Europhys. Lett.
Volume 70, Number 3, May 2005
Page(s) 285 - 291
Section General
Published online 25 March 2005
Europhys. Lett., 70 (3), pp. 285-291 (2005)
DOI: 10.1209/epl/i2004-10492-x

Syphon dynamics -a soluble model of multi-agents cooperative behavior

R. Filliger and M.-O. Hongler

Institut de Production et Robotique (IPR), Laboratoire de Production Microtechnique (LPM), Ecole Polytechnique Fédérale de Lausanne (EPFL) CH-1015 Lausanne, Switzerland

received 5 November 2004; accepted in final form 11 March 2005
published online 25 March 2005

We consider the dynamics of a "one queue one server" feedback queueing system where the decision of an agent to use the feedback loop is based upon its waiting time in the system. We investigate the dynamics for very patient agents and quantify the emerging stable and almost deterministic oscillations of the queue length. The resulting delay dynamics can be viewed as an auto-siphoning hydrodynamic device. Using this picture, we can further discuss the transport phenomenon in serial networks of feedback queues. Global purging of the network and noise-induced transport are emphasized.

05.40.-a - Fluctuation phenomena, random processes, noise, and Brownian motion.
05.65.+b - Self-organized systems.

© EDP Sciences 2005