Comparisons between observable and unobservable M/M/1 queues with respect to optimal customer behavior

Shone, Robert and Knight, Vincent and Williams, Janet (2013) Comparisons between observable and unobservable M/M/1 queues with respect to optimal customer behavior. European Journal of Operational Research, 227 (1). pp. 133-141. ISSN 0377-2217

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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.

Item Type:
Journal Article
Journal or Publication Title:
European Journal of Operational Research
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/1800/1802
Subjects:
ID Code:
139691
Deposited By:
Deposited On:
06 Jan 2020 10:15
Refereed?:
Yes
Published?:
Published
Last Modified:
11 Sep 2020 05:19