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Some diffusion approximations with state space collapse
2 references·16 citing·38 second hop
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References

  • 1984Open Queueing Networks in Heavy Traffic449 cited
  • 1970Multiple channel queues in heavy traffic. I438 cited

Cited by

  • 1993Dynamic routing in open queueing networks: Brownian models, cut constraints and resource pooling170 cited
  • 1992Dynamic Scheduling of a Multiclass Make-to-Stock Queue165 cited
  • 1998On Pooling in Queueing Networks153 cited
  • 1997Dynamic control of Brownian networks: state space collapse and\n\t\t equivalent workload formulations148 cited
  • 2001Real-time queues in heavy traffic with earliest-deadline-first queue discipline146 cited
  • 2004Scheduling a multi class queue with many exponential servers: asymptotic optimality in heavy traffic140 cited
  • 2005Dynamic Routing in Large-Scale Service Systems with Heterogeneous Servers137 cited
  • 2005A Diffusion Approximation for a GI/GI/1 Queue with Balking or Reneging121 cited
  • 2004Pathwise optimality of the exponential scheduling rule for wireless channels111 cited
  • 1991A Heavy Traffic Limit Theorem for Networks of Queues with Multiple Customer Types103 cited
  • 1991Brownian Networks with Discretionary Routing92 cited
  • 1990Chapter 4 Diffusion approximations78 cited
  • 2017

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Stein’s method for steady-state diffusion approximations of $M/\mathit{Ph}/n+M$ systems
72 cited
  • 2008Service-Level Agreements in Call Centers: Perils and Prescriptions71 cited
  • 2001Heavy Traffic Limits for Some Queueing Networks71 cited
  • 2022Scalable Load Balancing in Networked Systems: A Survey of Recent Advances67 cited