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A central limit theorem for a Markov-modulated infinite-server queue with batch Poisson arrivals and binomial catastrophes

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References

2000Transient solution of an M/M/1 queue with catastrophes128 cited
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2004Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates77 cited
1966On infinite server queues with batch arrivals75 cited
1986The M/M/∞ queue in a random environment73 cited
1980Some explicit formulas and computational methods for infinite-server queues with phase-type arrivals43 cited
1983On the service system MX/G/∞26 cited
2015ANALYSIS OF MARKOV-MODULATED INFINITE-SERVER QUEUES IN THE CENTRAL-LIMIT REGIME22 cited
2008Transient Analysis for State-Dependent Queues with Catastrophes18 cited
2013A large-deviations analysis of Markov-modulated infinite-server queues15 cited
1980Queues with infinitely many servers13 cited

Cited by

2019Analysis of batch Bernoulli process subject to discrete-time renewal generated binomial catastrophes11 cited

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