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Effect of Message Transmission Path Diversity on Status Age

机译：消息传输路径多样性对身份年龄的影响

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摘要

This paper focuses on status age, which is a metric for measuring the freshness of a continually updated piece of information (i.e., status) as observed at a remote monitor. In paper, we study a system in which a sensor sends random status updates over a dynamic network to a monitor. For this system, we consider the impact of having messages take different routes through the network on the status age. First, we consider a network with plentiful resources (i.e., many nodes that can provide numerous alternate paths), so that packets need not wait in queues at each node in a multihop path. This system is modeled as a single queue with an infinite number of servers, specifically as an queue. Packets routed over a dynamic network may arrive at the monitor out of order, which we account for in our analysis for the model. We then consider a network with somewhat limited resources, so that packets can arrive out of order but also must wait in a queue. This is modeled as a single queue with two servers, specifically an queue. We present the exact approach to computing the analytical status age, and we provide an approximation that is shown to be close to the simulated age. We also compare both models with , which corresponds to severely limited network resources, and we demonstrate the tradeoff between the status age and the unnecessary network resource consumption.
机译：本文着重讨论状态年龄，这是一种度量标准，用于衡量在远程监视器上观察到的不断更新的信息（即状态）的新鲜度。在本文中，我们研究了一种系统，其中传感器通过动态网络向监视器发送随机状态更新。对于此系统，我们考虑使消息通过网络使用不同的路由对状态年龄的影响。首先，我们考虑一个资源丰富的网络（即，许多节点可以提供许多备用路径），因此数据包无需在多跳路径中每个节点的队列中等待。该系统被建模为具有无限数量的服务器的单个队列，尤其是队列。通过动态网络路由的数据包可能无法按顺序到达监视器，这在我们对模型的分析中得到了说明。然后，我们考虑一个资源有限的网络，以便数据包可以无序到达，但也必须在队列中等待。这被建模为具有两个服务器的单个队列，特别是一个队列。我们提供了计算分析状态年龄的确切方法，并提供了一个近似值，该近似值已接近模拟年龄。我们还将两个模型与进行比较，这对应于严重受限的网络资源，并且我们演示了状态年龄与不必要的网络资源消耗之间的权衡。

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