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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
Gaussian Limits for Scheduled Traffic with Super-Heavy Tailed Perturbations
Victor F. Araman, Peter W. Glynn
A scheduled arrival model is one in which customers are scheduled to arrive at constant interarrival times, but each customer actual arrival time is perturbed from her scheduled ar…