21 citations · 21 across the 5 of their papers we have counts for
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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…
math.PR2022
Stability of a Queue Fed by Scheduled Traffic at Critical Loading
Victor F. Araman, Peter W. Glynn
Consider the workload process for a single server queue with deterministic service times in which customers arrive according to a scheduled traffic process. A scheduled arrival seq…
math.PR2006★ 21 cited
Tail asymptotics for the maximum of perturbed random walk
Victor F. Araman, Peter W. Glynn
Consider a random walk that is ``perturbed'' by a stationary sequence to produce the process . This paper is concerned with comp…