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math.PR2024
Tight matrices and heavy traffic steady state convergence in queueing networks
J. G. Dai, Yiquan Ji, Masakiyo Miyazawa
We are interested to prove that the stationary distribution of a multiclass queueing network converges to the stationary distribution of a semimartingale reflecting Brownian motion…
math.PR2024
Asymptotic Product-form Steady-state for Multiclass Queueing Networks with SBP Service Policies in Multi-scale Heavy Traffic
J. G. Dai, Dongyan Huo
In this work, we study the stationary distribution of the scaled queue length vector process in multiclass queueing networks operating under static buffer priority service policies…