Modeling and simulation of traffic flow in work zone on highway

We investigate behaviors of vehicles passing a work zone on two-lane highway. The traffic flow mathematical model is formulated based on optimal velocity model and safe lane-changing rules for two-lane traffic flow are given. The typical sketch of work zone is plotted and four posted speed limit signs are set in the work zone to control the traffic flow speed for fear of accident and congestion. Simulations are carried out to examine the lane-changing behavior and the influence on traffic flow in work zone with different number of the speed limit signs under periodic boundary conditions. The simulations show that lane-changing may lead to the congestion or collision while the more speed limit signs may reduce the risk of rear-end collision and the occurrence of the congestion in work zone.

[1]  Gang-Len Chang,et al.  Exploring the Effectiveness of Variable Speed Limit Controls on Highway Work-Zone Operations , 2004, J. Intell. Transp. Syst..

[2]  Wen-xing Zhu,et al.  A total generalized optimal velocity model and its numerical tests , 2008 .

[3]  Huang Hai-Jun,et al.  Analysis of Density Wave in Two-Lane Traffic , 2007 .

[4]  Akihiro Nakayama,et al.  Dynamical model of a cooperative driving system for freeway traffic. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  Jia Lei,et al.  Nonlinear Analysis of a Synthesized Optimal Velocity Model for Traffic Flow , 2008 .

[6]  Analysis of Density Wave in Two-Lane Traffic , 2007 .

[7]  Lei Jia,et al.  STABILITY AND KINK–ANTIKINK SOLITON SOLUTION FOR TOTAL GENERALIZED OPTIMAL VELOCITY MODEL , 2008 .

[8]  R. Sollacher,et al.  Multi-anticipative car-following model , 1999 .

[9]  Nakayama,et al.  Dynamical model of traffic congestion and numerical simulation. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[10]  Karin M Bauer,et al.  Work Zone Speed Limit Procedure , 1999 .

[11]  S. Dai,et al.  Stabilization effect of traffic flow in an extended car-following model based on an intelligent transportation system application. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  T. Nagatani Stabilization and enhancement of traffic flow by the next-nearest-neighbor interaction. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Akihiro Nakayama,et al.  Equivalence of linear response among extended optimal velocity models. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Gang-Len Chang,et al.  Optimal Dynamic Speed-Limit Control for Highway Work Zone Operations , 2004 .

[15]  A. Hegyi,et al.  Optimal Coordination of Variable Speed Limits to Suppress Shock Waves , 2002, IEEE Transactions on Intelligent Transportation Systems.

[16]  Gang-Len Chang,et al.  A robust model for optimal time-of-day speed control at highway work zones , 2006, IEEE Transactions on Intelligent Transportation Systems.

[17]  R. Jiang,et al.  Full velocity difference model for a car-following theory. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  L. A. Pipes An Operational Analysis of Traffic Dynamics , 1953 .

[19]  Z.-P. Li,et al.  Analysis of stability and density waves of traffic flow model in an ITS environment , 2006 .