Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Fast Jackson Networks with Dynamic Routing
Problems of Information Transmission
Stability of two families of queueing networks and a discussion of fluid limits
Queueing Systems: Theory and Applications
On the stability of a partially accessible multi-station queue with state-dependent routing
Queueing Systems: Theory and Applications
A Load-Balanced Network with Two Servers
Queueing Systems: Theory and Applications
Stability of join-the-shortest-queue networks
Queueing Systems: Theory and Applications
Tests for nonergodicity of denumerable continuous time Markov processes
Computers & Mathematics with Applications
On the impact of customer balking, impatience and retrials in telecommunication systems
Computers & Mathematics with Applications
Accessible bibliography on retrial queues
Mathematical and Computer Modelling: An International Journal
Non-ergodicity criteria for denumerable continuous time Markov processes
Operations Research Letters
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We consider a retrial queueing network with different classes of customers and several servers. Each customer class is associated with a set of servers who can serve the class of customers. Customers of each class exogenously arrive according to a Poisson process. If an exogenously arriving customer finds upon his arrival any idle server who can serve the customer class, then he begins to receive a service by one of the available servers. Otherwise he joins the retrial group, and then tries his luck again after exponential time, the mean of which is determined by his customer class. Service times of each server are assumed to have general distribution. The retrial queueing network can be represented by a Markov process, with the number of customers of each class, and the customer class and the remaining service time of each busy server. Using the fluid limit technique, we find a necessary and sufficient condition for the positive Harris recurrence of the representing Markov process. This work is the first that applies the fluid limit technique to a model with retrial phenomenon.