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Perturbation bounds and truncations for a class of Markovian queues
3 references·7 citing·26 second hop
Perturbation bounds and truncations for a class of Markovian queues (2014)Perturbation bounds and truncations for a…Perturbation Bounds forMt/Mt/NQueue with Catastrophes (2012)Perturbation Bounds forMt/Mt/…Some universal limits for nonhomogeneous birth and death processes (2006)Some universal limits for non…Nonstationary Queues: Estimation of the Rate of Convergence (2004)Nonstationary Queues: Estimat…Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains (2020)Two Approaches to the Constru…Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains (2020)Two Approaches to the Constru…On limiting characteristics for a non-stationary two-processor heterogeneous system (2019)On limiting characteristics f…Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services (2018)Bounds on the rate of converg…MX/M/c Queue with catastrophes and state-dependent control at idle time (2017)MX/M/c Queue with catastrophe…ERROR BOUNDS FOR LAST-COLUMN-BLOCK-AUGMENTED TRUNCATIONS OF BLOCK-STRUCTURED MARKOV CHAINS (2017)ERROR BOUNDS FOR LAST-COLUMN-…Continuous-time block-monotone Markov chains and their block-augmented truncations (2016)Continuous-time block-monoton…A BMAP/SM/1 queueing system with Markovian arrival input of disasters (1999)A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation (2018)Mitigating long queues and waiting times with service resetting (2022)A Closure Approximation for the Nonstationary M / M / s Queue (1979)Some Effects of Nonstationarity on Multiserver Markovian Queueing Systems (1991)Strong Approximations for Time-Dependent Queues (1995)Large-time asymptotics for the G t /M t /s t +GI t many-server fluid queue with abandonment (2011)On truncations for weakly ergodic inhomogeneous birth and death processes (2014)An Analysis of the Modified Offered-Load Approximation for the Nonstationary Erlang Loss Model (1994)Structured Stochastic Matrices of M/G/1 Type and Their Applications. (1991)Retrial Queues (1997)Introduction to Matrix Analytic Methods in Stochastic Modeling (1999)Error bounds for augmented truncation approximations of continuous-time Markov chains (2018)New results on the single server queue with a batch markovian arrival process (1991)Fundamentals of Queueing Theory. (1977)Fundamentals of Queueing Theory. (1987)Product-form queueing networks with negative and positive customers (1991)The Pointwise Stationary Approximation for Mt/Mt/s Queues Is Asymptotically Correct As the Rates Increase (1991)Homogeneous finite-source retrial queues with server subject to breakdowns and repairs (2005)Performance analysis of time-dependent queueing systems: Survey and classification (2015)Ergodicity bounds for the Markovian queue with time-varying transition intensities, batch arrivals and one queue skipping policy (2020)Performance analysis of parallel processing systems (1988)TheM/M/1 queue with mass exodus and mass arrivals when empty (1997)Perturbation analysis for denumerable Markov chains with application to queueing models (2004)Facilitating Numerical Solutions of Inhomogeneous Continuous Time Markov Chains Using Ergodicity Bounds Obtained with Logarithmic Norm Method (2020)Analysis of a MAP/M/1/N Queue with Periodic and Non-Periodic Piecewise Constant Input Rate (2022)
this work references cited by second hop

References

  • 2006Some universal limits for nonhomogeneous birth and death processes71 cited
  • 2004Nonstationary Queues: Estimation of the Rate of Convergence69 cited
  • 2012Perturbation Bounds forMt/Mt/NQueue with Catastrophes39 cited

Cited by

  • 2020Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains25 cited
  • 2018Bounds on the rate of convergence for one class of inhomogeneous Markovian queueing models with possible batch arrivals and services24 cited
  • 2017ERROR BOUNDS FOR LAST-COLUMN-BLOCK-AUGMENTED TRUNCATIONS OF BLOCK-STRUCTURED MARKOV CHAINS23 cited
  • 2016Continuous-time block-monotone Markov chains and their block-augmented truncations23 cited
  • 2020Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains22 cited
  • 2017MX/M/c Queue with catastrophes and state-dependent control at idle time17 cited
  • 2019On limiting characteristics for a non-stationary two-processor heterogeneous system14 cited

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