NDLI: How user throughput depends on the traffic demand in large cellular networks

Content Provider	IEEE Xplore Digital Library
Author	Blaszczyszyn, B. Jovanovicy, M. Karray, M.K.
Copyright Year	2014
Description	Author affiliation: INRIA-ENS, Paris, France (Blaszczyszyn, B.) \|\| Orange Labs., Issy-les-Moulineaux, France (Jovanovicy, M.; Karray, M.K.)
Abstract	We assume a space-time Poisson process of call arrivals on the infinite plane, independently marked by data volumes and served by a cellular network modeled by an infinite ergodic point process of base stations. Each point of this point process represents the location of a base station that applies a processor sharing policy to serve users arriving in its vicinity, modeled by the Voronoi cell, possibly perturbed by some random signal propagation effects. User service rates depend on their signal-to-interference-and-noise ratios with respect to the serving station. Little's law allows to express the mean user throughput in any region of this network model as the ratio of the mean traffic demand to the steady-state mean number of users in this region. Using ergodic arguments and the Palm theoretic formalism, we define a global mean user throughput in the cellular network and prove that it is equal to the ratio of mean traffic demand to the mean number of users in the steady state of the “typical cell” of the network. Here, both means account for double averaging: over time and network geometry, and can be related to the per-surface traffic demand, base-station density and the spatial distribution of the signal-to-interference-and-noise ratio. This latter accounts for network irregularities, shadowing and cell dependence via some cell-load equations. Inspired by the analysis of the typical cell, we propose also a simpler, approximate, but fully analytic approach, called the mean cell approach. The key quantity explicitly calculated in this approach is the cell load. In analogy to the load factor of the (classical) M/G/1 processor sharing queue, it characterizes the stability condition, mean number of users and the mean user throughput. We validate our approach comparing analytical and simulation results for Poisson network model to real-network measurements.
Sponsorship	IEEE Inf. Theory Soc.
Starting Page	611
Ending Page	619
File Size	802784
Page Count	9
File Format	PDF
ISBN	9783901882630
DOI	10.1109/WIOPT.2014.6850355
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-05-12
Publisher Place	Tunisia
Access Restriction	Subscribed
Rights Holder	IFIP
Subject Keyword	Base stations Interference Throughput cellular network typical cell traffic demand Microprocessors point process Computer architecture user-througput cell-load Mathematical model Little's law Palm theory Signal to noise ratio measurements ergodicity
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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