arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2109.08669cs.ITcs.NIeess.SPmath.IT
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八卦网络中信息的版本年龄

Version Age of Information in Clustered Gossip Networks

Baturalp Buyukates, Melih Bastopcu, Sennur Ulukus

摘要:

我们考虑一个网络组成的一个单一的源和$n$接收器节点,被分组到大小相等的集群。我们在每个簇中使用簇头来促进源和该簇中的节点之间的通信。在集群内部,节点根据给定的网络拓扑相互连接。基于节点之间的连通性,每个节点通过$local$ $gossiping$将其当前存储的源更新版本中继到其相邻节点。我们使用$version$ $age$度量来评估节点处的信息新鲜度。我们考虑每个集群的断开连接,环形和完全连接的网络拓扑。对于每个网络拓扑结构,我们在每个节点的平均版本年龄的特点,并找到平均版本年龄缩放作为网络大小的函数$n$。我们的研究结果表明,每个节点的平均版本年龄缩放的$O(\sqrt{n})$,$O(n^{\frac{1}{3}})$,和$O(\log n)$是可实现的断开,环,和完全连接的集群模型,分别。接下来,我们增加网络的连通性,并允许簇头之间的闲聊,以改善节点的版本年龄。与此同时,我们表明,当簇头之间形成一个环形网络,我们得到每个节点的平均版本年龄缩放的$O(n^{\frac{1}{3}})$,$O(n^{\frac{1}{4}})$,和$O(\log n)$在断开,环,和完全连接的集群模型,分别。接下来,专注于在每个集群中的环形网络拓扑结构,我们引入层次结构所考虑的集群八卦网络模型,并表明,当我们采用两个层次结构,我们可以实现相同的$O(n^{\frac{1}{4}})$扩展,而不使用专用的簇头。我们概括了这一结果的$h$层次结构的水平,并表明,每个用户的平均版本年龄缩放$O(n^{\frac{1}{2h}})$是可以实现的情况下,在每个集群中的环形网络在所有层次结构的水平。

英文摘要:

We consider a network consisting of a single source and $n$ receiver nodes that are grouped into equal-sized clusters. We use cluster heads in each cluster to facilitate communication between the source and the nodes within that cluster. Inside clusters, nodes are connected to each other according to a given network topology. Based on the connectivity among the nodes, each node relays its current stored version of the source update to its neighboring nodes by $local$ $gossiping$. We use the $version$ $age$ metric to assess information freshness at the nodes. We consider disconnected, ring, and fully connected network topologies for each cluster. For each network topology, we characterize the average version age at each node and find the average version age scaling as a function of the network size $n$. Our results indicate that per node average version age scalings of $O(\sqrt{n})$, $O(n^{\frac{1}{3}})$, and $O(\log n)$ are achievable in disconnected, ring, and fully connected cluster models, respectively. Next, we increase connectivity in the network and allow gossiping among the cluster heads to improve version age at the nodes. With that, we show that when the cluster heads form a ring network among themselves, we obtain per node average version age scalings of $O(n^{\frac{1}{3}})$, $O(n^{\frac{1}{4}})$, and $O(\log n)$ in disconnected, ring, and fully connected cluster models, respectively. Next, focusing on a ring network topology in each cluster, we introduce hierarchy to the considered clustered gossip network model and show that when we employ two levels of hierarchy, we can achieve the same $O(n^{\frac{1}{4}})$ scaling without using dedicated cluster heads. We generalize this result for $h$ levels of hierarchy and show that per user average version age scaling of $O(n^{\frac{1}{2h}})$ is achievable in the case of a ring network in each cluster across all hierarchy levels.

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