Travel Time Dynamics for Transportation Systems: Theory and Applications
نویسندگان
چکیده
This paper presents the various transportation application problems where travel time is an important variable and a factor. The paper demonstrates the limitation of the flow based travel time functions. The paper presents a density based travel time function. Following this, the paper develops a fundamental theory of travel time dynamics that is built from a given fundamental traffic relationship and vehicle characteristics. The travel time dynamics produce an asymmetric one-sided coupled system of hyperbolic partial differential equations, where the first equation represents the macroscopic traffic dynamics. The existence of the solution for the mathematical model is then presented.
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