James Lee Hafner
Journal of Number Theory
Motivated by service systems with time-varying customer arrivals, we consider a fluid model as a macroscopic approximation for many-server Markovian queues alternating between underloaded and overloaded intervals. Our main result is a refinement of the piecewise stationary approximation (PSA) for the stationary distribution of the fluid model. The form of the refined approximation suggests simple metrics for assessing the accuracy of PSA for underloaded and overloaded intervals respectively. © 2012 Elsevier B.V. All rights reserved.
James Lee Hafner
Journal of Number Theory
Imran Nasim, Melanie Weber
SCML 2024
Charles A Micchelli
Journal of Approximation Theory
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997