Title
Asymptotically optimal idling in the GI/GI/N+GI queue
Abstract
We formulate a control problem for a GI/GI/N+GI queue, whose objective is to trade off the long-run average operational costs with server utilization costs. To solve the control problem, we consider an asymptotic regime in which the arrival rate and the number of servers grow large. The solution to an associated fluid control problem motivates that non-idling service disciplines are not in general optimal, unless some arrivals are turned away. We propose an admission control policy designed to ensure that servers have sufficient idle time, which we show is asymptotically optimal.
Year
DOI
Venue
2022
10.1016/j.orl.2022.04.005
Operations Research Letters
Keywords
DocType
Volume
GI/GI/N+GI,Fluid control problem,Asymptotically optimal idling
Journal
50
Issue
ISSN
Citations 
3
0167-6377
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Yueyang Zhong100.68
Amy R. Ward231839.87
Amber L. Puha300.34