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Introduction to shape stability for a storage model

Menshikov, M.V.; Sisko, V.V.; Vachkovskaia, M.


V.V. Sisko

M. Vachkovskaia


We consider a new idea for a storage model on n nodes, namely stability of shape. These nodes support K neighborhoods S i  ⊂ {1, ..., n} and items arrive at the S i as independent Poisson streams with rates λ i , i = 1, ... , K . Upon arrival at S i an item is stored at node j ∈ S i where j is determined by some policy. Under natural conditions on the λ 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.


Menshikov, M., Sisko, V., & Vachkovskaia, M. (2013). Introduction to shape stability for a storage model. Methodology and Computing in Applied Probability, 15(1), 125-146.

Journal Article Type Article
Publication Date Mar 1, 2013
Deposit Date May 8, 2014
Publicly Available Date May 21, 2014
Journal Methodology and Computing in Applied Probability
Print ISSN 1387-5841
Electronic ISSN 1573-7713
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 15
Issue 1
Pages 125-146
Keywords Storage model, Recurrence, Transience, Join the shortest queue, Routing policy, 60J25, 60K25.


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