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Perturbation Bounds forMt/Mt/NQueue with Catastrophes

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References

2006Some universal limits for nonhomogeneous birth and death processes71 cited
2004Nonstationary Queues: Estimation of the Rate of Convergence69 cited
1999A BMAP/SM/1 queueing system with Markovian arrival input of disasters58 cited
2001BMAP/SM/1 queue with Markovian input of disasters and non-instantaneous recovery49 cited

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2014Perturbation bounds and truncations for a class of Markovian queues38 cited
2018A Time-Non-Homogeneous Double-Ended Queue with Failures and Repairs and Its Continuous Approximation34 cited
2022Mitigating long queues and waiting times with service resetting34 cited
2020Two Approaches to the Construction of Perturbation Bounds for Continuous-Time Markov Chains25 cited
2017A catastrophic queueing model with delayed action25 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
2015The M/M/c queue with mass exodus and mass arrivals when empty21 cited
2013On the Rate of Convergence and Truncations for a Class of Markovian Queueing Systems

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18 cited

2017MX/M/c Queue with catastrophes and state-dependent control at idle time17 cited

2022Analysis of a MAP/M/1/N Queue with Periodic and Non-Periodic Piecewise Constant Input Rate16 cited