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Gaussian Limits for a Fork-Join Network with Nonexchangeable Synchronization in Heavy Traffic
16 references·5 citing·32 second hop
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References

  • 2007Brownian Motion and Stochastic Calculus7,421 cited
  • 1981Point Processes and Queues1,652 cited
  • 1987Limit Theorems for Stochastic Processes1,319 cited
  • 1983Point Processes and Queues: Martingale Dynamics.1,065 cited
  • 1989Theory of Martingales956 cited
  • 1989Brownian Motion and Stochastic Calculus.921 cited
  • 1993The Physics of the Mt/G/∞ Queue239 cited
  • 1989The fork-join queue and related systems with synchronization constraints: stochastic ordering and computable bounds162 cited
  • 1989Acyclic fork-join queuing networks150 cited
  • 2009The G/GI/N queue in the Halfin–Whitt regime146 cited
  • 2014On the Dynamic Control of Matching Queues136 cited
  • 2012Queues with Many Servers and Impatient Customers118 cited
  • 1997A heavy-traffic analysis of a closed queueing system with a GI/∞ service center102 cited
  • 2010Two-parameter heavy-traffic limits for infinite-server queues65 cited
  • 2004Response times in M/M/s fork-join networks60 cited
  • 2001A Simple and Effective Component Procurement Policy for Stochastic Assembly Systems

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57 cited

Cited by

  • 2016A functional central limit theorem for Markov additive arrival processes and its applications to queueing systems17 cited
  • 2016Heavy-traffic limits for an infinite-server fork–join queueing system with dependent and disruptive services15 cited
  • 2019On the Control of Fork-Join Networks14 cited
  • 2017Power control in saturated fork-join queueing systems13 cited
  • 2016Heavy-Traffic Limits for a Fork-Join Network in the Halfin-Whitt Regime13 cited