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arXiv 2202.02878cs.ITmath.IT
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何时从传感器拉取数据以最小化基于距离的错误信息年龄度量

When to pull data from sensors for minimum Distance-based Age of incorrect Information metric

Saad Kriouile, Mohamad Assaad

AI总结:

本文针对远程状态估计问题,提出基于Whittle指数策略的调度方案,以最小化错误信息年龄(AoII),并通过数值结果验证其优于传统AoI度量。

摘要:

信息年龄(AoI)被引入用于捕捉实时监控应用中的新鲜度概念。然而,该度量在许多场景中存在不足,尤其是在量化当前状态与估计状态之间的不匹配时。为解决这一问题,本文采用错误信息年龄度量(AoII),该度量在追踪新鲜度影响的同时,考虑源与目的地知识之间的量化不匹配。我们考虑一个中心实体从遵循马尔可夫过程的远程源拉取信息的问题。它在每个时隙选择哪些源应发送其更新。由于调度器不知道远程源的实际状态,它基于马尔可夫源的参数每次估计AoII的值。其目标是使AoII函数的时间平均值尽可能小。为此,我们基于Whittle指数策略开发了一种调度方案。我们使用拉格朗日松弛方法,并证明对偶问题具有最优阈值策略。在此基础上,我们计算了Whittle指数的表达式。最后,我们提供了一些数值结果,以突出我们推导的策略与经典AoI度量相比的性能。

英文摘要:

The age of Information (AoI) has been introduced to capture the notion of freshness in real-time monitoring applications. However, this metric falls short in many scenarios, especially when quantifying the mismatch between the current and the estimated states. To circumvent this issue, in this paper, we adopt the age of incorrect information metric (AoII) that considers the quantified mismatch between the source and the knowledge at the destination while tracking the impact of freshness. We consider for that a problem where a central entity pulls the information from remote sources that evolve according to a Markovian Process. It selects at each time slot which sources should send their updates. As the scheduler does not know the actual state of the remote sources, it estimates at each time the value of AoII based on the Markovian sources' parameters. Its goal is to keep the time average of the AoII function as small as possible. For that purpose, We develop a scheduling scheme based on Whittle's index policy. To that extent, we use the Lagrangian Relaxation Approach and establish that the dual problem has an optimal threshold policy. Building on that, we compute the expressions of Whittle's indices. Finally, we provide some numerical results to highlight the performance of our derived policy compared to the classical AoI metric.

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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