论文标题

在异步共享渠道中的时间和节能争夺解决方案

Time and Energy Efficient Contention Resolution in Asynchronous Shared Channels

论文作者

De Marco, Gianluca, Kowalski, Dariusz R., Stachowiak, Grzegorz

论文摘要

随着时间的流逝,许多独立激活的站点能够通过传输和聆听离散时间插槽的共享渠道进行通信,并且仅当其源站是一次唯一的发射器时,就可以成功地传递消息。尽管过去几十年来大量工作,但在现实情况下,许多基本问题仍在同步启动,而是在任意时期唤醒。在这项工作中,我们介绍了争夺解决基本问题的结果,其中每个竞争站都需要成功广播其信息。 我们表明,即使在成功传输和没有同步的情况下,即使频道的反馈仅限于简单的确认,自适应算法或算法就可以了解汇率$ k $获得线性$ o(k)$消息延迟。这种渐近的最佳性能不能扩展到其他设置:我们证明,如果不了解竞争尺寸$ k $允许延迟$ o(k \ log k/(\ log log \ log \ log \ log k)^2)$,没有非自适应算法。这尤其意味着,没有同步或估计竞争大小的情况下,具有确认的编码(甚至是随机)在共享通道上不是很有效。我们还提出了一种非自适应算法,没有任何竞争尺寸的知识几乎与潜伏期的下限相匹配。 最后,尽管没有碰撞检测机制,但我们表明我们的算法在能量方面也有效,这是执行过程中电台执行的传输总数。

A number of stations, independently activated over time, is able to communicate by transmitting and listening to a shared channel in discrete time slots, and a message is successfully delivered to all stations if and only if its source station is the only transmitter at a time. Despite a vast amount of work in the last decades, many fundamental questions remain open in the realistic situation where stations do not start synchronously but are awaken in arbitrary times. In this work we present a broad picture of results for the fundamental problem of Contention resolution, in which each of the contending stations needs to broadcast successfully its message. We show that adaptive algorithms or algorithms with the knowledge of the contention size $k$ achieve a linear $O(k)$ message latency even if the channel feedback is restricted to simple acknowledgements in case of successful transmissions and in the absence of synchronization. This asymptotically optimal performance cannot be extended to other settings: we prove that there is no non-adaptive algorithm without the knowledge of contention size $k$ admitting latency $o(k\log k/(\log\log k)^2)$. This means, in particular, that coding (even random) with acknowledgements is not very efficient on a shared channel without synchronization or an estimate of the contention size. We also present a non-adaptive algorithm with no knowledge of contention size that almost matches the lower bound on latency. Finally, despite the absence of a collision detection mechanism, we show that our algorithms are also efficient in terms of energy, understood as the total number of transmissions performed by the stations during the execution.

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