A Polylogarithmic-Competitive Algorithm for the k -Server Problem

Author:

Bansal Nikhil1,Buchbinder Niv2,Madry Aleksander3,Naor Joseph (Seffi)4

Affiliation:

1. Technical University of Eindhoven

2. Tel Aviv University

3. Massachusetts Institute of Technology

4. Technion

Abstract

We give the first polylogarithmic-competitive randomized online algorithm for the k -server problem on an arbitrary finite metric space. In particular, our algorithm achieves a competitive ratio of Õ(log 3 n log 2 k ) for any metric space on n points. Our algorithm improves upon the deterministic (2 k -1)-competitive algorithm of Koutsoupias and Papadimitriou [Koutsoupias and Papadimitriou 1995] for a wide range of n .

Funder

NSF

NWO Vidi

ISF

ONR

BSF

ERC consolidator

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

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