Multiclass G-Networks of Processor Sharing Queues with Resets
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
G-networks with synchronised arrivals
Performance Evaluation
An initiative for a classified bibliography on G-networks
Performance Evaluation
Multi-class network with phase type service time and group deletion signal
EPEW'11 Proceedings of the 8th European conference on Computer Performance Engineering
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
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We consider a closed queueing network of generalized queues with customers and signals. Each queue has an infinite capacity and one server. The service time is exponential. After its service completion a customer moves to another queue and may become a signal. When the signal enters a non empty queue it vanishes while it resets the queue when it enters an empty queue. We prove that the steady state distribution for such a closed network of queues has a product form solution. To the best of our knowledge it is the first closed network of generalized queues with product form solution. We also consider a more complex system where the reset acts upon a set of queues rather than a single one. We also prove that the steady-state distribution exists and has a product form.