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Randomized Competitive Analysis for Two Server Problems

Center for the Advanced Study of Algorithms, School of Computer Science, University of Nevada, Las Vegas, Nevada 89154, USA
School of Informatics, Kyoto University, Kyoto 606-8501, Japan
Author to whom correspondence should be addressed.
Algorithms 2008, 1(1), 30-42;
Received: 13 August 2008 / Accepted: 18 September 2008 / Published: 19 September 2008
PDF [230 KB, uploaded 28 September 2008]


We prove that there exists a randomized online algorithm for the 2-server 3-point problem whose expected competitive ratio is at most 1.5897. This is the first nontrivial upper bound for randomized k-server algorithms in a general metric space whose competitive ratio is well below the corresponding deterministic lower bound (= 2 in the 2-server case). View Full-Text
Keywords: Randomized Algorithms; Online Algorithms; Server Problems Randomized Algorithms; Online Algorithms; Server Problems

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This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Bein, W.; Iwama, K.; Kawahara, J. Randomized Competitive Analysis for Two Server Problems. Algorithms 2008, 1, 30-42.

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