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In probability theory, a product-form solution is a particularly efficient form of solution for determining some metric of a system with distinct sub-components, where the metric for the collection of components can be written as a product of the metric across the different components. Using capital Pi notation a product-form solution has algebraic form

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rdfs:label	Product-form solution (en)
rdfs:comment	In probability theory, a product-form solution is a particularly efficient form of solution for determining some metric of a system with distinct sub-components, where the metric for the collection of components can be written as a product of the metric across the different components. Using capital Pi notation a product-form solution has algebraic form (en)
dcterms:subject	Queueing theory
Wikipage page ID	21254527 (xsd:integer)
Wikipage revision ID	1093883627 (xsd:integer)
Link from a Wikipage to another Wikipage	M/M/1 queue Capital Pi notation Ruth J. Williams G-network Stochastic PEPA Erol Gelenbe Equilibrium distribution Probability theory Product (mathematics) Queueing theory Random neural network J. Michael Harrison Queueing theory Jackson network BCMP network Martin Feinberg Bulk queue Independence (probability theory) RCAT Chemical reaction network Markov chain Performance metric Petri nets Jackson's theorem (queueing theory) Gordon–Newell network Local balance
sameAs	Product-form solution Product-form solution Product-form solution
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description dbt:Use_American_English dbt:Queueing_theory
has abstract	In probability theory, a product-form solution is a particularly efficient form of solution for determining some metric of a system with distinct sub-components, where the metric for the collection of components can be written as a product of the metric across the different components. Using capital Pi notation a product-form solution has algebraic form where B is some constant. Solutions of this form are of interest as they are computationally inexpensive to evaluate for large values of n. Such solutions in queueing networks are important for finding performance metrics in models of multiprogrammed and time-shared computer systems. (en)
prov:wasDerivedFrom	wikipedia-en:Product-form_solution?oldid=1093883627&ns=0
page length (characters) of wiki page	16642 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Product-form_solution
is Link from a Wikipage to another Wikipage of	Peter G. Harrison Product–form solution Balance equation Jackson network Arrival theorem BCMP network Catalog of articles in probability theory Independent in equilibrium Quasi-product form solution Product-form stationary distribution Product form Product form equilibrium distribution Product form network Product form queueing network Product form solution Product form stationary distribution Product–form stationary distribution Semi-product form solution
is Wikipage redirect of	Product–form solution Independent in equilibrium Quasi-product form solution Product-form stationary distribution Product form Product form equilibrium distribution Product form network Product form queueing network Product form solution Product form stationary distribution Product–form stationary distribution Semi-product form solution
is foaf:primaryTopic of	wikipedia-en:Product-form_solution

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