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A CONSTRUCTIVE METHOD FOR FINDING β-INVARIANT MEASURES FOR TRANSITION MATRICES OF M/G/1 TYPE
8 references·8 citing·34 second hop
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this work references cited by second hop

References

  • 2014Introduction to Stochastic Processes2,383 cited
  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1990A duality theorem for the matrix paradigms in queueing theory90 cited
  • 1990Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory58 cited
  • 1993Algorithms for Infinite Markov Chains with Repeating Columns56 cited
  • 1998Matrix-geometric invariant measures for G/M/l type Markov chains43 cited
  • 2002Analytic Methods in Applied Probability32 cited
  • 1998Invariant measures for quasi-birth-and-death processes31 cited

Cited by

  • 2005Heavy-tailed asymptotics of stationary probability vectors of Markov chains of gi/g/1 type26 cited
  • 2012Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process24 cited
  • 2009On the BMAP/G/1 G-queues with second optional service and multiple vacations23 cited
  • 2016An algorithmic analysis of the BMAP/MSP/1 generalized processor-sharing queue19 cited
  • 2007Stationary tail asymptotics of a tandem queue with feedback18 cited
  • 2007Performance analysis of two-loop closed production systems18 cited
  • 2015

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A superharmonic vector for a nonnegative matrix with QBD block structure and its application to a Markov-modulated two-dimensional reflecting process
18 cited
  • 2004Non-skip-free M/G/1-type Markov chains and Laurent matrix power series17 cited