Queueing Theory - Queueing Networks

Queueing Networks

Networks of queues are systems which contain an arbitrary, but finite, number m of queues. Customers, sometimes of different classes, travel through the network and are served at the nodes. The state of a network can be described by a vector, where ki is the number of customers at queue i. In open networks, customers can join and leave the system, whereas in closed networks the total number of customers within the system remains fixed.

The first significant results in this area were Jackson networks, for which an efficient product form equilibrium distribution exists and the mean value analysis which allows average metrics such as throughput and sojourn times to be computed.

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