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2 results on '"60J25, 60K25"'

1. Introduction to shape stability for a storage model

Author

Menshikov, M. V., Sisko, V. V., and Vachkovskaia, M.

Subjects
Mathematics - Probability, 60J25, 60K25
Abstract

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., Comment: 30 pages

Published
2007

2. Introduction to Shape Stability for a Storage Model

Author

Mikhail Menshikov, V. V. Sisko, and Marina Vachkovskaia

Subjects
Statistics and Probability, Discrete mathematics, Mathematical optimization, General Mathematics, Routing policy, Probability (math.PR), 60K25, Process (computing), Poisson distribution, Storage model, Stability (probability), Join the shortest queue, symbols.namesake, Recurrence, 60J25, Simple (abstract algebra), 60J25, 60K25, Transience, FOS: Mathematics, symbols, Node (circuits), Mathematics - Probability, Mathematics
Abstract

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., Comment: 30 pages

Published
2011

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