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A local, distributed constant-factor approximation algorithm for the dynamic facility location problem

机译:动态设施位置问题的局部分布式恒因子近似算法

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We present a distributed, local solution to the dynamic facility location problem in general metrics, where each node is able to act as a facility or a client. To decide which r ole it should take, each node keeps up a simple invariant in its local neighborhood. This guarantees a global constant factor approximation when the invariant is satisfied at all nodes. Due to the changing distances between nodes, invariants can be violated. We show that restoring the invariants is bounded to a constant neighborhood, takes logarithmic (in the number of nodes) asynchronous rounds and affects each node at most twice per violation.
机译:我们在一般指标中向动态设施定位问题提供了一个分布式的本地解决方案,其中每个节点都能够充当设施或客户端。 要确定它应该需要哪个R ole,每个节点都在其本地邻居中保持了一个简单的不变性。 当所有节点满足不变时,这保证了全局常数因子近似。 由于节点之间的更改距离更改,因此可以违反不变性的。 我们显示恢复不变性界定为常数邻域,采用对数(在节点的数量)异步舍入并影响每个违规两次的每个节点。

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