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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Introduction to Shape Stability for a Storage Model

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Author(s):
Menshikov, M. V. [1] ; Sisko, V. V. [2] ; Vachkovskaia, M. [3]
Total Authors: 3
Affiliation:
[1] Univ Durham, Dept Math Sci, Durham DH1 3LE - England
[2] Univ Fed Fluminense, Inst Math & Stat, BR-24020140 Niteroi, RJ - Brazil
[3] Univ Campinas UNICAMP, Dept Stat, Inst Math Stat & Sci Computat, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY; v. 15, n. 1, p. 125-146, MAR 2013.
Web of Science Citations: 0
Abstract

We consider a new idea for a storage model on n nodes, namely stability of shape. These nodes support K neighborhoods S (i) aS,aEuro parts per thousand[1, ..., n] and items arrive at the S (i) as independent Poisson streams with rates lambda (i) , i = 1, ... , K . Upon arrival at S (i) an item is stored at node j aaEuro parts per thousand S (i) where j is determined by some policy. Under natural conditions on the lambda (i) we exhibit simple local policies such that the multidimensional process describing the evolution of the number of items at each node is positive recurrent (stable) in shape. (AU)

FAPESP's process: 07/50459-9 - Mikhail Menshikov | University Durham - Inglaterra
Grantee:Serguei Popov
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 04/07276-2 - Stochastic Modelling of Interacting Systems
Grantee:Luiz Renato Gonçalves Fontes
Support type: Research Projects - Thematic Grants
FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support type: Research Projects - Thematic Grants