Fluid models for many-server Markovian queues in a changing environment.

B. Zhang, A.P. Zwart

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

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.
Original languageEnglish
Pages (from-to)573-577
JournalOperations Research Letters
Volume40
DOIs
Publication statusPublished - 2012

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