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- Jackson_network abstract "In queueing theory, a discipline within the mathematical theory of probability, a Jackson network (sometimes Jacksonian network) is a class of queueing network where the equilibrium distribution is particularly simple to compute as the network has a product-form solution. It was the first significant development in the theory of networks of queues, and generalising and applying the ideas of the theorem to search for similar product-form solutions in other networks has been the subject of much research, including ideas used in the development of the Internet. The networks were first identified by James R. Jackson and his paper was re-printed in the journal Management Science’s ‘Ten Most Influential Titles of Management Sciences First Fifty Years.’Jackson was inspired by the work of Burke and Reich, though Jean Walrand notes \"product-form results … [are] a much less immediate result of the output theorem than Jackson himself appeared to believe in his fundamental paper\".An earlier product-form solution was found by R. R. P. Jackson for tandem queues (a finite chain of queues where each customer must visit each queue in order) and cyclic networks (a loop of queues where each customer must visit each queue in order).A Jackson network consists of a number of nodes, where each node represents a queue in which the service rate can be both node-dependent and state-dependent. Jobs travel among the nodes following a fixed routing matrix. All jobs at each node belong to a single \"class\" and jobs follow the same service-time distribution and the same routing mechanism. Consequently, there is no notion of priority in serving the jobs: all jobs at each node are served on a first-come, first-served basis.Jackson networks where a finite population of jobs travel around a closed network also have a product-form solution described by the Gordon–Newell theorem.".
- Jackson_network wikiPageID "3374374".
- Jackson_network wikiPageLength "13375".
- Jackson_network wikiPageOutDegree "26".
- Jackson_network wikiPageRevisionID "679290722".
- Jackson_network wikiPageWikiLink Burkes_theorem.
- Jackson_network wikiPageWikiLink Category:Queueing_theory.
- Jackson_network wikiPageWikiLink Category:Stochastic_processes.
- Jackson_network wikiPageWikiLink First-come,_first-served.
- Jackson_network wikiPageWikiLink Fluid_network.
- Jackson_network wikiPageWikiLink Geometric_distribution.
- Jackson_network wikiPageWikiLink Gordon–Newell_theorem.
- Jackson_network wikiPageWikiLink Jackson_network.
- Jackson_network wikiPageWikiLink James_R._Jackson.
- Jackson_network wikiPageWikiLink Jean_Walrand.
- Jackson_network wikiPageWikiLink Management_Science_(journal).
- Jackson_network wikiPageWikiLink Markov_chain.
- Jackson_network wikiPageWikiLink Poisson_point_process.
- Jackson_network wikiPageWikiLink Probability_mass_function.
- Jackson_network wikiPageWikiLink Probability_theory.
- Jackson_network wikiPageWikiLink Product-form_solution.
- Jackson_network wikiPageWikiLink Queueing_theory.
- Jackson_network wikiPageWikiLink Reflected_Brownian_motion.
- Jackson_network wikiPageWikiLink Renewal_theory.
- Jackson_network wikiPageWikiLink Unit_vector.
- Jackson_network wikiPageWikiLink File:Open_jackson_network_(final).png.
- Jackson_network wikiPageWikiLinkText "Jackson network".
- Jackson_network title "Proof".
- Jackson_network titlestyle "font-size:12pt".
- Jackson_network toggle "left".
- Jackson_network wikiPageUsesTemplate Template:Clarify.
- Jackson_network wikiPageUsesTemplate Template:Hidden_begin.
- Jackson_network wikiPageUsesTemplate Template:Hidden_end.
- Jackson_network wikiPageUsesTemplate Template:More_footnotes.
- Jackson_network wikiPageUsesTemplate Template:Queueing_theory.
- Jackson_network wikiPageUsesTemplate Template:Reflist.
- Jackson_network subject Category:Queueing_theory.
- Jackson_network subject Category:Stochastic_processes.
- Jackson_network hypernym Network.
- Jackson_network type Broadcaster.
- Jackson_network type Type.
- Jackson_network type Process.
- Jackson_network type Redirect.
- Jackson_network type Type.
- Jackson_network comment "In queueing theory, a discipline within the mathematical theory of probability, a Jackson network (sometimes Jacksonian network) is a class of queueing network where the equilibrium distribution is particularly simple to compute as the network has a product-form solution.".
- Jackson_network label "Jackson network".
- Jackson_network sameAs Q2524990.
- Jackson_network sameAs Jackson-netwerk.
- Jackson_network sameAs m.0988y7.
- Jackson_network sameAs Q2524990.
- Jackson_network wasDerivedFrom Jackson_network?oldid=679290722.
- Jackson_network isPrimaryTopicOf Jackson_network.
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