We investigate the performance of a random access network consisting of source-destination dipoles. The source nodes transmit information packets to their destinations over a shared spectrum. All the transmitters in this network adhere to an age threshold slotted ALOHA (TSA) protocol: every source node remains silent until the age of information (AoI) reaches a threshold, after which the source accesses the radio channel with a certain probability. We derive a tight approximation for the signal-to-interference-plus-noise ratio (SINR) meta distribution and verify its accuracy through simulations. We also obtain analytical expressions for the average AoI. Our analysis reveals that when the network is densely deployed, employing TSA significantly decreases the average AoI. The update rate and age threshold must be jointly optimized to fully exploit the potential of the TSA protocol.

翻译：本文研究由源-目的地偶极子组成的随机接入网络的性能。源节点通过共享频谱向其目的地传输信息包。该网络中的所有发射机均遵循年龄阈值时隙ALOHA（TSA）协议：每个源节点保持静默，直至信息年龄（AoI）达到阈值，此后该源以一定概率接入无线信道。我们推导了信干噪比（SINR）元分布的紧致近似，并通过仿真验证其准确性。同时，我们获得了平均AoI的解析表达式。分析表明，当网络密集部署时，采用TSA可显著降低平均AoI。为充分利用TSA协议的潜力，必须联合优化更新速率与年龄阈值。