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Transient queue length and busy period of the BMAP/PH/1 queue

Bruno Sericola 1
1 MODEL - Modeling Random Systems
IRISA - Institut de Recherche en Informatique et Systèmes Aléatoires, INRIA Rennes
Abstract : We derive in this paper the transient queue length and the busy period distributions in the single server queue with phase-type (PH) services times and a batch Markovian arrival process (BMAP). These distributions are obtained by the uniformization technique which gives simple recurrence relations. The main advantage of this technique is that it leads to stable algorithms for which the precision of the result can be given in advance.
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Submitted on : Wednesday, May 24, 2006 - 2:22:39 PM
Last modification on : Friday, February 4, 2022 - 3:23:21 AM
Long-term archiving on: : Monday, April 5, 2010 - 12:03:53 AM


  • HAL Id : inria-00074044, version 1


Bruno Sericola. Transient queue length and busy period of the BMAP/PH/1 queue. [Research Report] RR-2646, INRIA. 1995. ⟨inria-00074044⟩



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