Exploiting restricted transitions in Quasi-Birth-and-Death processes

Juan F. Pérez, Benny Van Houdt

Producción científica: Contribución a una conferenciaArtículorevisión exhaustiva

2 Citas (Scopus)


In this paper we consider Quasi-Birth-and-Death (QBD) processes where the upward (resp. downward) transitions are restricted to occur only from (resp. to) a subset of the phase space. This property is exploited to reduce the computation time to find the matrix R or G of the process. The reduction is done through the definition of a censored process which can be of the M/G/1- or GI/M/1-type. The approach is illustrated through examples that show the applicability and benefits of making use of the additional structure. The examples also show how these special structures arise naturally in the analysis of queuing systems. Even more substantial gains can be realized when we further restrict the class of QBD processes under consideration.

Idioma originalInglés estadounidense
Número de páginas10
EstadoPublicada - oct. 23 2009
Publicado de forma externa
EventoQEST - 6th International Conference on the Quantitative Evaluation of Systems - Budapest, Hungría
Duración: sep. 13 2009sep. 16 2009


ConferenciaQEST - 6th International Conference on the Quantitative Evaluation of Systems

Áreas temáticas de ASJC Scopus

  • Redes de ordenadores y comunicaciones
  • Ingeniería de control y sistemas
  • Ingeniería eléctrica y electrónica

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