Fast Nonadaptive Deterministic Algorithm for Conflict Resolution in a Dynamic Multiple-Access Channel

Fast Nonadaptive Deterministic Algorithm for Conflict Resolution in a Dynamic Multiple-Access Channel
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动态多址信道冲突解决的快速非自适应确定性算法

DOI:
10.1137/140982763
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发表时间:
2015
期刊:
SIAM J. Comput.
影响因子:
--
通讯作者:
D. Kowalski
D. Kowalski
中科院分区:
--
文献类型:
--
作者:
G. D. Marco;D. Kowalski

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一个经典的问题,在解决一个分散的多址信道是解决冲突时,一组站试图在同一时间在一个共享的通信信道上发送。在静态场景中,即,当所有站同时激活时,Komlos和Greenberg [IEEE Trans. Inform. Theory,31(1985),pp. 302- 306]在他们的开创性工作表明,它是可能的,以解决冲突之间的$k$站从一个合奏的$n$,在时间$O(k + k \log(n/k))$在最坏的情况下,一个非自适应确定性算法。在本文中,我们表明,在一个动态的情况下,当站可以加入信道在任意轮,有一个非自适应的确定性算法,保证每个站的成功传输,只有稍微大的时间:O(k\log n\log\log n)$在最坏的情况下。这几乎与Greenberg和Winograd的$\Omega(k\log n/\log k)$下限相匹配[J. ACM,32(1985),pp. 589--596],甚至在更强的设置:自适应算法...
A classical problem in addressing a decentralized multiple-access channel is resolving conflicts when a set of stations attempt to transmit at the same time on a shared communication channel. In a static scenario, i.e., when all stations are activated simultaneously, Komlos and Greenberg [IEEE Trans. Inform. Theory, 31 (1985), pp. 302--306] in their seminal work showed that it is possible to resolve the conflict among $k$ stations from an ensemble of $n$, with a nonadaptive deterministic algorithm in time $O(k + k \log(n/k))$ in the worst case. In this paper we show that in a dynamic scenario, when the stations can join the channel at arbitrary rounds, there is a nonadaptive deterministic algorithm guaranteeing a successful transmission for each station in only a slightly bigger time: $O(k\log n\log\log n)$ in the worst case. This almost matches the $\Omega(k\log n/\log k)$ lower bound by Greenberg and Winograd [J. ACM, 32 (1985), pp. 589--596] that holds even in much stronger settings: for adaptive algor...
多路访问信道上的对抗性排队
DOI: 10.1145/2071379.2071384
发表时间: 2012
影响因子: 1.3
作者:
Chlebus B
通讯作者: Chlebus B