Introduction to shape stability for a storage model

Details Introduction to shape stability for a storage model Introduction to shape stability for a storage model

2007-09-02

arxiv.org/abs/0709.0121v3

Mathematics

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30 pages

Scientific paper

We consider a new idea for a storage model on n nodes, namely stability of shape. These nodes support K neighborhoods S_i \subset {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 \in 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.

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