A New Continuum Model for Traffic Flow

摘要

In the previous study sponsored by the Department's Office of University Research, a kinetic microscopic model of traffic flow giving results consistent with data over the entire range of traffic density was developed. From the moments of the governing Boltzmann equation, there results continuum-type theories of successive levels of refinement for describing the dynamics of traffic flow. The system of equations arising from the first four moments (zero through third) provides a basis for assessing all previously derived systems and appears adequate as a continuum model for traffic dynamics in all conceivable practical applications. This research study is concerned with the completion of this system and with assessing successive approximations thereto. The model, thus validated, will provide the framework for the control and optimization of service in large transportation networks, whether the objective be to maximize throughput of vehicles, people or goods or to achieve the greatest economy in fuel consumption or environmental pollution.