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- Burkes_theorem abstract "In queueing theory, a discipline within the mathematical theory of probability, Burke's theorem (sometimes the Burke's output theorem) is a theorem (stated and demonstrated by Paul J. Burke while working at Bell Telephone Laboratories) asserting that, for the M/M/1 queue, M/M/c queue or M/M/∞ queue in the steady state with arrivals a Poisson process with rate parameter λ: The departure process is a Poisson process with rate parameter λ. At time t the number of customers in the queue is independent of the departure process prior to time t.↑".
- Burkes_theorem thumbnail Demonstration_Burke_theorem.png?width=300.
- Burkes_theorem wikiPageID "18982351".
- Burkes_theorem wikiPageLength "5513".
- Burkes_theorem wikiPageOutDegree "22".
- Burkes_theorem wikiPageRevisionID "679298824".
- Burkes_theorem wikiPageWikiLink Bell_Labs.
- Burkes_theorem wikiPageWikiLink Category:Probability_theorems.
- Burkes_theorem wikiPageWikiLink Category:Queueing_theory.
- Burkes_theorem wikiPageWikiLink Category:Single_queueing_nodes.
- Burkes_theorem wikiPageWikiLink Detailed_balance.
- Burkes_theorem wikiPageWikiLink Heavy_traffic_approximation.
- Burkes_theorem wikiPageWikiLink J._Michael_Harrison.
- Burkes_theorem wikiPageWikiLink Kolmogorovs_criterion.
- Burkes_theorem wikiPageWikiLink 1_queue.
- Burkes_theorem wikiPageWikiLink c_queue.
- Burkes_theorem wikiPageWikiLink ∞_queue.
- Burkes_theorem wikiPageWikiLink Markovian_arrival_process.
- Burkes_theorem wikiPageWikiLink Paul_J._Burke.
- Burkes_theorem wikiPageWikiLink Poisson_point_process.
- Burkes_theorem wikiPageWikiLink Probability_theory.
- Burkes_theorem wikiPageWikiLink Queueing_theory.
- Burkes_theorem wikiPageWikiLink Theorem.
- Burkes_theorem wikiPageWikiLink Time_reversibility.
- Burkes_theorem wikiPageWikiLink File:Demonstration_Burke_theorem.png.
- Burkes_theorem wikiPageWikiLinkText "Burke".
- Burkes_theorem wikiPageWikiLinkText "Burke's theorem".
- Burkes_theorem wikiPageUsesTemplate Template:Probability-stub.
- Burkes_theorem wikiPageUsesTemplate Template:Queueing_theory.
- Burkes_theorem wikiPageUsesTemplate Template:Reflist.
- Burkes_theorem subject Category:Probability_theorems.
- Burkes_theorem subject Category:Queueing_theory.
- Burkes_theorem subject Category:Single_queueing_nodes.
- Burkes_theorem hypernym Theorem.
- Burkes_theorem type Theorem.
- Burkes_theorem comment "In queueing theory, a discipline within the mathematical theory of probability, Burke's theorem (sometimes the Burke's output theorem) is a theorem (stated and demonstrated by Paul J. Burke while working at Bell Telephone Laboratories) asserting that, for the M/M/1 queue, M/M/c queue or M/M/∞ queue in the steady state with arrivals a Poisson process with rate parameter λ: The departure process is a Poisson process with rate parameter λ.".
- Burkes_theorem label "Burke's theorem".
- Burkes_theorem sameAs Q4998912.
- Burkes_theorem sameAs m.04jl9x_.
- Burkes_theorem sameAs Q4998912.
- Burkes_theorem wasDerivedFrom Burkes_theorem?oldid=679298824.
- Burkes_theorem depiction Demonstration_Burke_theorem.png.
- Burkes_theorem isPrimaryTopicOf Burkes_theorem.