2014/12/20 by Tal Cohen, Rohan Abeyaratne, Cohen, Tal +1
Engineering · Physics and Astronomy · Social Sciences · #Evacuation and Crowd Dynamics #FOS: Physical sciences #Physics and Society (physics.soc-ph) #Traffic control and management #Transportation Planning and Optimization #physics.soc-ph
paper · pdf · doi:10.48550/arxiv.1412.7371
arxiv created 2014/12/20 · openalex publication_date 2014/12/20 · arxiv updated 2015/04/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem is obtained, and it is used to describe several phenomena. Specifically, the scenarios examined involve a smooth velocity field in stop-and-go traffic, a discontinuous velocity field with shock waves in a traffic light problem, and discontinuous displacement fields in a problem where a single platoon of vehicles splits into two, and later merges back into one.