TY - JOUR
T1 - Metastable flows in a two-lane traffic model equivalent to extended Burgers cellular automaton
AU - Fukui, Minoru
AU - Nishinari, Katsuhiro
AU - Takahashi, Daisuke
AU - Ishibashi, Yoshihiro
PY - 2002/1/1
Y1 - 2002/1/1
N2 - A two-lane cellular automaton traffic model equivalent to the extended Burgers cellular automaton has been proposed, and evolution equations for cars on the two-lane road are obtained. Configurations of cars on the road are simulated by using the equations and many metastable local congested states are found in two-dimensional region on density-flow diagram. There are three typical states in the congested states: The first is that cars advance by stop- and go-flow on their own lanes without lane-change and values of the flow are stable in time. The second is that cars change the lane periodically with several time-steps. The third is that they advance changing the lane that induces fluctuating of the flow with extremely long period. This fluctuating flow exists in wide range between car densities 5/12 and 3/4. The metastable states are discussed in connection with the synchronized states observed in the traffic flow on expressway.
AB - A two-lane cellular automaton traffic model equivalent to the extended Burgers cellular automaton has been proposed, and evolution equations for cars on the two-lane road are obtained. Configurations of cars on the road are simulated by using the equations and many metastable local congested states are found in two-dimensional region on density-flow diagram. There are three typical states in the congested states: The first is that cars advance by stop- and go-flow on their own lanes without lane-change and values of the flow are stable in time. The second is that cars change the lane periodically with several time-steps. The third is that they advance changing the lane that induces fluctuating of the flow with extremely long period. This fluctuating flow exists in wide range between car densities 5/12 and 3/4. The metastable states are discussed in connection with the synchronized states observed in the traffic flow on expressway.
KW - Extended Burgers CA
KW - Metastable state
KW - Synchronized flow
KW - Traffic model
UR - http://www.scopus.com/inward/record.url?scp=0036156163&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0036156163&partnerID=8YFLogxK
U2 - 10.1016/S0378-4371(01)00481-2
DO - 10.1016/S0378-4371(01)00481-2
M3 - Article
AN - SCOPUS:0036156163
SN - 0378-4371
VL - 303
SP - 226
EP - 238
JO - Physica A: Statistical Mechanics and its Applications
JF - Physica A: Statistical Mechanics and its Applications
IS - 1-2
ER -