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math.PR2023
Asymptotic product-form steady-state for generalized Jackson networks in multi-scale heavy traffic
J. G. Dai, Peter Glynn, Yaosheng Xu
We prove that under a multi-scale heavy traffic condition, the stationary distribution of the scaled queue length vector process in any generalized Jackson network has a product-fo…
math.PR2023★ 2 cited
The BAR approach for multiclass queueing networks with SBP service policies
Anton Braverman, J. G. Dai, Masakiyo Miyazawa
The basic adjoint relationship (BAR) approach is an analysis technique based on the stationary equation of a Markov process. This approach was introduced to study heavy-traffic, st…