We introduce Mini Slotted Threshold-ALOHA (MiSTA), a slotted ALOHA modification designed to minimize the time average Age of Information (AoI) achieved in the network while also increasing throughput. In MiSTA, sources with age below a certain threshold stay silent. Nodes with age above the threshold that decide to transmit test the channel for possible collisions during a mini-slot placed ahead of each data slot. We derive the steady state distribution of the number of active sources and analyze its limiting behaviour. We show that MiSTA probabilistically converges to thinned slotted ALOHA, where the number of active users at steady state adjusts to optimize age. With an optimal selection of parameters, the AoI scales with the network size (i.e. the number of sources), n, as 0.9641n, in contrast to 1.4169n which is the lowest possible scaling with Threshold-ALOHA proposed in earlier literature. While achieving this reduction in age, MiSTA also increases achievable throughput to approximately 53%, from the 37% achievable by Threshold-ALOHA and regular slotted ALOHA.
翻译:我们引入了微软阈值-ALOHA(MISTA)(MISTA),这是一个有时间档的ALOHA(MISTA)修改,目的是将网络中达到的信息的平均年龄(AOI)最小化,同时增加吞吐量。在MISTA中,年龄低于某一阈值的来源保持沉默。年龄超过临界值的节点决定在每个数据位前面的微型点上传输可能发生碰撞的通道测试。我们从活跃源数的稳定分布中得出,并分析其限制行为。我们显示,MISTA(AOHA)在概率上接近被稀释的缩放的ALOHALOHA(ALOHA),在此阶段,处于稳定状态的活跃用户数量会调整到最优化的年龄。根据最佳的参数选择,AOI(即排放源数)的比值为0.964190,而与先前文献中提议的阈值-ALOHA的最小比例为1.4169n。在降低年龄的同时,MISTA(OHA)也提高了通过大约53%的吞吐量。