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M/M/∞ queues in semi-Markovian random environment

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References

1987Extreme Values, Regular Variation and Point Processes3,165 cited
1990A Queue with Service Interruptions in an Alternating Random Environment94 cited
1997A single server queue with service interruptions88 cited
2004Stochastic Decomposition in M/M/∞ Queues with Markov Modulated Service Rates77 cited
1986The M/M/∞ queue in a random environment73 cited

Cited by

2015Analysis of the M/G/1 queue in multi-phase random environment with disasters41 cited
2008An infinite-server queue influenced by a semi-Markovian environment41 cited
2016Markov-modulated Ornstein–Uhlenbeck processes33 cited
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
2013A large-deviations analysis of Markov-modulated infinite-server queues15 cited
2013Time-Scaling Limits for Markov-Modulated Infinite-Server Queues15 cited
2016Functional central limit theorems for Markov-modulated infinite-server systems15 cited

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