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- G-network abstract "In queueing theory, a discipline within the mathematical theory of probability, a G-network (generalized queueing network or Gelenbe network) is an open network of G-queues first introduced by Erol Gelenbe as a model for queueing systems with specific control functions, such as traffic re-routing or traffic destruction, as well as a model for neural networks. A G-queue is a network of queues with several types of novel and useful customers:positive customers, which arrive from other queues or arrive externally as Poisson arrivals, and obey standard service and routing disciplines as in conventional network models,negative customers, which arrive from another queue, or which arrive externally as Poisson arrivals, and remove (or 'kill') customers in a non-empty queue, representing the need to remove traffic when the network is congested, including the removal of \"batches\" of customers \"triggers\", which arrive from other queues or from outside the network, and which displace customers and move them to other queuesA product form solution superficially similar in form to Jackson's theorem, but which requires the solution of a system of non-linear equations for the traffic flows, exists for the stationary distribution of G-networks while the traffic equations of a G-network are in fact surprisingly non-linear, and the model does not obey partial balance. This broke previous assumptions that partial balance was a necessary condition for a product form solution. A powerful property of G-networks is that they are universal approximators for continuous and bounded functions, so that they can be used to approximate quite general input-output behaviours.".
- G-network wikiPageID "10046651".
- G-network wikiPageLength "9033".
- G-network wikiPageOutDegree "12".
- G-network wikiPageRevisionID "679294725".
- G-network wikiPageWikiLink Artificial_neural_network.
- G-network wikiPageWikiLink Balance_equation.
- G-network wikiPageWikiLink Category:Queueing_theory.
- G-network wikiPageWikiLink Category:Stochastic_processes.
- G-network wikiPageWikiLink Erol_Gelenbe.
- G-network wikiPageWikiLink First-come,_first-served.
- G-network wikiPageWikiLink Jackson_network.
- G-network wikiPageWikiLink Laplace_transform.
- G-network wikiPageWikiLink Poisson_point_process.
- G-network wikiPageWikiLink Probability_theory.
- G-network wikiPageWikiLink Product-form_solution.
- G-network wikiPageWikiLink Queueing_theory.
- G-network wikiPageWikiLinkText "G-network".
- G-network wikiPageUsesTemplate Template:About.
- G-network wikiPageUsesTemplate Template:EquationNote.
- G-network wikiPageUsesTemplate Template:EquationRef.
- G-network wikiPageUsesTemplate Template:No_footnotes.
- G-network wikiPageUsesTemplate Template:NumBlk.
- G-network wikiPageUsesTemplate Template:Queueing_theory.
- G-network wikiPageUsesTemplate Template:Reflist.
- G-network wikiPageUsesTemplate Template:Stochastic_processes.
- G-network subject Category:Queueing_theory.
- G-network subject Category:Stochastic_processes.
- G-network hypernym Network.
- G-network type Broadcaster.
- G-network type Type.
- G-network type Process.
- G-network type Redirect.
- G-network type Type.
- G-network comment "In queueing theory, a discipline within the mathematical theory of probability, a G-network (generalized queueing network or Gelenbe network) is an open network of G-queues first introduced by Erol Gelenbe as a model for queueing systems with specific control functions, such as traffic re-routing or traffic destruction, as well as a model for neural networks.".
- G-network label "G-network".
- G-network sameAs Q5511950.
- G-network sameAs m.02q003r.
- G-network sameAs Q5511950.
- G-network wasDerivedFrom G-network?oldid=679294725.
- G-network isPrimaryTopicOf G-network.