We consider a system model with two sources, a reliable source and an unreliable source, who are responsible for disseminating updates regarding a process to an age-based gossip network of $n$ nodes. Nodes wish to have fresh information, however, they have preference for packets that originated at the reliable source and are willing to sacrifice their version age of information by up to $G$ versions to switch from an unreliable packet to a reliable packet. We study how this protocol impacts the prevalence of unreliable packets at nodes in the network and their version age. Using a stochastic hybrid system (SHS) framework, we formulate analytical equations to characterize two quantities: expected fraction of nodes with unreliable packets and expected version age of information at network nodes. We show that as $G$ increases, fewer nodes have unreliable packet, however, their version age increases as well, thereby inducing a freshness-reliability trade-off in the network. We present numerical results to support our findings.

翻译：我们考虑一个包含两个信源（一个可靠信源和一个不可靠信源）的系统模型，负责向由$n$个节点构成的基于老化信息的信息流言网络传播关于某个过程的更新。节点希望获取新鲜信息，但优先选择源自可靠信源的数据包，并愿意通过牺牲最多$G$个版本（version age of information）来从不可靠数据包切换到可靠数据包。我们研究这一协议如何影响网络中节点持有的不可靠数据包的普及程度及其版本老化程度。采用随机混合系统（SHS）框架，我们构建分析方程以表征两个关键量：持有不可靠数据包的节点期望比例，以及网络节点处的期望版本老化信息。研究表明，随着$G$增大，持有不可靠数据包的节点减少，但其版本老化程度增加，从而在网络中引入新鲜度与可靠性之间的权衡。我们给出数值结果以支持该结论。