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Fast and simple approximation algorithms for maximum weighted independent set of links

机译:快速简单的近似算法,用于最大加权独立链接集

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Finding a maximum-weighted independent set of links is a fundamental problem in wireless networking and has broad applications in various wireless link scheduling problems. Under protocol interference model, it is NP-hard even when all nodes have uniform (and fixed) interference radii and the positions of all nodes are available. On one hand, it admits a polynomial-time approximation scheme (PTAS). In other words, for any fixed ε > 0, it has a polynomial-time (depending on ε) (1 + ε)-approximation algorithm. However, such PTAS is of theoretical interest only and is quite infeasible practically. On the other hand, only with the uniform interference radii is a simple (greedy) constant-approximation algorithm known. For the arbitrary interference radii, fast constant-approximation algorithms are still missing. In this paper, we present a number of fast and simple approximation algorithms under the general protocol interference model. When applied to the plane geometric variants of the protocol interference model, these algorithms produce constant-approximate solutions efficiently.
机译:找到最大加权的独立链路集是无线网络中的一个基本问题,并且在各种无线链路调度问题中具有广泛的应用。在协议干扰模型下,即使所有节点具有统一(和固定)的干扰半径并且所有节点的位置均可用,它也是NP困难的。一方面,它接受多项式时间近似方案(PTAS)。换句话说,对于任何固定的ε> 0,它都有一个多项式时间(取决于ε)(1 +ε)近似算法。然而,这样的PTAS仅在理论上有意义,并且在实践中是完全不可行的。另一方面,只有统一的干扰半径才是已知的简单(贪婪)常数近似算法。对于任意的干扰半径,仍然缺少快速的常数近似算法。在本文中,我们提出了在通用协议干扰模型下的许多快速和简单的近似算法。当将这些算法应用于协议干扰模型的平面几何变量时,它们可以有效地产生近似恒定的解。

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