We consider a queueing network of symmetric Gqueues with customers and signals. Since the seminal papers by Gelenbe in the early nineties [7, 9, 10], Generalized networks of queues have received considerable attention. But most papers assume to obtain product form that the service times follow exponential distributions. Here we propose a new generalisation of this model with Phase type service times. We also assume a new type of signal. When the signal enters a queue, it changes the phase of the customer in service when there is any. As usual after its service completion, a customer moves to another queue and may become a signal. The steady-state distribution for such a network of queues has a product form solution. © 2011 Springer Science+Business Media B.V.
CITATION STYLE
Dao-Thi, T. H., Fourneau, J. M., & Tran, M. A. (2010). Multiple class symmetric G-networks with phase type. In Lecture Notes in Electrical Engineering (Vol. 62 LNEE, pp. 51–56). Springer Verlag. https://doi.org/10.1007/978-90-481-9794-1_10
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