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SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES
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SUFFICIENT CONDITIONS FOR A GEOMETRIC TAIL IN A QBD PROCESS WITH MANY COUNTABLE LEVELS AND PHASES (2005)SUFFICIENT CONDITIONS FOR A GEOMETRIC TAI…The stationary tail asymptotics in the GI/G/1-type queue with countably many background states (2004)The stationary tail asymptoti…Queueing Models with Multiple Waiting Lines (2001)Queueing Models with Multiple…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…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…Computation of Steady-State Probabilities for M/M/1 Priority Queues (1981)Computation of Steady-State P…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…Tail Asymptotics of the Occupation Measure for a Markov Additive Process with anM/G/1-Type Background Process (2010)Tail Asymptotics of the Occup…Exact tail asymptotics in a priority queue—characterizations of the preemptive model (2009)Exact tail asymptotics in a p…Stationary tail asymptotics of a tandem queue with feedback (2007)Stationary tail asymptotics o…A tandem network with MAP inputs (2007)A tandem network with MAP inp…Decay rates for quasi-birth-and-death processes with countably many phases and tridiagonal block generators (2006)Decay rates for quasi-birth-a…A Retrial Queue with a Constant Retrial Rate, Server Downs and Impatient Customers (2005)A Retrial Queue with a Consta…Fundamentals of Queueing Theory. (1977)Equilibrium distribution of block-structured Markov chains with repeating rows (1990)Introduction to Stochastic Processes (2014)Trading Time in a Congested Environment (2015)A logarithmic reduction algorithm for quasi-birth-death processes (1993)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)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)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)The stability of a queue with non-independent inter-arrival and service times (1962)Applied Probability and Queues (1987)Light tail asymptotics in multidimensional reflecting processes for queueing networks (2011)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)Stochastic Modeling and the Theory of Queues (1989)A video method for empirically studying wait‐perception bias (2006)Power series approximations for two-class generalized processor sharing systems (2010)Steady-state analysis of shortest expected delay routing (2016)Two queues in parallel (1977)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)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

  • 1984Matrix-Geometric Solutions to Stochastic Models1,706 cited
  • 1985Matrix-geometric solutions in stochastic models871 cited
  • 1984Two Parallel Queues Created by Arrivals with Two Demands I309 cited
  • 2001Join the shortest queue: stability and exact asymptotics145 cited
  • 1981Computation of Steady-State Probabilities for M/M/1 Priority Queues137 cited
  • 1996Some properties of the rate perators in level dependent uasi-birth-and-death processes with countable number of phases89 cited
  • 2004The stationary tail asymptotics in the GI/G/1-type queue with countably many background states74 cited
  • 2001Queueing Models with Multiple Waiting Lines60 cited
  • 2001GEOMETRIC DECAY OF THE STEADY-STATE PROBABILITIES IN A QUASI-BIRTH-AND-DEATH PROCESS WITH A COUNTABLE NUMBER OF PHASES55 cited

Cited by

  • 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
  • 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 process24 cited
  • 2007A tandem network with MAP inputs

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23 cited
  • 2007Stationary tail asymptotics of a tandem queue with feedback18 cited
  • 2017Matrix geometric approach for random walks: Stability condition and equilibrium distribution13 cited
  • 2010Tail Asymptotics of the Occupation Measure for a Markov Additive Process with anM/G/1-Type Background Process12 cited