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On power-law decay exponents and Barabasi models for subscriber usage behaviour in mobile networks

机译:关于移动网络中用户使用行为的幂律衰减指数和Barabasi模型

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We consider whether Barabási multiclass priority service queueing models are appropriate for modelling voice and short message service interusage and voice usage residual time distributions for a set of high usage subscribers of an Asian telecommunication service provider. We find that a model with a non priority service discipline rather than any priority discipline provides an alternative explanation for the fitted power-law for the interusage time distributions. We also find that a Barabási model provides an alternative explanation to the fitted power-law for the voice usage residual time distribution. However, the exponent of the fitted power-law has not been observed before. Therefore, we propose and analyse a new Barabási list-of-tasks priority model with time varying and discrete task priorities. For a special case we show that the waiting time distribution has a power-law with a previously unknown power-law decay exponent, which is different from the observed exponent for the voice usage residual time distribution.
机译:我们考虑Barabási多类优先级服务排队模型是否适合为亚洲电信服务提供商的一组高使用率订户建模语音和短消息服务的互用以及语音使用剩余时间分布。我们发现,具有非优先服务准则而不是任何优先准则的模型为内部时间分布的拟合幂律提供了另一种解释。我们还发现,Barabási模型为语音使用剩余时间分布提供了拟合幂律的另一种解释。但是,以前没有观察到所拟合的幂律的指数。因此,我们提出并分析了具有时变和离散任务优先级的新Barabási任务列表优先级模型。对于特殊情况,我们表明等待时间分布具有幂律,该幂律具有以前未知的幂律衰减指数,这与语音使用剩余时间分布的观察到的指数不同。

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