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Circuit-switching networks with FIFO plus justifying blockout service on infinite graphs |
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| Authors: | M Ya Kelbert Yu M Sukhov |
| Institution: | (1) Institute for Problems of Information Transmission USSR Academy of Science, 19, Yermolova Street, GSP-4, 101447 Moscow, USSR |
| Abstract: | A class of circuit-switching open queueing networks is discussed. The main result of the paper is that if extra message flows are not  too intensive and the path distribution is mainly concentrated on the paths of (graph) distance 1 (nearest neighbour connections), then the network has a unique stationary working regime, no matter how large the configuration graph of the network is. Standard properties of this regime are established such as decay of correlation and continuity. |
| Keywords: | Circuit-switching networks infinite graphs FIFO plus justifying blockout discipline small perturbations stochastic network equations majorizing families decay of correlations |
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