Introduction to Shape Stability for a Storage Model

Author(s)

Menshikov, M. V. ^[1] ; Sisko, V. V. ^[2] ; Vachkovskaia, M. ^[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

• 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 Opportunities: Research Grants - Visiting Researcher Grant - International
• FAPESP's process: 04/07276-2 - Stochastic Modelling of Interacting Systems
• Grantee: Luiz Renato Gonçalves Fontes
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 09/52379-8 - Stochastic modeling of interacting systems
• Grantee: Fabio Prates Machado
• Support Opportunities: Research Projects - Thematic Grants