Traffic and Granular Flow’01 2003
DOI: 10.1007/978-3-662-10583-2_15
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Kinetic Theory of Traffic Flows

Abstract: Abstract. We describe traffic flows in one lane roadways using kinetic theory, with special emphasis on the role of quenched randomness in the velocity distributions. When passing is forbidden, growing clusters are formed behind slow cars and the cluster velocity distribution is governed by an exact Boltzmann equation which is linear and has an infinite memory. The distributions of the cluster size and the cluster velocity exhibit scaling behaviors, with exponents dominated solely by extremal characteristics o… Show more

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Cited by 6 publications
(1 citation statement)
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“…First of all, we consider several models of vehicular traffic. Modeling vehicular traffic [ 211 , 212 , 213 , 214 , 215 , 216 , 217 , 218 , 219 , 220 , 221 , 222 , 223 , 224 , 225 , 226 , 227 , 228 ] is an important task as this traffic is connected to large social problems, such as environmental pollution and the congestion of cities. It is important froman economic and social point of view to have rational planning and management of vehicle flows.…”
Section: Models Of Network Flows Containing Differential Equationsmentioning
confidence: 99%
“…First of all, we consider several models of vehicular traffic. Modeling vehicular traffic [ 211 , 212 , 213 , 214 , 215 , 216 , 217 , 218 , 219 , 220 , 221 , 222 , 223 , 224 , 225 , 226 , 227 , 228 ] is an important task as this traffic is connected to large social problems, such as environmental pollution and the congestion of cities. It is important froman economic and social point of view to have rational planning and management of vehicle flows.…”
Section: Models Of Network Flows Containing Differential Equationsmentioning
confidence: 99%