The focus of this paper is on the asymptotics of large-time numbers of
customers in time-periodic Markovian many-server queues with customer
abandonment in heavy traffic. Limit theorems are obtained for the periodic
number-of-customers processes under the fluid and diffusion scalings. Other
results concern limits for general time-dependent queues and for
time-homogeneous queues in steady state.Comment: The final publication is available at link.springer.co