Title
Monotone Optimal Policies for a Transient Queueing Staffing Problem
Abstract
We consider the problem of determining the optimal policy for staffing a queueing system over multiple periods, using a model that takes into account transient queueing effects. Formulating the problem in a dynamic programming setting, we show that the optimal policy follows a monotone optimal control by establishing the submodularity of the objective function with respect to the staffing level and initial queue size in a period. In particular, this requires proving that the system occupancy in aG/M/s queue is submodular in the number of servers and initial system occupancy.
Year
DOI
Venue
2000
10.1287/opre.48.2.327.13375
Operations Research
Field
DocType
Volume
Mathematical optimization,Bulk queue,Optimal control,Staffing,Computer science,Queue,Submodular set function,Layered queueing network,Queueing theory,Operations management,Monotone polygon
Journal
48
Issue
ISSN
Citations 
2
0030-364X
11
PageRank 
References 
Authors
1.68
0
3
Name
Order
Citations
PageRank
Michael C. Fu11161128.16
Steven I. Marcus2889116.89
I-Jeng Wang327731.46