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Level‐Dependent Quasi‐Birth‐and‐Death Processes
16 references·1 citing·33 second hop
Level‐Dependent Quasi‐Birth‐and‐Death Processes (2011)Level‐Dependent Quasi‐Birth‐and‐Death Pro…Fluid queues with level dependent evolution (2008)Fluid queues with level depen…Performance measures of a multi-layer Markovian fluid model (2007)Performance measures of a mul…Structured Markov chains solver (2006)Structured Markov chains solv…A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs (2006)A BMAP/G/1 Retrial Queue with…Efficient algorithms for transient analysis of stochastic fluid flow models (2005)Efficient algorithms for tran…Vacation models in discrete time (2003)Vacation models in discrete t…Vacation models in discrete time (2003)Vacation models in discrete t…A Retrial BMAP/PH/N System (2002)A Retrial BMAP/PH/N SystemMatrix analytic methods for stochastic fluid flows (1999)Matrix analytic methods for s…Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases (1996)Some properties of the rate p…Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Calculating the equilibrium d…Folding algorithm: a computational method for finite QBD processes with level-dependent transitions (1994)Folding algorithm: a computat…A logarithmic reduction algorithm for quasi-birth-death processes (1993)A logarithmic reduction algor…Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Structured Stochastic Matrice…The M/M/1 Queue with Randomly Varying Arrival and Service Rates. (1977)The M/M/1 Queue with Randomly…Tandem queues with impatient customers (2019)Tandem queues with impatient …New results on the single server queue with a batch markovian arrival process (1991)Retrial Queues (1997)Queueing systems with correlated arrival flows and their applications to modeling telecommunication networks (2017)Retrial multi-server queuing system with PHF service time distribution as a model of a channel with unreliable transmission of information (2018)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Matrix-Geometric Solutions to Stochastic Models (1984)Fluid Flow Models and Queues—A Connection by Stochastic Coupling (2003)Matrix-analytic methods for fluid queues with finite buffers (2005)Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process (2004)Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks (2009)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Introduction to Stochastic Processes (2014)Comparison Methods for Queues and Other Stochastic Models. (1986)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)A survey on inventory models with positive service time (2011)Matrix-geometric solutions in stochastic models (1985)Models for analysis of packet voice communications systems (1986)On the convergence of traffic measurement and queueing analysis: a statistical-matching and queueing (SMAQ) tool (1997)On the convergence of traffic measurement and queueing analysis: a Statistical-MAtch Queueing (SMAQ) tool (2002)A simple algorithm for the rate matrices of level-dependent QBD processes (2010)Queues with paired customers (1981)N parallel queueing systems with server breakdown and repair (1995)The UnreliableM/M/1 Retrial Queue in a Random Environment (2012)Passage Times in Fluid Models with Application to Risk Processes (2006)Time dependent analysis of finite buffer fluid flows and risk models with a dividend barrier (2007)Dependent Risk Models with Bivariate Phase-Type Distributions (2009)The Batch Markovian Arrival Process: A Review and Future Work (2001)Telephone Call Centers: Tutorial, Review, and Research Prospects (2003)Fundamentals of Matrix-Analytic Methods (2013)Spectral analysis ofM/G/1 andG/M/1 type Markov chains (1996)Risk theory in a Markovian environment (1989)A single-server queue with server vacations and a class of non-renewal arrival processes (1990)The Markov-modulated Poisson process (MMPP) cookbook (1993)
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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
  • 1993A logarithmic reduction algorithm for quasi-birth-death processes391 cited
  • 1995Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes259 cited
  • 1999Matrix analytic methods for stochastic fluid flows136 cited
  • 1994Folding algorithm: a computational method for finite QBD processes with level-dependent transitions115 cited
  • 2002A Retrial BMAP/PH/N System106 cited
  • 2005Efficient algorithms for transient analysis of stochastic fluid flow models89 cited
  • 1996Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases89 cited
  • 1977The M/M/1 Queue with Randomly Varying Arrival and Service Rates.78 cited
  • 2006Structured Markov chains solver73 cited
  • 2003Vacation models in discrete time59 cited
  • 2008Fluid queues with level dependent evolution57 cited
  • 2006A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs55 cited
  • 2003Vacation models in discrete time54 cited

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  • 2007Performance measures of a multi-layer Markovian fluid model43 cited
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    • 2019Tandem queues with impatient customers18 cited