Non-linear effects in traffic simulations

Abstract

Growing requirements on transport of passengers and goods have a principle impact on life and economy. It is not need not intricately needed to search accurate formulation of economic consequences, on the contrary would be enough to quote, for example, United States Secretary of Transportation Norman Mineta, according to which local drivers lose in traffic jams almost 4 billions hours and 2 billions gallons of fuel each year. Upward trend is perceptible especially on highways, where some out of traffic jams affects two-thirds drivers every day, which is double compared to situation twenty years ago.
In Los Angeles at that time transportation problem lasted 4.5 hours every day, about two decade later in the same town transport breaks down for 7 hours every day. It is evident it is not always possible extend capacity carriage according to their users needs and is necessary to search alternative manners. One of these is transition to description of traffic flow via nonlinear dynamics, which explains the behavior of very complicated systems.
If we explain properties of the traffic flow, we can try to describe emergency of traffic jams and search manners, how those situation precede at least in part.