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Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases
7 references·16 citing·37 second hop
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 perators in l…Introduction to Stochastic Processes (2014)Introduction to Stochastic Pr…Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes (1995)Calculating the equilibrium d…The transient BMAP/G/l queue (1994)The transient BMAP/G/l queueA logarithmic reduction algorithm for quasi-birth-death processes (1993)A logarithmic reduction algor…A duality theorem for the matrix paradigms in queueing theory (1990)A duality theorem for the mat…Matrix-Geometric Solutions to Stochastic Models (1984)Matrix-Geometric Solutions to…Operator-geometric stationary distributions for markov chains, with application to queueing models (1982)Operator-geometric stationary…Exact solutions for M/M/c/Setup queues (2016)Exact solutions for M/M/c/Set…Performance analysis of call centers with abandonment, retrial and after-call work (2014)Performance analysis of call …Applications in Queueing Theory (2013)Applications in Queueing Theo…Markovian arrivals in stochastic modelling: a survey and some new results (2010)Markovian arrivals in stochas…A simple algorithm for the rate matrices of level-dependent QBD processes (2010)A simple algorithm for the ra…Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks (2009)Tail Decay Rates in Double QB…Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators (2006)Decay rates for quasi-birth-a…SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES (2005)SUFFICIENT CONDITIONS FOR A G…Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process (2004)Spectral properties of the ta…Vacation models in discrete time (2003)Vacation models in discrete t…Vacation models in discrete time (2003)Vacation models in discrete t…GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES (2001)GEOMETRIC DECAY OF THE STEADY…Performance measures of a make-to-order inventory-production system (2000)Performance measures of a mak…Discrete time analysis of MAP/PH/1 vacation queue with gated time‐limited service (1998)Discrete time analysis of MAP…A trade off between emergency repair and inventory investment (1998)A trade off between emergency…An operator analytic approach to product-farm networks (1996)An operator analytic approach…Introduction to the Theory of Queues. (1963)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)The N/G/1 queue and its detailed analysis (1980)Probabilistic interpretations of some duality results for the matrix paradigms in queueing theory (1990)Fluid Flow Models and Queues—A Connection by Stochastic Coupling (2003)Phase-type distributions and representations: Some results and open problems for system theory (2003)A Markov Modulated Characterization of Packetized Voice and Data Traffic and Related Statistical Multiplexer Performance (1986)New results on the single server queue with a batch markovian arrival process (1991)Computing distributions and moments in polling models by numerical transform inversion (1996)A BMAP/G/1 Retrial Queue with a Server Subject to Breakdowns and Repairs (2006)Comparison Methods for Queues and Other Stochastic Models. 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this work references cited by second hop

References

  • 2014Introduction to Stochastic Processes2,383 cited
  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1993A logarithmic reduction algorithm for quasi-birth-death processes391 cited
  • 1995Calculating the equilibrium distribution in level dependent quasi-birth-and-death processes259 cited
  • 1994The transient BMAP/G/l queue101 cited
  • 1982Operator-geometric stationary distributions for markov chains, with application to queueing models98 cited
  • 1990A duality theorem for the matrix paradigms in queueing theory90 cited

Cited by

  • 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
  • 2010A simple algorithm for the rate matrices of level-dependent QBD processes68 cited
  • 2003Vacation models in discrete time59 cited
  • 2016Exact solutions for M/M/c/Setup queues58 cited
  • 2001GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES55 cited
  • 2003

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Vacation models in discrete time
54 cited
  • 2005SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES37 cited
  • 1998A trade off between emergency repair and inventory investment34 cited
  • 2014Performance analysis of call centers with abandonment, retrial and after-call work34 cited
  • 2006Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators34 cited
  • 2000Performance measures of a make-to-order inventory-production system34 cited
  • 1996An operator analytic approach to product-farm networks28 cited
  • 2013Applications in Queueing Theory26 cited
  • 1998Discrete time analysis of MAP/PH/1 vacation queue with gated time‐limited service24 cited