Interconnected networks of queues with randomized arrival and departure blocking |
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| Authors: | Peter de Waal Nico M van Dijk |
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| Institution: | (1) Centre for Mathematics and Computer Science, P.O. Box 4079, 1009 AB Amsterdam, The Netherlands;(2) Department of Econometrics, Free University, De Boelelaan 1105, 1081 HV Amsterdam, The Netherlands;(3) Present address: Department of Econometrics, University of Amsterdam, Jodenbreestrast 23, 1011 NH Amsterdam, The Netherlands |
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| Abstract: | In this paper, we study two interconnected multiclass non-exponential queueing networks. Jobs can jump from one cluster to another, but subject to randomized blocking depending on the class occupancies. Such systems naturally arise in communication networks, like Metropolitan Area Networks. We present sufficient conditions for the existence of a product form equilibrium distribution under both the recirculate and the stop blocking protocol. A number of examples are given. |
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