This HTML5 document contains 84 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
dbohttp://dbpedia.org/ontology/
foafhttp://xmlns.com/foaf/0.1/
n17https://global.dbpedia.org/id/
yagohttp://dbpedia.org/class/yago/
dbthttp://dbpedia.org/resource/Template:
rdfshttp://www.w3.org/2000/01/rdf-schema#
freebasehttp://rdf.freebase.com/ns/
n11http://dbpedia.org/resource/M/M/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
owlhttp://www.w3.org/2002/07/owl#
wikipedia-enhttp://en.wikipedia.org/wiki/
dbphttp://dbpedia.org/property/
dbchttp://dbpedia.org/resource/Category:
provhttp://www.w3.org/ns/prov#
xsdhhttp://www.w3.org/2001/XMLSchema#
wikidatahttp://www.wikidata.org/entity/
dbrhttp://dbpedia.org/resource/

Statements

Subject Item
dbr:Product-form_solution
rdf:type
yago:Idea105833840 yago:Content105809192 yago:PsychologicalFeature100023100 yago:Cognition100023271 yago:Hypothesis105888929 yago:Concept105835747 yago:WikicatStochasticProcesses yago:Abstraction100002137 yago:Model105890249 yago:StochasticProcess113561896
rdfs:label
Product-form solution
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
dcterms:subject
dbc:Queueing_theory
dbo:wikiPageID
21254527
dbo:wikiPageRevisionID
1093883627
dbo:wikiPageWikiLink
dbr:Equilibrium_distribution dbr:Local_balance dbr:Stochastic dbr:Jackson's_theorem_(queueing_theory) dbr:Markov_chain dbr:Product_(mathematics) dbr:Independence_(probability_theory) dbr:Queueing_theory dbr:Random_neural_network dbr:RCAT n11:1_queue dbr:Performance_metric dbr:PEPA dbr:BCMP_network dbr:Gordon–Newell_network dbr:Bulk_queue dbc:Queueing_theory dbr:Probability_theory dbr:Petri_nets dbr:Chemical_reaction_network dbr:Capital_Pi_notation dbr:J._Michael_Harrison dbr:Jackson_network dbr:Ruth_J._Williams dbr:G-network dbr:Martin_Feinberg dbr:Erol_Gelenbe
owl:sameAs
wikidata:Q7247727 freebase:m.05c0rz9 n17:4tdzM
dbp:wikiPageUsesTemplate
dbt:Use_American_English dbt:Queueing_theory dbt:Reflist dbt:Short_description
dbo: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.
prov:wasDerivedFrom
wikipedia-en:Product-form_solution?oldid=1093883627&ns=0
dbo:wikiPageLength
16642
foaf:isPrimaryTopicOf
wikipedia-en:Product-form_solution
Subject Item
dbr:Peter_G._Harrison
dbo:wikiPageWikiLink
dbr:Product-form_solution
Subject Item
dbr:Product–form_solution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Balance_equation
dbo:wikiPageWikiLink
dbr:Product-form_solution
Subject Item
dbr:Jackson_network
dbo:wikiPageWikiLink
dbr:Product-form_solution
Subject Item
dbr:Arrival_theorem
dbo:wikiPageWikiLink
dbr:Product-form_solution
Subject Item
dbr:BCMP_network
dbo:wikiPageWikiLink
dbr:Product-form_solution
Subject Item
dbr:Catalog_of_articles_in_probability_theory
dbo:wikiPageWikiLink
dbr:Product-form_solution
Subject Item
dbr:Independent_in_equilibrium
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Quasi-product_form_solution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product-form_stationary_distribution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product_form
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product_form_equilibrium_distribution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product_form_network
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product_form_queueing_network
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product_form_solution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product_form_stationary_distribution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Product–form_stationary_distribution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
dbr:Semi-product_form_solution
dbo:wikiPageWikiLink
dbr:Product-form_solution
dbo:wikiPageRedirects
dbr:Product-form_solution
Subject Item
wikipedia-en:Product-form_solution
foaf:primaryTopic
dbr:Product-form_solution