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Algorithms 2008, 1(1), 30-42; doi:10.3390/a1010030
Article

Randomized Competitive Analysis for Two Server Problems

1,* , 2
 and
2
1 Center for the Advanced Study of Algorithms, School of Computer Science, University of Nevada, Las Vegas, Nevada 89154, USA 2 School of Informatics, Kyoto University, Kyoto 606-8501, Japan
* Author to whom correspondence should be addressed.
Received: 13 August 2008 / Accepted: 18 September 2008 / Published: 19 September 2008
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Abstract

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).
Keywords: Randomized Algorithms; Online Algorithms; Server Problems Randomized Algorithms; Online Algorithms; Server Problems
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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