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Lookup NU author(s): Emeritus Professor Isi Mitrani
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We study a model of queue storage in which items (requests for single units of storage) arrive in a Poisson stream and are accommodated by the first available location in a linear scan of storage. The processing times of items are independent, exponentially distributed random variables. The set of occupied locations (identified by their indices) at time t forms a random subset Si, of [1,2,.…]. The extent of the fragmentation in Si, i.e., the alternating holes and occupied regions of storage, is measured by Wt, = max St, – |St|.
Author(s): Coffman EG, Flatto L, Knessl C, Mitrani I, Shepp LA
Publication type: Article
Publication status: Published
Journal: Probability in the Engineering and Informational Sciences
Year: 1988
Volume: 2
Issue: 1
Pages: 75-93
ISSN (print): 0269-9648
ISSN (electronic): 1469-8951
Publisher: Cambridge University Press
URL: http://dx.doi.org/10.1017/S0269964800000644
DOI: 10.1017/S0269964800000644
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