Stochastic Traffic Flow Modeling

We study the flow through a random porous medium when the hydraulic conductivity is assumed an isotropic lognormal multifractal field. We find that the resulting hydraulic gradient   Hx  and specific flow   qxare also multifractal with renormalization properties and marginal distributions obtained analytically as functions of the space dimension D and a multifractal parameter of K (the codimension CK. The analytical results are confirmed with two-dimensional simulations.

In this first paper of a series of two we are going to show that, on the ground of few reasonable hypotheses, an equation linking the number of vehicle N(τ i), that run from (i-1)-th to the i-th hour, to the ground-level hourly average measured values of an arbitrary pollutant concentration [C(τ i ,z=0)≡C(τ i)] can be established. The traffic environmental model so generated is validated via a fuzzy logig approach. In a second paper we will valitadeted and calibrated it via a manual counting of traffic fluxes and its provisional capability will be tessted