TY - JOUR
T1 - Stochastic modeling of the equilibrium speed-density relationship
AU - Wang, Haizhong
AU - Ni, Daiheng
AU - Chen, Qian Yong
AU - Li, Jia
PY - 2013/1
Y1 - 2013/1
N2 - As the graphical and mathematical representation of relationships among traffic flow, speed, and density, the fundamental diagram has been the foundation of traffic flow theory and transportation engineering. Underlying the fundamental diagram is the speed-density relationship which was originally documented in Greenshields' seminal work and followed by a variety of equilibrium models over the past 75 years. Observed in these efforts was their deterministic nature striving to pursue two seemingly competing goals: mathematical elegance and empirical accuracy, the former of which is attractive to mathematical modeling of traffic dynamics, and the latter is required if such modeling is meant to be realistic. As a continued effort of such a pursuit, this paper presents a stochastic speed-density model. The motivation is twofold: first, it is desirable to have a model which achieves both goals reasonably and second, the stochastic model can potentially lead to probabilistic traffic flow modeling and prediction which is typically not offered by a macroscopic approach.
AB - As the graphical and mathematical representation of relationships among traffic flow, speed, and density, the fundamental diagram has been the foundation of traffic flow theory and transportation engineering. Underlying the fundamental diagram is the speed-density relationship which was originally documented in Greenshields' seminal work and followed by a variety of equilibrium models over the past 75 years. Observed in these efforts was their deterministic nature striving to pursue two seemingly competing goals: mathematical elegance and empirical accuracy, the former of which is attractive to mathematical modeling of traffic dynamics, and the latter is required if such modeling is meant to be realistic. As a continued effort of such a pursuit, this paper presents a stochastic speed-density model. The motivation is twofold: first, it is desirable to have a model which achieves both goals reasonably and second, the stochastic model can potentially lead to probabilistic traffic flow modeling and prediction which is typically not offered by a macroscopic approach.
KW - Karhunen-Loève expansion
KW - fundamental diagram
KW - stochastic speed-density model
UR - http://www.scopus.com/inward/record.url?scp=84872085400&partnerID=8YFLogxK
U2 - 10.1002/atr.172
DO - 10.1002/atr.172
M3 - Article
AN - SCOPUS:84872085400
SN - 0197-6729
VL - 47
SP - 126
EP - 150
JO - Journal of Advanced Transportation
JF - Journal of Advanced Transportation
IS - 1
ER -