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Queueing theory
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=== Kendall's notation === {{Main|Kendall's notation}} Single queueing nodes are usually described using Kendall's notation in the form A/S/''c'' where ''A'' describes the distribution of durations between each arrival to the queue, ''S'' the distribution of service times for jobs, and ''c'' the number of servers at the node.<ref name="tijms">Tijms, H.C, ''Algorithmic Analysis of Queues'', Chapter 9 in A First Course in Stochastic Models, Wiley, Chichester, 2003</ref><ref>{{Cite journal | last1 = Kendall | first1 = D. G. | author-link1 = David George Kendall| title = Stochastic Processes Occurring in the Theory of Queues and their Analysis by the Method of the Imbedded Markov Chain | doi = 10.1214/aoms/1177728975 | jstor = 2236285| journal = The Annals of Mathematical Statistics | volume = 24 | issue = 3 | pages = 338β354 | year = 1953| doi-access = free }}</ref> For an example of the notation, the [[M/M/1 queue]] is a simple model where a single server serves jobs that arrive according to a [[Poisson process]] (where inter-arrival durations are [[exponentially distributed]]) and have exponentially distributed service times (the M denotes a [[Markov process]]). In an [[M/G/1 queue]], the G stands for "general" and indicates an arbitrary [[probability distribution]] for service times.
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