Cooperative Dynamics of Loyal Customers in Queueing Networks

Details

Ressource 1Download: 2008_JSSSE_Gallay_Hongler.pdf (771.59 [Ko])
State: Public
Version: Author's accepted manuscript
Serval ID
serval:BIB_2345CD033245
Type
Article: article from journal or magazin.
Collection
Publications
Title
Cooperative Dynamics of Loyal Customers in Queueing Networks
Journal
Journal of Systems Science and Systems Engineering
Author(s)
Gallay O., Hongler M.-O.
ISSN
1004-3756
Publication state
Published
Issued date
06/2008
Peer-reviewed
Oui
Volume
17
Number
2
Pages
241-254
Language
english
Abstract
We consider queueing networks (QN's) with feedback loops roamed by "intelligent" agents, able to select their routing on the basis of their measured waiting times at the QN nodes. This is an idealized model to discuss the dynamics of customers who stay loyal to a service supplier, provided their service time remains below a critical threshold. For these QN's, we show that the traffic flows may exhibit collective patterns typically encountered in multi-agent systems. In simple network topologies, the emergent cooperative behaviors manifest themselves via stable macroscopic temporal oscillations, synchronization of the queue contents and stabilization by noise phenomena. For a wide range of control parameters, the underlying presence of the law of large numbers enables us to use deterministic evolution laws to analytically characterize the cooperative evolution of our multi-agent systems. In particular, we study the case where the servers are sporadically subject, to failures altering their ordinary behavior.
Keywords
Queueing networks with feedback loops, Loyal customers, Cooperation, Stable temporal oscillations, Synchronization, Stabilization by noise
Web of science
Create date
14/12/2016 17:47
Last modification date
20/08/2019 14:00
Usage data