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Statements

Subject Item
dbr:Peter_G._Harrison
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dbr:Reversed_compound_agent_theorem
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dbr:PEPA
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Subject Item
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rdfs:label
Reversed compound agent theorem
rdfs:comment
In probability theory, the reversed compound agent theorem (RCAT) is a set of sufficient conditions for a stochastic process expressed in any formalism to have a product form stationary distribution (assuming that the process is stationary). The theorem shows that product form solutions in Jackson's theorem, the BCMP theorem and G-networks are based on the same fundamental mechanisms. The theorem identifies a reversed process using Kelly's lemma, from which the stationary distribution can be computed.
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In probability theory, the reversed compound agent theorem (RCAT) is a set of sufficient conditions for a stochastic process expressed in any formalism to have a product form stationary distribution (assuming that the process is stationary). The theorem shows that product form solutions in Jackson's theorem, the BCMP theorem and G-networks are based on the same fundamental mechanisms. The theorem identifies a reversed process using Kelly's lemma, from which the stationary distribution can be computed.
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