Kelly network

In queueing theory, a discipline within the mathematical theory of probability, a Kelly network is a general multiclass queueing network.{{Cite book | last1 = Chen | first1 = H. | last2 = Yao | first2 = D. D. | chapter = Kelly Networks | doi = 10.1007/978-1-4757-5301-1_4 | title = Fundamentals of Queueing Networks | series = Stochastic Modelling and Applied Probability | volume = 46 | pages = 69–96| year = 2001 | isbn = 978-1-4419-2896-2 }} In the network each node is quasireversible and the network has a product-form stationary distribution, much like the single-class Jackson network.

The model is named after Frank Kelly who first introduced the model in 1975 in his paper Networks of Queues with Customers of Different Types.{{Cite journal | last1 = Kelly | first1 = F. P. | author-link1 = Frank Kelly (mathematician)| title = Networks of Queues with Customers of Different Types | journal = Journal of Applied Probability | volume = 12 | issue = 3 | pages = 542–554 | doi = 10.2307/3212869 | jstor = 3212869| year = 1975 | s2cid = 51917794 | url = http://pdfs.semanticscholar.org/4f1c/8d8a6fb7b346c07c6a5ecadc0df3bd43bab0.pdf | archive-url = https://web.archive.org/web/20190224021249/http://pdfs.semanticscholar.org/4f1c/8d8a6fb7b346c07c6a5ecadc0df3bd43bab0.pdf | url-status = dead | archive-date = 2019-02-24 }}