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Convergence to equilibria for fluid models of FIFO queueing networks

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References

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2002The fluid limit of a heavily loaded processor sharing queue108 cited
2003Dynamic Server Allocation for Queueing Networks with Flexible Servers102 cited
1999Stability of a three‐station fluid network101 cited

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1997

Stability of Multiclass Queueing Networks Under FIFO Service Discipline

100 cited

1998Stability of two families of queueing networks and a discussion of fluid limits89 cited

2004Stability and instability of a two-station queueing network67 cited

2008Stability of Queueing Networks67 cited

2001Stability of Earliest-Due-Date, First-Served Queueing Networks65 cited

1999A heavy traffic limit theorem for a class of open queueing networks with finite buffers52 cited

2000Asymptotic optimality of tracking policies in stochastic networks47 cited

2000Using fluid models to prove stability of adversarial queueing networks46 cited

1997A multiclass network with non-linear, non-convex, non-monotonic stability conditions46 cited

2013Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines38 cited

2002Stability of adversarial queues via fluid models35 cited

2009A Simple proof for the stability of global FIFO queueing networks34 cited

2016Proportional Switching in First-in, First-out Networks31 cited