On the competitive ratio of the work function algorithm for the k-server problem

The k-server problem is one of the most fundamental online problems. The problem is to schedule k mobile servers to visit a sequence of points in a metric space with minimum total mileage. The k-server conjecture of Manasse, McGeogh, and Sleator states that there exists a k-competitive online algori...

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Veröffentlicht in:Theoretical computer science Jg. 324; H. 2; S. 337 - 345
Hauptverfasser: Bartal, Yair, Koutsoupias, Elias
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Amsterdam Elsevier B.V 20.09.2004
Elsevier
Schlagworte:
Algorithmics. Computability. Computer arithmetics
Applied sciences
Computer science; control theory; systems
Exact sciences and technology
Online algorithms
The k-server problem
Theoretical computing
Work function
Online algorithms
Work function
The k-server problem
Online algorithm
Metric space
Computer theory
k server problem
Competitive algorithms
ISSN:0304-3975, 1879-2294
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Zusammenfassung:The k-server problem is one of the most fundamental online problems. The problem is to schedule k mobile servers to visit a sequence of points in a metric space with minimum total mileage. The k-server conjecture of Manasse, McGeogh, and Sleator states that there exists a k-competitive online algorithm. The conjecture has been open for over 15 years. The top candidate online algorithm for settling this conjecture is the work function algorithm ( WFA) which was shown to have competitive ratio at most 2 k−1. In this paper, we lend support to the conjecture that WFA is in fact k-competitive by proving that it achieves this ratio in several special metric spaces: the line, the star, and all metric spaces with k+2 points.
Bibliographie:ObjectType-Article-2
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ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2004.06.001