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Operator-geometric stationary distributions for markov chains, with application to queueing models
1 references·16 citing·45 second hop
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References

  • 1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited

Cited by

  • 1996Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases89 cited
  • 2007Stability of Parallel Queueing Systems with Coupled Service Rates86 cited
  • 1984Matrix-analytic methods in queuing theory83 cited
  • 1986A general class of Markov processes with explicit matrix-geometric solutions79 cited
  • 2004Transient Analysis of Fluid Flow Models via Stochastic Coupling to a Queue79 cited
  • 2009Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks72 cited
  • 2004Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process71 cited
  • 2010Markovian arrivals in stochastic modelling: a survey and some new results70 cited
  • 1990The semi-markovian queue: theory and applications63 cited
  • 1994Matrix product-form solutions for Markov chains with a tree structure60 cited
  • 2003Vacation models in discrete time59 cited
  • 2003Vacation models in discrete time54 cited
  • 1985Stationary waiting time distribution in queues with phase type service and in quasi-birth-and-death processes54 cited

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  • 2002Discrete time queues and matrix-analytic methods46 cited
  • 2005Steady State Analysis of Finite Fluid Flow Models Using Finite QBDs36 cited
  • 2006Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators34 cited