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Proportional fairness and its relationship with multi-class queueing networks

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References

1986Blocking probabilities in large circuit-switched networks577 cited
2001Fundamentals of Queueing Networks530 cited
1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
2004Fundamentals of Queueing Networks: Performance, Asymptotics, and Optimization291 cited
1979Closed Exponential Networks of Queues with Saturation: The Jackson-Type Stationary Distribution and Its Asymptotic Analysis132 cited
2002Insensitivity in processor-sharing networks124 cited

Cited by

2014Optimal queue-size scaling in switched networks34 cited
2016Proportional Switching in First-in, First-out Networks31 cited
2013Closed Queueing Networks Under Congestion: Nonbottleneck Independence and Bottleneck Convergence19 cited
2012Optimal queue-size scaling in switched networks17 cited
2015QD-AMVA: Evaluating systems with queue-dependent service requirements17 cited
2015Equilibrium routing under uncertainty14 cited
2011Insensitive, maximum stable allocations converge to proportional fairness14 cited

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