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Triangular M/G/1-Type and Tree-Like Quasi-Birth-Death Markov Chains
12 references·3 citing·36 second hop
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References

  • 1999Introduction to Matrix Analytic Methods in Stochastic Modeling1,988 cited
  • 1991Structured Stochastic Matrices of M/G/1 Type and Their Applications.996 cited
  • 1998Combining make to order and make to stock83 cited
  • 2006Structured Markov chains solver73 cited
  • 1994Matrix product-form solutions for Markov chains with a tree structure60 cited
  • 2006Analysis of a simple Markovian re-entrant line with infinite supply of work under the LBFS policy56 cited
  • 1995A generalization of the matrix M/G/l paradigm for Markov chains with a tree structure55 cited
  • 1999The quasi-birth-death type markov chain with a tree structure46 cited
  • 1987A two-queue, one-server model with priority for the longer queue45 cited
  • 1989The Longer Queue Model31 cited
  • 2006Quasi-Birth-and-Death Processes with an Explicit Rate Matrix30 cited
  • 2002MAMSolver: A Matrix Analytic Methods Tool30 cited

Cited by

  • 2017Fitting correlated arrival and service times and related queueing performance24 cited
  • 2020EXPLICIT SOLUTIONS FOR CONTINUOUS-TIME QBD PROCESSES BY USING RELATIONS BETWEEN MATRIX GEOMETRIC ANALYSIS AND THE PROBABILITY GENERATING FUNCTIONS METHOD19 cited
  • 2014

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DES AND RES PROCESSES AND THEIR EXPLICIT SOLUTIONS
15 cited