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Introduction to shape stability for a storage model.

Menshikov, M.V. and Sisko, V.V. and Vachkovskaia, M. (2013) 'Introduction to shape stability for a storage model.', Methodology and computing in applied probability., 15 (1). pp. 125-146.

Abstract

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.

Item Type:Article
Keywords:Storage model, Recurrence, Transience, Join the shortest queue, Routing policy, 60J25, 60K25.
Full text:(NA) Not Applicable
Download PDF (arXiv version)
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/s11009-011-9229-8
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/s11009-011-9229-8.
Date accepted:No date available
Date deposited:No date available
Date of first online publication:March 2013
Date first made open access:No date available

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