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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 wikiPageRevisionID "575496850".
- Arrival_theorem hasPhotoCollection Arrival_theorem.
- Arrival_theorem subject Category:Probability_theorems.
- Arrival_theorem subject Category:Queueing_theory.
- Arrival_theorem subject Category:Stochastic_processes.
- Arrival_theorem type Abstraction100002137.
- Arrival_theorem type Cognition100023271.
- Arrival_theorem type Communication100033020.
- Arrival_theorem type Concept105835747.
- Arrival_theorem type Content105809192.
- Arrival_theorem type Hypothesis105888929.
- Arrival_theorem type Idea105833840.
- Arrival_theorem type Message106598915.
- Arrival_theorem type Model105890249.
- Arrival_theorem type ProbabilityTheorems.
- Arrival_theorem type Proposition106750804.
- Arrival_theorem type PsychologicalFeature100023100.
- Arrival_theorem type Statement106722453.
- Arrival_theorem type StochasticProcess113561896.
- Arrival_theorem type StochasticProcesses.
- Arrival_theorem type Theorem106752293.
- 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 label "PASTA-eigenschap".
- Arrival_theorem sameAs PASTA-eigenschap.
- Arrival_theorem sameAs m.05c45_8.
- Arrival_theorem sameAs Q283690.
- Arrival_theorem sameAs Q283690.
- Arrival_theorem sameAs Arrival_theorem.
- Arrival_theorem wasDerivedFrom Arrival_theorem?oldid=575496850.
- Arrival_theorem isPrimaryTopicOf Arrival_theorem.