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Diffusion Approximation for an M / G / m Queue

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References

1982Poisson Arrivals See Time Averages1,220 cited
1985Applications of Queueing Theory329 cited
1955On the theory of queues with many servers313 cited
1977Queueing Systems, Vol. II: Computer Applications.308 cited
1974Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions258 cited
1975On Approximate Computer System Models248 cited
1965Limiting diffusion approximations for the many server queue and the repairman problem211 cited
1978Approximations in finite-capacity multi-server queues by Poisson arrivals139 cited
1974Accuracy of the Diffusion Approximation for Some Queuing Systems135 cited
1968Diffusion approximations and models for certain congestion problems132 cited
1974Heavy Traffic Limit Theorems for Queues: A Survey130 cited
1978Approximations for the M/G/m Queue129 cited
1979Approximations of the Mean Waiting Time in an M/G/s Queueing System113 cited
1972Regenerative processes in the theory of queues, with applications to the alternating-priority queue113 cited
1978Renewal processes of phase type105 cited

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1959

Queueing Processes Associated with Airline Passenger Check-in

99 cited

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2005Systems with multiple servers under heavy-tailed workloads45 cited
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1986Asymptotic Analysis of a State-Dependent $M/G/1$ Queueing System35 cited
1989A location model for a facility operating as an M/G/k queue29 cited
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2011Diffusion Approximation as a Modelling Tool22 cited
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