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Rapport (Rapport De Recherche) Année : 2001

Stationary Solution to the Fluid Queue Fed by an M/M/1 Queue

Nelly Barbot
Bruno Sericola

Résumé

We consider an infinite capacity buffer receiving fluid at a rate depending on the state of an M/M/1 queue. We obtain a new analytic expression for the joint stationary distribution of the buffer level and the state of the M/M/1 queue. This expression is obtained by the use of generating functions which are explicitly inverted. The case of a finite capacity fluid queue is also considered.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00072306 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00072306 , version 1

Citer

Nelly Barbot, Bruno Sericola. Stationary Solution to the Fluid Queue Fed by an M/M/1 Queue. [Research Report] RR-4281, INRIA. 2001. ⟨inria-00072306⟩
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