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A unified perspective on traffic flow theory, Part II: The unified diagram

TitleA unified perspective on traffic flow theory, Part II: The unified diagram
Publication TypeJournal Article
Year of Publication2013
AuthorsNi D
JournalApplied Mathematical Sciences
Volume7
Issue40
Start Page1947
Pagination1947-1963
KeywordsTraffic flow, Transportation management
Abstract

Over more than half a century, traffic flow theorists have been pursuing two goals: (1) simple and efficient models to abstract vehicular traffic flow and (2) a unified framework in which existing traffic flow models fit and relate to each other. Continuing these efforts, we report our humble understanding in a trio of papers. This paper (Part I) introduces a Field Theory with an emphasis on traffic flow modeling at the microscopic level. In this theory, highways and vehicles are perceived as a field by a subject driver whose driving strategy is to navigate through the field along its valley. The second paper (Part II) uses the Field Theory as a framework to relate existing microscopic and macroscopic models to each other and such relations are represented in a Unified Diagram. The third paper (Part III) provides numerical and empirical results of the Field Theory and benchmarks some traffic flow models presented in the Unified Diagram.

DOI10.1061/41186(421)421