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引用次数: 50
摘要
本文给出了一个测量任务系统模型的随机竞争比的近乎对数的下界(a . Borodin et al.， 1992)。这意味着广泛研究的K-server问题也有类似的下界。我们的证明是基于对度量空间的ramsey型定理的证明。特别地，我们证明了在每个度量空间中存在一个大的子空间，它近似于一个“层次上良好分离的树”(Y. Bartal, 1996)。这个定理可能有独立的意义。
A Ramsey-type theorem for metric spaces and its applications for metrical task systems and related problems
The paper gives a nearly logarithmic lower bound on the randomized competitive ratio for a Metrical Task Systems model (A. Borodin et al., 1992). This implies a similar lower bound for the extensively studied K-server problem. Our proof is based on proving a Ramsey-type theorem for metric spaces. In particular, we prove that in every metric space there exists a large subspace which is approximately a "hierarchically well-separated tree" (HST) (Y. Bartal, 1996). This theorem may be of independent interest.
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