TY - JOUR
T1 - Fluid models for many-server Markovian queues in a changing environment.
AU - Zhang, B.
AU - Zwart, A.P.
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/84869239767
UR - https://www.scopus.com/inward/citedby.url?scp=84869239767&partnerID=8YFLogxK
U2 - 10.1016/j.orl.2012.10.001
DO - 10.1016/j.orl.2012.10.001
M3 - Article
SN - 0167-6377
VL - 40
SP - 573
EP - 577
JO - Operations Research Letters
JF - Operations Research Letters
ER -