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Transient behavior of the M/M/1 queue via Laplace transforms

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References

1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
1958Many server queueing processes with Poisson input and exponential service times182 cited
1968Diffusion approximations and models for certain congestion problems132 cited
1983An Empirical Investigation of the Transient Behavior of Stationary Queueing Systems128 cited
1987Transient behavior of the M/M/l queue: Starting at the origin124 cited
1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
1985The Transient Behavior of the M/M/s Queue, with Implications for Steady-State Simulation89 cited
1982Some New Results for the M/M/1 Queue71 cited
1986The virtual waiting-time and related processes51 cited
1982Refining diffusion approximations for queues51 cited
1977The covariance function of the virtual waiting-time process in an M / G /1 queue41 cited
1985Transient exponential-Erlang queues and steady-state simulation38 cited

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2017A state-dependent queueing system with asymptotic logarithmic distribution16 cited

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