Optimization of congested traffic by controlling stop-and-go waves

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 65, Issue 6, 2002, Pages

  Tomer, Elad ^a   Safonov, Leonid ^a,b   Madar, Nilly ^a   Havlin, Shlomo ^a  

^a BAR ILAN UNIVERSITY   (Israel)

^b VORONEZH STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FUNCTIONS; GRAPH THEORY; MATHEMATICAL MODELS; RANDOM PROCESSES;

CONGESTED TRAFFIC; GENERALIZED FUNDAMENTAL DIAGRAMS (GFD); STOCHASTIC CAR FOLLOWING MODELS; TRAFFIC FLOW;

HIGHWAY TRAFFIC CONTROL;

EID: 37649027805     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.065101     Document Type: Article

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26. The period of yellow light is realized as follows. When the light is changed from green to yellow, all simulated drivers upstream to the intersection estimate the intersection crossing time (Formula presented) by a linear extrapolation of their position. The first car that begins to stop, s, is the first car that is not able to cross before the light changes to red, i.e., (Formula presented). For this car, (Formula presented) in Eq. (1) is replaced with the distance between s and the traffic lights. The consecutive cars follow s and stop according to Eq. (1). Due to this procedure cars can still cross the intersection during time (Formula presented)
27. These oscillations are caused by the discrete nature of the flowing media and by the fact that all drivers are identical. Thus, the magnitude of these oscillations is highest for (Formula presented), for which the crossing times in each cycle are the same, and is in the order of (Formula presented).
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