The diffusion can be studied in $d$-dimensional space where $d$ can also be non-integer value. The solution of the diffusion equation for such spaces is known and serves as basis of presented time and diffusion coefficient invariant dimension estimate. Using compact subsets of regular grids as finite fractal sets models discrete diffusion model is introduced. Results of diffusion simulations...
We introduce the gap acceptance theory originated from vehicular traffic engineering while dealing with computations of the capacity of unsignalized intersections. There are certain interesting phenomena that have been observed for this specific traffic situation, such as the linear trend for the mean critical gap accepted by a certain number of vehicles. Using empirical data gauged at...
The history of pedestrian modelling is close to 10 years anniversary. Within this period, two models have been developed aside of experimental research - cellular and continuous. Even the same motivation and microscopic, rule based approach were applied, there are many different features - benefits and drawbacks on both side. The aim of this article is to revisit the development process,...