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Amanj Khorramian

Amanj Khorramian

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId: 63241651
Faculty: Faculty of Engineering
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Research

Title
Uniform Page Migration Problem in Euclidean Space
Type
JournalPaper
Keywords
page migration problem, competitive analysis, server problems, online algorithms, adversary model, euclidean space, uniform model
Year
2016
Journal ALGORITHMS
DOI
Researchers Akira Matsubayashi ، Amanj Khorramian

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.