Competitive algorithms for on-line problems
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
An optimal on-line algorithm for K-servers on trees
SIAM Journal on Computing
New results on server problems
SIAM Journal on Discrete Mathematics
Competitive k-server algorithms
Journal of Computer and System Sciences - Special issue: 31st IEEE conference on foundations of computer science, Oct. 22–24, 1990
Journal of the ACM (JACM)
On-line algorithms and the K-server conjecture
On-line algorithms and the K-server conjecture
Information Processing Letters
Online computation and competitive analysis
Online computation and competitive analysis
The harmonic k-server algorithm is competitive
Journal of the ACM (JACM)
The 3-server problem in the plane
Theoretical Computer Science
Weak Adversaries for the k-Server Problem
FOCS '99 Proceedings of the 40th Annual Symposium on Foundations of Computer Science
The generalized two-server problem
Journal of the ACM (JACM)
Computer Science Review
A new approach to solve the k-server problem based on network flows and flow cost reduction
Computers and Operations Research
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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 2k - 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.