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Limit theorems for periodic queues

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References

1955Investigation of waiting time problems by reduction to Markov processes207 cited
1964General Stochastic Processes in the Theory of Queues101 cited
1963THE LIMITING DISTRIBUTION OF THE VIRTUAL WAITING TIME AND THE QUEUE SIZE FOR A SINGLE-SERVER QUEUE WITH RECURRENT INPUT AND GENERAL SERVICE TIMES63 cited
1959On the Integrodifferential Equation of Takacs. II57 cited

Cited by

1992Computational methods in risk theory: A matrix-algorithmic approach86 cited
1985Conjugate processes and the silumation of ruin problems71 cited
1989Queues with nonstationary inputs53 cited
1994Risk Theory in a Periodic Environment: The Cramér-Lundberg Approximation and Lundberg's Inequality51 cited
1981A note on networks of infinite-server queues47 cited
1987A Markov chain approach to periodic queues37 cited
1981On queues with periodic Poisson input35 cited
2019Time-Varying Robust Queueing27 cited
1989Waiting time and workload in queues with periodic Poisson input25 cited
1987Approximation of periodic queues23 cited
1991Light Traffic Approximations in Queues22 cited

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1989On queues with periodic inputs21 cited

1999A sample path analysis of the M t /M t /c queue21 cited

2010Directional Derivatives of Oblique Reflection Maps18 cited

2001The Periodic BMAP/PH/c Queue18 cited

1989Relationships between characteristics in periodic Poisson queues16 cited