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Rates of convergence for queues in heavy traffic. I
8 references·3 citing·25 second hop
Rates of convergence for queues in heavy traffic. I (1972)Rates of convergence for queues in heavy …Weak convergence theorems for priority queues: preemptive-resume discipline (1971)Weak convergence theorems for…Weak convergence theorems for priority queues: preemptive-resume discipline (1971)Weak convergence theorems for…Multiple channel queues in heavy traffic (1971)Multiple channel queues in he…Multiple channel queues in heavy traffic. III: random server selection (1970)Multiple channel queues in he…Multiple channel queues in heavy traffic. II: sequences, networks, and batches (1970)Multiple channel queues in he…Multiple channel queues in heavy traffic. I (1970)Multiple channel queues in he…Some Limit Theorems in the Theory of Mass Service, II Multiple Channels Systems (1965)Some Limit Theorems in the Th…Some Limit Theorems in the Theory of Mass Service (1964)Some Limit Theorems in the Th…Strong approximations for multiple channel queues in heavy traffic (1990)Strong approximations for mul…The stable M / G /1 queue in heavy traffic and its covariance function (1977)The stable M / G /1 queue in …Complements to heavy traffic limit theorems for the GI/G/1 queue (1972)Complements to heavy traffic …The single server queue in heavy traffic (1961)On Queues in Heavy Traffic (1962)Weak convergence in queueing theory (1973)The diffusion approximation for tandem queues in heavy traffic (1978)Transient behavior of regulated Brownian motion, I: Starting at the origin (1987)The theory of queues with a single server (1952)Asymptotic relations in queueing theory (1973)An approximation of stopped sums with applications in queueing theory (1987)Strong approximations for priority queues; head-of-the-line-first discipline (1992)A law of iterated logarithm for multiclass queues with preemptive priority service discipline (2014)Discrete Flow Networks: Bottleneck Analysis and Fluid Approximations (1991)Logarithmic asymptotics for steady-state tail probabilities in a single-server queue (1994)Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse (1998)Corrected diffusion approximations in certain random walk problems (1979)Measurements and approximations to describe the offered traffic and predict the average workload in a single-server queue (1989)Heavy Traffic Limits for Some Queueing Networks (2001)Service-Level Agreements in Call Centers: Perils and Prescriptions (2008)Stein’s Method for Steady-state Diffusion Approximations: An Introduction through the Erlang-A and Erlang-C Models (2016)Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems (2017)A Markov-modulated M/G/1 queue I: Stationary distribution (1987)Analysis of multiserver retrial queueing system: A martingale approach and an algorithm of solution (2006)Open Queueing Networks in Heavy Traffic (1984)Brownian Models of Queueing Networks with Heterogeneous Customer Populations (1988)Numerical Methods for Stochastic Control Problems in Continuous Time (1990)The Distributional Little's Law and Its Applications (1995)
this work references cited by second hop

References

  • 1970Multiple channel queues in heavy traffic. I438 cited
  • 1970Multiple channel queues in heavy traffic. II: sequences, networks, and batches281 cited
  • 1971Multiple channel queues in heavy traffic125 cited
  • 1964Some Limit Theorems in the Theory of Mass Service96 cited
  • 1965Some Limit Theorems in the Theory of Mass Service, II Multiple Channels Systems91 cited
  • 1971Weak convergence theorems for priority queues: preemptive-resume discipline91 cited
  • 1971Weak convergence theorems for priority queues: preemptive-resume discipline87 cited
  • 1970Multiple channel queues in heavy traffic. III: random server selection31 cited

Cited by

  • 1990Strong approximations for multiple channel queues in heavy traffic17 cited
  • 1972Complements to heavy traffic limit theorems for the GI/G/1 queue17 cited
  • 1977The stable M / G /1 queue in heavy traffic and its covariance function13 cited

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