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| Various kinds of the collective motion of Self-Driven Particles (SDP), such as vehicles, pedestrians and social insects, have attracted a great deal of attention in a wide range of fields during the last few decades. Most of these complex systems are interesting not only from the point of view of natural sciences for fundamental understanding of how nature works but also from the points of view of applied sciences and engineering for the potential practical use of the results of the investigations. Especially, interdisciplinary research for the dynamics of jamming phenomena in SDP systems, so-called "Jamology", has progressed by developing sophisticated mathematical models considered as a system of interacting particles driven far from equilibrium with a central focus on the jamming phenomena in traffic flow.
In this talk, starting from the definition of the "jamming state" in 1-d transportation system, several mathematical models and their relations are shown in the case of traffic flow. Mathematical modeling and its analysis suggest the mechanism for forming the spontaneous traffic jam. Then our jam absorbing driving technique is introduced as a fundamental theoretical framework. |
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