论文标题

时钟网络中的信息年龄

Age-of-Information in Clocked Networks

论文作者

Schoeffauer, R., Wunder, G.

论文摘要

我们在系统中严格限于全球时间网格的周期性实例的系统中获得信息年龄分布的关键特征。特别是,一个代理会定期生成更新,而另一代代理会定期使用这些更新的最新收到的。同样,通过网络传输这些更新只能定期发生。所有时期都可能有所不同。我们得出了两个不同模型的结果:可以直接处理数学问题的基本模型,而扩展模型也可以考虑到随机传输故障,从而使结果适用于无线通信的实例。对于这两种模型,都开发了适合预期信息年龄和最大发生值的上限的合适近似值。对于扩展模型(从实际角度来看,这是更相关的模型),我们还为许多参数选择的近似误差分布提供了数值结果。

We derive key features of the Age-of-Information distribution in a system whose activities are strictly limited to periodic instances on a global time grid. In particular, one agent periodically generates updates while the other agent periodically uses the most recently received of those updates. Likewise, transmission of those updates over a network can only occur periodically. All periods may differ. We derive results for two different models: a basic one in which the mathematical problems can be handled directly and an extended model which, among others, can also account for stochastic transmission failure, making the results applicable to instances with wireless communication. For both models, a suitable approximation for the expected Age-of-Information and an upper bound for its largest occurring value are developed. For the extended model (which is the more relevant one from a practical standpoint) we also present numerical results for the distribution of the approximation error for numerous parameter choices.

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