Paper Info
Title
Comparisons between observable and unobservable M/M/1 queues with respect to optimal customer behavior.
Abstract
We consider an M/M/1 queueing system in which the queue length may or may not be observable by a customer upon entering the system. The "observable" and "unobservable" models are compared with respect to system properties and performance measures under two different types of optimal customer behavior, which we refer to as "selfishly optimal" and "socially optimal". We consider average customer throughput rates and show that, under both types of optimal customer behavior, the equality of effective queue-joining rates between the observable and unobservable systems results in differences with respect to other performance measures such as mean busy periods and waiting times. We also show that the equality of selfishly optimal queue-joining rates between the two types of system precludes the equality of socially optimal joining rates, and vice versa. (C) 2012 Elsevier B.V. All rights reserved.
Year
DOI
Venue
2013
10.1016/j.ejor.2012.12.016
European Journal of Operational Research
Keywords
Field
DocType
Queueing,Customer information,Equilibrium strategies,Optimal strategies
Mathematical optimization,Observable,Consumer behaviour,Queue,Customer information,Queueing theory,Queueing system,Throughput,Unobservable,Mathematics,Operations management
Journal
Volume
Issue
ISSN
227
1
0377-2217
Citations 
PageRank 
References 
12
0.96
13
Authors
3
Name
Order
Citations
PageRank
Rob Shone1120.96
Vincent A. Knight23710.00
Janet E. Williams3212.95