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Exact and asymptotic solutions to a PDE that arises in time-dependent queues

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References

1972Air-Terminal Queues under Time-Dependent Conditions154 cited
1995Strong Approximations for Time-Dependent Queues144 cited
1987Transient behavior of regulated Brownian motion, I: Starting at the origin109 cited
1968Queues with time-dependent arrival rates I—the transition through saturation109 cited
1989Testing the Validity of a Queueing Model of Police Patrol64 cited
1968Queues with time-dependent arrival rates. III — A mild rush hour57 cited
1984Stalking the Endangered CAT: A Queueing Analysis of Congestion at Automatic Teller Machines51 cited
1968Queues with time-dependent arrival rates. II — The maximum queue and the return to equilibrium46 cited
1982Time-Dependent Queues45 cited
1976The M/M/∞ Queue with Varying Arrival and Departure Rates36 cited

Cited by

2002An Exact Solution for an M(t)/M(t)/1 Queue with Time-Dependent Arrivals and Service22 cited
2017Time-dependent analysis for a two-processor heterogeneous system with time-varying arrival and service rates13 cited
2004Some Asymptotic Results for the M/M/∞ Queue with Ranked Servers13 cited

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