One-dimensional Loss Networks And Conditioned M/g/∞ Queues

dc.creatorFerrari P.A.
dc.creatorGarcia N.L.
dc.date1998
dc.date2015-06-30T15:07:56Z
dc.date2015-11-26T15:20:55Z
dc.date2015-06-30T15:07:56Z
dc.date2015-11-26T15:20:55Z
dc.date.accessioned2018-03-28T22:30:27Z
dc.date.available2018-03-28T22:30:27Z
dc.identifier
dc.identifierJournal Of Applied Probability. , v. 35, n. 4, p. 963 - 975, 1998.
dc.identifier219002
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0000414621&partnerID=40&md5=8be09deda847220f246dec6e0bab4429
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/100804
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/100804
dc.identifier2-s2.0-0000414621
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1260104
dc.descriptionWe study one-dimensional continuous loss networks with length distribution G and cable capacity C. We prove that the unique stationary distribution ηL of the network for which the restriction on the number of calls to be less than C is imposed only in the segment [-L, L] is the same as the distribution of a stationary M/G/∞ queue conditioned to be less than C in the time interval [-L, L]. For distributions G which are of phase type (= absorbing times of finite state Markov processes) we show that the limit as L → ∞ of ηL exists and is unique. The limiting distribution turns out to be invariant for the infinite loss network. This was conjectured by Kelly (1991).
dc.description35
dc.description4
dc.description963
dc.description975
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dc.languageen
dc.publisher
dc.relationJournal of Applied Probability
dc.rightsfechado
dc.sourceScopus
dc.titleOne-dimensional Loss Networks And Conditioned M/g/∞ Queues
dc.typeArtículos de revistas


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