the performance measures) are determined on the basis of the theory of multi-dimensional loss systems. |
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Keywords: | Hierarchical cellular networks Handoff Overflow Take-back Cell residence time Channel occupancy time |
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