Cooperative Dynamics of Loyal Customers in Queueing Networks

Details

Serval ID
serval:BIB_A54F6215802C
Type
Inproceedings: an article in a conference proceedings.
Collection
Publications
Title
Cooperative Dynamics of Loyal Customers in Queueing Networks
Title of the conference
2006 International Conference on Service Systems and Service Management Proceedings
Author(s)
Gallay O., Hongler M.-O.
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Address
Troyes, France
ISBN
1-4244-0451-7
1-4244-0450-9
Publication state
Published
Issued date
10/2006
Pages
996-1001
Language
english
Abstract
We consider queueing networks (QN) 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.
Keywords
Queueing networks, Feedback loops, Loyal customers, Cooperation, Stable temporal oscillations, Synchronization, Stabilization by noise
Web of science
Create date
15/03/2017 15:26
Last modification date
20/08/2019 16:10
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