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arXiv 2402.00845cs.ITcs.GTcs.NIcs.SYeess.SPeess.SYmath.IT
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状态更新系统中应在何时抢占?

When to Preempt in a Status Update System?

Subhankar Banerjee, Sennur Ulukus

AI总结:

本文研究无差错抢占式时隙状态更新系统中的最优采样与抢占时机,将其建模为MDP,给出始终抢占最优的充分与必要条件,并提出在特定队列统计假设下最优的双阈值采样策略。

摘要:

我们考虑一个具有无差错抢占式队列的时隙状态更新系统。采样器-调度器对的目标是通过采样并将新鲜采样的更新分组传输到监视器,来最小化监视器处的信息年龄。采样器-调度器对还可以选择从服务器抢占一个旧的更新分组,并向服务器传输一个新的更新分组。我们将该问题表述为马尔可夫决策过程(MDP),并求得最优采样策略。我们分别给出了始终抢占策略成为最优策略的一个充分条件和一个必要条件。我们证明,一旦监视器接收到一个更新分组,采样器-调度器对立即采样一个新分组是最优的。我们提出一种双阈值采样策略,并证明在关于队列统计特性的某些假设下,该策略是一种最优策略。

英文摘要:

We consider a time-slotted status update system with an error-free preemptive queue. The goal of the sampler-scheduler pair is to minimize the age of information at the monitor by sampling and transmitting the freshly sampled update packets to the monitor. The sampler-scheduler pair also has a choice to preempt an old update packet from the server and transmit a new update packet to the server. We formulate this problem as a Markov decision process (MDP) and find the optimal sampling policy. We find a sufficient, and also separately a necessary, condition for the always preemption policy to be an optimal policy. We show that it is optimal for the sampler-scheduler pair to sample a new packet immediately upon the reception of an update packet at the monitor. We propose a double-threshold sampling policy which we show to be an optimal policy under some assumptions on the queue statistic.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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