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State-space collapse in stationarity and its application to a multiclass single-server queue in heavy traffic

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References

1999Continuous Martingales and Brownian Motion6,200 cited
1987Applied Probability and Queues2,704 cited
1991Continuous Martingales and Brownian Motion1,957 cited
1983Point Processes and Queues: Martingale Dynamics.1,065 cited
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
1998State space collapse with application to heavy traffic limits for multiclass queueing networks309 cited
1998Diffusion approximations for open multiclass queueing networks: sufficient conditions involving state space collapse264 cited
1993Brownian models of multiclass queueing networks: Current status and open problems177 cited
2006Validity of heavy traffic steady-state approximations in generalized Jackson networks146 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
1993Existence and uniqueness of semimartingale reflecting Brownian motions in an orthant130 cited
1993Nonexistence of Brownian models for certain multiclass queueing networks119 cited

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

2009Stationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic87 cited

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