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Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators
12 references·5 citing·36 second hop
Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators (2006)Decay rates for quasi-birth-and-death pro…SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES (2005)SUFFICIENT CONDITIONS FOR A G…Light-tailed asymptotics of stationary probability vectors of Markov chains of GI/G/1 type (2005)Light-tailed asymptotics of s…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…Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Introduction to Matrix Analyt…Spectral analysis ofM/G/1 andG/M/1 type Markov chains (1996)Spectral analysis ofM/G/1 and…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…Matrix-geometric solutions in stochastic models (1985)Matrix-geometric solutions in…Two Parallel Queues Created by Arrivals with Two Demands I (1984)Two Parallel Queues Created b…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…Matrix geometric approach for random walks: Stability condition and equilibrium distribution (2017)Matrix geometric approach for…Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process (2012)Asymptotics for the stationar…Light-Tailed Behavior in QBD Processes with Countably Many Phases (2009)Light-Tailed Behavior in QBD …Exact tail asymptotics in a priority queue—characterizations of the preemptive model (2009)Exact tail asymptotics in a p…A tandem network with MAP inputs (2007)A tandem network with MAP inp…A logarithmic reduction algorithm for quasi-birth-death processes (1993)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)Two Similar Queues in Parallel (1961)Geometric Decay in a QBD Process with Countable Background States with Applications to a Join-the-Shortest-Queue Model (2007)Rare event asymptotics for a random walk in the quarter plane (2010)Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector (1978)Matrix-analytic methods in queuing theory (1984)Stability of Parallel Queueing Systems with Coupled Service Rates (2007)Applied Probability and Queues (1987)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Analysis of multiserver queues with constant retrial rate (2001)A Retrial BMAP/PH/N System (2002)Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory (2006)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)Order-Fulfillment Performance Measures in an Assemble-to-Order System with Stochastic Leadtimes (1999)Networks of Waiting Lines (1957)Efficient simulation of a tandem Jackson network (2002)Analysis of multi-server systems via dimensionality reduction of markov chains (2005)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)Two queues in parallel (1977)The stationary tail asymptotics in the GI/G/1-type queue with countably many background states (2004)Large Deviations For Performance Analysis (2019)Scalable Load Balancing in Networked Systems: A Survey of Recent Advances (2022)Stochastic theory of a fluid model of producers and consumers coupled by a buffer (1988)Inventory Control in a Fluctuating Demand Environment (1993)To Queue or Not to Queue: Equilibrium Behavior in Queueing Systems (2003)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)Models for analysis of packet voice communications systems (1986)Risk theory in a Markovian environment (1989)Russian and American put options under exponential phase-type Lévy models (2003)
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References

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  • 1985Matrix-geometric solutions in stochastic models871 cited
  • 1984Two Parallel Queues Created by Arrivals with Two Demands I309 cited
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  • 2005SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES37 cited

Cited by

  • 2009Exact tail asymptotics in a priority queue—characterizations of the preemptive model29 cited
  • 2012Asymptotics for the stationary distribution in a discrete-time two-dimensional quasi-birth-and-death process

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24 cited
  • 2007A tandem network with MAP inputs23 cited
  • 2017Matrix geometric approach for random walks: Stability condition and equilibrium distribution13 cited
  • 2009Light-Tailed Behavior in QBD Processes with Countably Many Phases11 cited