LIPIcs.SWAT.2022.30.pdf
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A Scalable Work Function Algorithm for the k-Server Problem
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18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022)
Series: Leibniz International Proceedings in Informatics (LIPIcs)
Conference: Scandinavian Symposium and Workshops on Algorithm Theory (SWAT) - License:
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- Publication Date: 2022-06-22
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Sharath Raghvendra and Rachita Sowle. A Scalable Work Function Algorithm for the k-Server Problem. In 18th Scandinavian Symposium and Workshops on Algorithm Theory (SWAT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 227, pp. 30:1-30:20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.SWAT.2022.30
https://doi.org/10.4230/LIPIcs.SWAT.2022.30
Abstract
We provide a novel implementation of the classical Work Function Algorithm (WFA) for the k-server problem. In our implementation, processing a request takes O(n²+k²) time per request; where n is the total number of requests and k is the total number of servers. All prior implementations take Ω(kn² +k³) time per request. Previous approaches process a request by solving a min-cost flow problem. Instead, we show that processing a request can be reduced to an execution of the Dijkstra’s shortest-path algorithm on a carefully computed weighted graph leading to the speed-up.
Subject Classification
ACM Subject Classification
- Theory of computation → K-server algorithms
Keywords
- k-server
- Work Function Algorithm
- Minimum-cost Flow
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References
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