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Stability of a three‐station fluid network

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References

1995On Positive Harris Recurrence of Multiclass Queueing Networks: A Unified Approach Via Fluid Limit Models886 cited
1995Stability and convergence of moments for multiclass queueing networks via fluid limit models317 cited
1995Stability of queueing networks and scheduling policies277 cited
1994Instability of FIFO Queueing Networks263 cited
1996Stability and Instability of Fluid Models for Reentrant Lines226 cited
1995Fluid Approximations and Stability of Multiclass Queueing Networks: Work-Conserving Disciplines214 cited
1996A fluid limit model criterion for instability of multiclass queueing networks169 cited
1996Duality and linear programs for stability and performance analysis of queuing networks and scheduling policies149 cited
1996Convergence to equilibria for fluid models of head-of-the-line proportional processor sharing queueing networks135 cited
1996Convergence to equilibria for fluid models of FIFO queueing networks133 cited
1995Transience of Multiclass Queueing Networks Via Fluid Limit Models126 cited
2000The Stability of Two-Station Multitype Fluid Networks124 cited
1996Stability conditions for multiclass fluid queueing networks110 cited
2000Stability of Multiclass Queueing Networks Under Priority Service Disciplines105 cited

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Cited by

1998Stability of two families of queueing networks and a discussion of fluid limits89 cited
2001Heavy Traffic Limits for Some Queueing Networks71 cited
2013Validity of Heavy-Traffic Steady-State Approximations in Multiclass Queueing Networks: The Case of Queue-Ratio Disciplines38 cited
2020Processing Networks22 cited
2002On Deciding Stability of Constrained Homogeneous Random Walks and Queueing Systems22 cited
2013Measurement and optimization of robust stability of multiclass queueing networks: Applications in dynamic supply chains20 cited
2009On deciding stability of multiclass queueing networks under buffer priority scheduling policies17 cited
2001Existence Condition for the Diffusion Approximations of Multiclass Priority Queueing Networks17 cited
2001Lyapunov method for the stability of fluid networks15 cited
2004Stabilizing Queueing Networks with Setups15 cited
2021Scheduling and Control of Queueing Networks11 cited