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The M/M/∞ queue in a random environment

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References

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1978Markov chains with applications in queueing theory, which have a matrix-geometric invariant probability vector154 cited

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2007Erlang loss queueing system with batch arrivals operating in a random environment38 cited
2009Heavy-traffic limits for many-server queues with service interruptions37 cited
1993The matrix M/M/∞ system: retrial models and Markov Modulated sources36 cited
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2005Generalized product-form stationary distributions for Markov chains in random environments with queueing applications33 cited
2016Markov-modulated Ornstein–Uhlenbeck processes33 cited
2011Steady state analysis of level dependent quasi-birth-and-death processes with catastrophes32 cited
2007Stochastic decomposition of the queue in a random environment29 cited

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2015ANALYSIS OF MARKOV-MODULATED INFINITE-SERVER QUEUES IN THE CENTRAL-LIMIT REGIME22 cited

2018Strong approximations for time-varying infinite-server queues with non-renewal arrival and service processes18 cited

2016A large deviations principle for infinite-server queues in a random environment18 cited

2016A functional central limit theorem for Markov additive arrival processes and its applications to queueing systems17 cited