Exploring the effects of work zone on vehicular flow on ring freeways with a tunnel using a three-lane continuum model  

作　　者：Shan Li M.N.Smirnova Shanjun Yang N.N.Smirnov Zuojin Zhu 

机构地区：[1]CAS Key Laboratory of Mechanical Behavior and Design of Materials,Department of Modern Mechanics,University of Science and Technology of China,Hefei 230022,China [2]Faculty of Mechanics and Mathematics,Lomonosov Moscow State University,Moscow 119992,Russia [3]Scientific Research Institute for System Analysis,Russian Academy of Sciences,Moscow 117218,Russia [4]Moscow Center for Fundamental and Applied Mathematics,Moscow 119991,Russia [5]Physical Education Center,USTC,Hefei 230026,China

出　　处：《International Journal of Transportation Science and Technology》2024年第2期27-41,共15页交通科学与技术(英文)

基　　金：supported by the National Natural Science Foundation of China(No.11972341);the fundamental research project of Lomonosov Moscow State University‘Mathematical models for multi-phase media and wave processes in natural,technical and social systems’.

摘　　要：Freeway work zone forms as a result of traffic crash or road rehabilitation.To ascertain the effects of work zone with lane II completely blocked on vehicular flow on ring freeways with a tunnel,a three-lane continuum model is put forward.The mandatory net lanechanging rate from lane II to lane I or III just upstream of the work zone is described by a random number model,with the random number being produced within a small range around a median based on a golden section analysis.The net-changing rate between adjacent lanes is described using a lane-changing time on the basis of an assumption:the time ratio to relaxation time equals infinity when the absolute value of traffic densities between the two adjacent lanes is less than 1 veh/km,implying that the net-changing rate is zero;otherwise,the time ratio is inversely proportional to the vehicular spatial headway,which is equal to unity for traffic flow at saturation state,but infinity when the traffic flow is completely jammed.It is assumed that the freeway is a three lane ring with a total length of 100 km,and has a tunnel with a speed limit of 60 km/h and a length of 1.6 km located downstream the work zone with a length of 0.16 km.The free flow speeds on lanes I,II,and III are 120 km/h,100 km/h,and 85 km/h,respectively.For the vehicular flow on the ring freeway with a tunnel,numerical simulations based on the three-lane continuum model are carried out with a reliable numerical method of high accuracy.It is found that the vehicular flow has two thresholds of traffic jam formation,one depending upon the tunnel and the other upon the work zone.The tunnel triggers a traffic jam when the initial density normalized by jam density is equal to the first threshold 0.15,and the work zone originates another traffic jam when the normalized initial density equals the second threshold 0.19.The freeway tunnel plays a dominant role in the prediction of mean travel time as soon as the tunnel has generated a traffic jam at the tunnel entrance.For the vehicular flow at unsaturate

关 键 词：Work zone Three-lane continuum model Vehicular lane changing time Vehicle fuel consumption Threshold of traffic jam formation 

分 类 号：U49[交通运输工程—交通运输规划与管理]