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arXiv 1208.0627cs.NIcs.GT
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MLLS:物理干扰模型下的最小长度链路调度

MLLS: Minimum Length Link Scheduling Under Physical Interference Model

Xiaohua Xu, Jiannong Cao, Xiang-Yang Li

摘要:

我们研究一个基本问题,称为最小长度链路调度(MLLS),这是至关重要的无线网络的有效运作。给定一组任意长度扩展的通信链路,并假设每个链路在无线网络中具有一个单位的业务需求,问题MLLS寻求用于最小时隙数的所有链路(以满足所有需求)的调度,使得分配给相同时隙的链路在物理干扰模型下彼此不冲突。在本文中,我们将探讨三个重要的发射功率控制设置:线性功率控制,均匀功率控制和任意功率控制下的这个问题。我们设计了一套新的和新颖的调度算法,并进行显式的复杂性分析,以证明其效率。我们的算法可以考虑在无线网络中的背景噪声的存在。我们还调查了分数的情况下,每个环节的问题MLLS有一个分数的需求。我们提出了一个有效的贪心算法的近似比最多$(K+1)^{2}ω$。

英文摘要:

We study a fundamental problem called Minimum Length Link Scheduling (MLLS) which is crucial to the efficient operations of wireless networks. Given a set of communication links of arbitrary length spread and assume each link has one unit of traffic demand in wireless networks, the problem MLLS seeks a schedule for all links (to satisfy all demands) of minimum number of time-slots such that the links assigned to the same time-slot do not conflict with each other under the physical interference model. In this paper, we will explore this problem under three important transmission power control settings: linear power control, uniform power control and arbitrary power control. We design a suite of new and novel scheduling algorithms and conduct explicit complexity analysis to demonstrate their efficiency. Our algorithms can account for the presence of background noises in wireless networks. We also investigate the fractional case of the problem MLLS where each link has a fractional demand. We propose an efficient greedy algorithm of the approximation ratio at most $(K+1)^{2}ω$.

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