Decentralised control of material or traffic flows in networks using phase-synchronisation

We present a self-organising, decentralised control method for material flows in networks. The concept applies to networks where time sharing mechanisms between conflicting flows in nodes are required and where a coordination of these local switches on a system-wide level can improve the performance. We show that, under certain assumptions, the control of nodes can be mapped to a network of phase-oscillators.

[1]  Richard F. Hartl,et al.  Optimal Control and Dynamic Games , 2005 .

[2]  Markos Papageorgiou,et al.  Extensions and New Applications of the Traffic-Responsive Urban Control Strategy: Coordinated Signal Control for Urban Networks , 2003 .

[3]  A. Winfree.  The geometry of biological time , 1991 .

[4]  David D. Yao,et al.  Fundamentals of Queueing Networks , 2001 .

[5]  Yoshiki Kuramoto,et al.  Chemical Oscillations, Waves, and Turbulence , 1984, Springer Series in Synergetics.

[6]  R. D. Bretherton,et al.  Optimizing networks of traffic signals in real time-the SCOOT method , 1991 .

[7]  Markos Papageorgiou.  Traffic and Transportation Systems , 1992, Concise Encyclopedia of Modelling & Simulation.

[8]  T. Ueda,et al.  Interaction between cell shape and contraction pattern in the Physarum plasmodium. , 2000, Biophysical chemistry.

[9]  Mike Mannion,et al.  Complex systems , 1997, Proceedings International Conference and Workshop on Engineering of Computer-Based Systems.

[10]  Sally Floyd,et al.  Connections with multiple congested gateways in packet-switched networks part 1: one-way traffic , 1991, CCRV.

[11]  S. Strogatz.  Exploring complex networks , 2001, Nature.

[12]  A. Tero,et al.  A coupled-oscillator model with a conservation law for the rhythmic amoeboid movements of plasmodial slime molds , 2005 .

[13]  J. Keener,et al.  Phase locking of biological clocks , 1982, Journal of mathematical biology.

[14]  Günter Radons,et al.  Nonlinear Dynamics of Production Systems , 2004 .

[15]  Ilʹi︠a︡ Izrailevich Blekhman,et al.  Synchronization in science and technology , 1988 .

[16]  C. Tomlin.  Optimal Control and Dynamic Games , 2005 .

[17]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[18]  J. Rogers.  Chaos , 1876 .

[19]  Hd Dieter Armbruster,et al.  Control and synchronization in switched arrival systems , 2003 .

[20]  Guy Theraulaz,et al.  Self-Organization in Biological Systems , 2001, Princeton studies in complexity.

[21]  Steven H. Low,et al.  A duality model of TCP and queue management algorithms , 2003, TNET.