Mathematical Model for Traffic Flow

Research on Traffic Flow Mathematical Model in Urban Traffic

In this paper, we take the urban road network as the object, a further study on the method of traffic signal self organization under the condition of traffic state identification and local congestion. In the urban road traffic state identification study, according to the need of traffic signal control, respectively from qualitative and quantitative point of view, the urban road traffic state is...

Mathematical Modelling of Traffic Flow at Bottlenecks

This master’s thesis gives a brief overview of mathematical modelling of traffic flow from different perspectives. Focus lies on the fluid flow analogy first derived by Lighthill, Whitham and Richards (LWR) in the 1950’s which treats a traffic stream as a compressible one-dimensional fluid. The LWR theory is applied to bottleneck queueing situations, more specifically to junctions with one outg...

A Mathematical Programming Model for Flow Shop Scheduling Problems for Considering Just in Time Production

  In this paper, we consider a flow shop scheduling problem with bypass consideration for minimizing the sum of earliness and tardiness costs. We propose a new mathematical modeling to formulate this problem. There are several constraints which are involved in our modeling such as the due date of jobs, the job ready times, the earliness and the tardiness cost of jobs, and so on. We apply adapte...

Mathematical Optimizationg models for Air Traffic Flow Management: A review

Congestion problems are becoming increasingly acute in many European and American airports and air sectors. To protect Air Traffic Control (ATC) from overload a planning activity called Air Traffic Flow Management (ATFM) tries to anticipate and prevent overload and limit resulting delays. When the traffic expects to exceed the airport arrival and departure capacities or the airsector capacity a...

New Directions in Mathematical Approaches for Traffic Flow Management