This paper analyzes the structural properties of the shock and rarefaction wave solutions of a macroscopic, second-order non-local continuum traffic flow model, namely Helbing’s model. We will show that this model has two families of characteristics for the shock wave solutions: one characteristic is slower, and the other one is faster than the average vehicle speed. Corresponding to the slower...

a Balaton Limnological Institute, Hungarian Academy of Sciences Centre for Ecological Research, Klebelsberg K. u. 3, Tihany 8237, Hungary b University of Leicester, Centre for Landscape and Climate Research, Bennett Building, University Road, Leicester LE1 7RH, UK c Brockmann Consult, Max-Planck-Str. 2, 21502 Geesthacht, Germany d Biological and Environmental Sciences, School of Natural Science...

X iv :c on dm at /9 90 33 19 v1 [ co nd -m at .s ta tm ec h] 2 1 M ar 1 99 9 Self-Organised Optimality in Driven Systems with Symmetrical Interactions Dirk Helbing and Tamás Vicsek ∗ II. Institute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, 70550 Stuttgart, Germany + Department of Biological Physics, Eötvös University, Budapest, Pázmány Péter Sétány 1A, H-1117 Hungary

The primary consequence of just-in-time (JIT) production is reduction of inventory. The associated benefit is (a) improved cashflow due to less financial resource tied up in inventory, and (b) less storage space required hence more productive plant area. Coupled with lean production and total quality management (TQM), it may also be possible to (c) improve worker productivity, (d) improve produ...

We introduce estimation and test procedures through divergence minimization for models satisfying linear constraints with unknown parameter. These procedures extend the empirical likelihood (EL) method and share common features with generalized empirical likelihood (GEL) approach. We treat the problems of existence and characterization of the divergence projections of probability measures on se...

We study local convergence of generalized Newton methods for both equations and inclusions by using known and new approximations and regularity properties at the solution. Including Kantorovich-type settings, our goal are statements about all (not only some) Newton sequences with appropriate initial points. Our basic tools are results of [31], [37] and [40], mainly about Newton maps and modifie...