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Algorithms 2016, 9(3), 57; doi:10.3390/a9030057

Uniform Page Migration Problem in Euclidean Space

Division of Electrical Engineering and Computer Science, Kanazawa University, Kanazawa 920-1192, Japan
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Academic Editor: Dimitris Fotakis
Received: 16 June 2016 / Revised: 16 August 2016 / Accepted: 18 August 2016 / Published: 23 August 2016
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Abstract

The page migration problem in Euclidean space is revisited. In this problem, online requests occur at any location to access a single page located at a server. Every request must be served, and the server has the choice to migrate from its current location to a new location in space. Each service costs the Euclidean distance between the server and request. A migration costs the distance between the former and the new server location, multiplied by the page size. We study the problem in the uniform model, in which the page has size D = 1 . All request locations are not known in advance; however, they are sequentially presented in an online fashion. We design a 2.75 -competitive online algorithm that improves the current best upper bound for the problem with the unit page size. We also provide a lower bound of 2.732 for our algorithm. It was already known that 2.5 is a lower bound for this problem. View Full-Text
Keywords: page migration problem; competitive analysis; server problems; online algorithms; adversary model; euclidean space; uniform model page migration problem; competitive analysis; server problems; online algorithms; adversary model; euclidean space; uniform model
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Khorramian, A.; Matsubayashi, A. Uniform Page Migration Problem in Euclidean Space. Algorithms 2016, 9, 57.

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