标题： 通过具有重传的噪声随机接入进行高效远程监控 显示英文标题

标题： Efficient Remote Monitoring through Noisy Random Access with Retransmissions

摘要： 我们考虑一个由一组设备和一个基站组成的罕见事件监控系统，其中设备使用随机多址接入方案将关于罕见事件的信息传输到基站。 我们引入了一个模型，其中多址接入信道中的噪声即使在没有传输碰撞的情况下也可能导致消息丢失。 事件的发生由一族独立的两状态马尔可夫链（状态为0和1）建模。 我们分析了重复传输如何影响系统性能。 提出了两个效率标准并进行了研究：固定设备关于事件的消息成功传送到基站的最大概率，以及基站成功接收整个系统更新的最大频率。 对于每个标准，我们确定了重传次数作为系统参数的函数。 显示英文摘要

摘要： We consider a rare event monitoring system consisting of a set of devices and a base station, where devices transmit information about rare events to the base station using a random multiple access scheme. We introduce a model in which the presence of noise in the multiple access channel can cause message loss even in the absence of transmission collisions. The occurrence of events is modeled by a family of independent two-state Markov chains (with states 0 and 1). We analyze how repeated transmissions affect system performance. Two efficiency criteria are proposed and studied: the maximum probability that a message about an event from a fixed device is successfully delivered to the base station and the maximum frequency at which the base station successfully receives updates about the entire system. For each criterion, we determine the optimal number of retransmissions as a function of the system parameters.