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Light-Tailed Behavior in QBD Processes with Countably Many Phases
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Light-Tailed Behavior in QBD Processes with Countably Many Phases (2009)Light-Tailed Behavior in QBD Processes wi…Tail Decay Rates in Double QBD Processes and Related Reflected Random Walks (2009)Tail Decay Rates in Double QB…Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model (2007)Geometric Decay in a QBD Proc…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…Large deviations of a modified Jackson network: Stability and rough asymptotics (2005)Large deviations of a modifie…A Retrial Queue with a Constant Retrial Rate, Server Downs and Impatient Customers (2005)A Retrial Queue with a Consta…The stationary tail asymptotics in the GI/G/1-type queue with countably many background states (2004)The stationary tail asymptoti…Spectral properties of the tandem Jackson network, seen as a quasi-birth-and-death process (2004)Spectral properties of the ta…Join the shortest queue: stability and exact asymptotics (2001)Join the shortest queue: stab…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…Asymptotics of first passage times for random walk in an orthant (1999)Asymptotics of first passage …Asymptotic results for multiplexing subexponential on-off processes (1999)Asymptotic results for multip…Two Parallel Queues Created by Arrivals with Two Demands I (1984)Two Parallel Queues Created b…Operator-geometric stationary distributions for markov chains, with application to queueing models (1982)Operator-geometric stationary…Computation of Steady-State Probabilities for M/M/1 Priority Queues (1981)Computation of Steady-State P…Two queues in parallel (1977)Two queues in parallelFundamentals of Queueing Theory. (1977)Matrix-Geometric Solutions to Stochastic Models (1984)Equilibrium distribution of block-structured Markov chains with repeating rows (1990)Introduction to Stochastic Processes (2014)Trading Time in a Congested Environment (2015)Two Similar Queues in Parallel (1961)Matrix-geometric solutions in stochastic models (1985)Rare event asymptotics for a random walk in the quarter plane (2010)The stability of a queue with non-independent inter-arrival and service times (1962)Applied Probability and Queues (1987)Markovian arrivals in stochastic modelling: a survey and some new results (2010)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Matrix-analytic methods in queuing theory (1984)Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases (1996)Stability of Parallel Queueing Systems with Coupled Service Rates (2007)The Single Server Queue (1983)The fork-join queue and related systems with synchronization constraints: stochastic ordering and computable bounds (1989)The stochastic rendezvous network model for performance of synchronous client-server-like distributed software (1995)Asymptotic enumeration methods (1996)Networks of Waiting Lines (1957)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Efficient simulation of a tandem Jackson network (2002)Analysis of multi-server systems via dimensionality reduction of markov chains (2005)Stochastic Theory of a Data-Handling System with Multiple Sources (1982)Tail probabilities for non-standard risk and queueing processes with subexponential jumps (1999)Is Network Traffic Appriximated by Stable Lévy Motion or Fractional Brownian Motion? (2002)Precise large deviations for sums of random variables with consistently varying tails (2004)Stationary distribution of a two-dimensional SRBM: geometric views and boundary measures (2013)Large Deviations For Performance Analysis (2019)J.comput. appl. math (1990)A compensation approach for two-dimensional Markov processes (1993)Scalable Load Balancing in Networked Systems: A Survey of Recent Advances (2022)
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References

  • 1984Two Parallel Queues Created by Arrivals with Two Demands I309 cited
  • 1977Two queues in parallel153 cited
  • 2001Join the shortest queue: stability and exact asymptotics145 cited
  • 1981Computation of Steady-State Probabilities for M/M/1 Priority Queues137 cited
  • 1999Asymptotic results for multiplexing subexponential on-off processes129 cited
  • 1982Operator-geometric stationary distributions for markov chains, with application to queueing models98 cited
  • 2004The stationary tail asymptotics in the GI/G/1-type queue with countably many background states74 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
  • 2001GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES55 cited
  • 2007Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model45 cited
  • 2005Large deviations of a modified Jackson network: Stability and rough asymptotics44 cited
  • 2005SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES37 cited
  • 1999Asymptotics of first passage times for random walk in an orthant

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36 cited
  • 2006Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators34 cited
  • 2005A Retrial Queue with a Constant Retrial Rate, Server Downs and Impatient Customers34 cited
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