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Title
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Markovian Approximations for a Grid Computing Network with a Ring Structure
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Author
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Abstract
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| Optical grid networks allow many computing sites to share their resources by connecting them through high-speed links, providing a more efficient use of the resources and a timely response for incoming jobs. These jobs originate from users connected to each of the sites and, in contrast to traditional queueing networks, a particular job does not have to be processed in a predefined site. Furthermore, a job is always processed locally if there is an available local server. In this paper we propose two different methods to approximate the performance of an optical grid network with a ring topology. The first method is based on approximating the inter-overflow time process, while the second separately characterizes the periods where jobs are overflowed and the periods where they are served locally. Both approaches rely on a marked Markovian representation of the overflow process at each station and on reducing this representation by moment-matching methods. The results show that the methods accurately approximate the rate of locally processed jobs, one of the main performance measures |
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Language
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English
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Source (journal)
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Stochastic models. - New York, N.Y.
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Publication
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New York, N.Y.
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2010
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ISSN
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1532-6349
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DOI
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10.1080/15326349.2010.498315
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Volume/pages
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26
:3
(2010)
, p. 357-383
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ISI
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000280675100003
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Full text (Publisher's DOI)
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Full text (open access)
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