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- Arrival_theorem abstract "In queueing theory, a discipline within the mathematical theory of probability, the arrival theorem (also referred to as the random observer property, ROP or job observer property) states that \"upon arrival at a station, a job observes the system as if in steady state at an arbitrary instant for the system without that job.\"The arrival theorem always holds in open product-form networks with unbounded queues at each node, but it also holds in more general networks. A necessary and sufficient condition for the arrival theorem to be satisfied in product-form networks is given in terms of Palm probabilities in Boucherie & Dijk, 1997. A similar result also holds in some closed networks. Examples of product-form networks where the arrival theorem does not hold include reversible Kingman networks and networks with a delay protocol.Mitrani offers the intuition that \"The state of node i as seen by an incoming job has a different distribution from the state seen by a random observer. For instance, an incoming job can never see all 'k jobs present at node i, because it itself cannot be among the jobs already present.\"".
- Arrival_theorem wikiPageID "21257247".
- Arrival_theorem wikiPageLength "6969".
- Arrival_theorem wikiPageOutDegree "13".
- Arrival_theorem wikiPageRevisionID "679299535".
- Arrival_theorem wikiPageWikiLink Category:Probability_theorems.
- Arrival_theorem wikiPageWikiLink Category:Queueing_theory.
- Arrival_theorem wikiPageWikiLink Category:Stochastic_processes.
- Arrival_theorem wikiPageWikiLink Cox_process.
- Arrival_theorem wikiPageWikiLink Gordon–Newell_theorem.
- Arrival_theorem wikiPageWikiLink Jackson_network.
- Arrival_theorem wikiPageWikiLink Mean_value_analysis.
- Arrival_theorem wikiPageWikiLink Palm_calculus.
- Arrival_theorem wikiPageWikiLink Poisson_point_process.
- Arrival_theorem wikiPageWikiLink Probability_theory.
- Arrival_theorem wikiPageWikiLink Product-form_solution.
- Arrival_theorem wikiPageWikiLink Queueing_theory.
- Arrival_theorem wikiPageWikiLinkText "Arrival theorem".
- Arrival_theorem wikiPageWikiLinkText "arrival theorem".
- Arrival_theorem wikiPageUsesTemplate Template:Queueing_theory.
- Arrival_theorem wikiPageUsesTemplate Template:Reflist.
- Arrival_theorem subject Category:Probability_theorems.
- Arrival_theorem subject Category:Queueing_theory.
- Arrival_theorem subject Category:Stochastic_processes.
- Arrival_theorem type Type.
- Arrival_theorem type Process.
- Arrival_theorem type Theorem.
- Arrival_theorem type Type.
- Arrival_theorem comment "In queueing theory, a discipline within the mathematical theory of probability, the arrival theorem (also referred to as the random observer property, ROP or job observer property) states that \"upon arrival at a station, a job observes the system as if in steady state at an arbitrary instant for the system without that job.\"The arrival theorem always holds in open product-form networks with unbounded queues at each node, but it also holds in more general networks.".
- Arrival_theorem label "Arrival theorem".
- Arrival_theorem sameAs Q283690.
- Arrival_theorem sameAs PASTA-eigenschap.
- Arrival_theorem sameAs m.05c45_8.
- Arrival_theorem sameAs Q283690.
- Arrival_theorem wasDerivedFrom Arrival_theorem?oldid=679299535.
- Arrival_theorem isPrimaryTopicOf Arrival_theorem.