Impacts of traffic flow arrival pattern on the necessary queue storage space at metered on-ramps

ABSTRACT This paper compares queue lengths at the two different on-ramp configurations: arterial-to-freeway ramp and freeway-to-freeway connector. Mesoscopic queue length simulation models are developed based on the input-output method. The input-output method aims to model the traffic flow arrival profile; then, the mesoscopic simulation model generates random traffic volume to simulate the stochasticity of traffic flow. The simulation models are validated using field-collected data. Simulation results indicated that the traffic flow arrival pattern has significant impacts on ramp queue length; vehicle platoons released from the upstream signalized intersection tend to exacerbate ramp queue length. At metered ramps, the required queue storage length is found to be 5.7% of demand when demand is less than 500 vehicles per hour per lane (vphpl), or 3.9% when demand is greater than 500 vehicles per hour per lane (vphpl). In comparison, at metered connectors, the percent numbers are 4.7 and 2.1%, respectively.

[1]  Shih-Pin Chen Parametric nonlinear programming approach to fuzzy queues with bulk service , 2005, Eur. J. Oper. Res..

[2]  David M Levinson,et al.  Ramp Metering and Freeway Bottleneck Capacity , 2009 .

[3]  Pravin Varaiya,et al.  Analysis of Queue Estimation Methods Using Wireless Magnetic Sensors , 2011 .

[4]  Shubin Li,et al.  Effects of speed bottleneck on traffic flow with feedback control signal , 2016 .

[5]  Markos Papageorgiou,et al.  Local Ramp Metering in Random-Location Bottlenecks Downstream of Metered On-Ramp , 2010 .

[6]  D. Heidemann Queue length and delay distributions at traffic signals , 1994 .

[7]  Xuegang Jeff Ban,et al.  Real time queue length estimation for signalized intersections using travel times from mobile sensors , 2011 .

[8]  Peng Hao,et al.  Cycle-by-cycle intersection queue length distribution estimation using sample travel times , 2014 .

[9]  Henry X. Liu,et al.  Real-time queue length estimation for congested signalized intersections , 2009 .

[10]  Edward Chung,et al.  Traffic Queue Estimation for Metered Motorway On-Ramps through use of Loop Detector Time Occupancies , 2013 .

[11]  Markos Papageorgiou,et al.  Queue Management Techniques for Metered Freeway On-Ramps , 2010 .

[12]  C J Messer,et al.  RAMP-METERING DESIGN AND OPERATIONS GUIDELINES FOR TEXAS , 2000 .

[13]  Zongzhong Tian Development and evaluation of operational strategies for providing an integrated diamond interchange ramp-metering control system , 2004 .

[14]  Gurcan Comert,et al.  Simple analytical models for estimating the queue lengths from probe vehicles at traffic signals , 2013 .

[15]  Xinkai Wu,et al.  Improving Queue Size Estimation for Minnesota's Stratified Zone Metering Strategy , 2007 .

[16]  Daqing Gong,et al.  Experiment to Improve Estimation of Vehicle Queue Length at Metered On-Ramps , 2009 .

[17]  Xinkai Wu,et al.  Real-time estimation of arterial travel time under congested conditions , 2012 .

[18]  David M Levinson,et al.  Ramp Meters on Trial: Evidence from the Twin Cities Metering Holiday , 2006 .

[19]  Markos Papageorgiou,et al.  Real-time estimation of vehicle-count within signalized links , 2008 .

[20]  Markos Papageorgiou,et al.  Freeway ramp metering: an overview , 2002, IEEE Trans. Intell. Transp. Syst..

[21]  Alexandre M. Bayen,et al.  Delay Pattern Estimation for Signalized Intersections Using Sampled Travel Times , 2009 .

[22]  Francesco Viti,et al.  Probabilistic models for queues at fixed control signals , 2010 .

[23]  Nagui M. Rouphail,et al.  OVERFLOW QUEUES AND DELAYS WITH RANDOM AND PLATOONED ARRIVALS AT SIGNALIZED INTERSECTIONS , 1994 .

[24]  Panos G Michalopoulos,et al.  Evaluation of Ramp Control Effectiveness in Two Twin Cities Freeways , 2002 .

[25]  Rahmi Akcelik Progression Factor for Queue Length and Other Queue-Related Statistics , 1996 .

[26]  Kevin Balke,et al.  Modeling Impact of Ramp Metering Queues on Diamond Interchange Operations , 2004 .

[27]  Robert L. Gordon,et al.  Algorithm for Controlling Spillback from Ramp Meters , 1996 .

[28]  Zhongren Wang,et al.  Queue Storage Design for Metered On-Ramps , 2013 .

[29]  William H. K. Lam,et al.  Distributions of queue lengths at fixed time traffic signals , 1996 .

[30]  U. Narayan Bhat,et al.  On Single-Server Bulk-Queuing Processes with Binomial Input , 1964 .

[31]  Jingcheng Wu,et al.  Methodologies for Estimating Vehicle Queue Length at Metered On-Ramps , 2008 .

[32]  Nikolas Geroliminis,et al.  Queue Profile Estimation in Congested Urban Networks with Probe Data , 2015, Comput. Aided Civ. Infrastructure Eng..

[33]  T Fischer,et al.  DEVELOPMENT OF THE WISCONSIN DEPARTMENT OF TRANSPORTATION INTELLIGENT TRANSPORTATION SYSTEM (ITS) DESIGN MANUAL , 2002 .

[34]  Mats Wiklund,et al.  Effects of desired speeds for queuing and delay on single-lane road segments , 2015 .

[35]  Refael Hassin,et al.  Equilibrium Arrivals in Queues with Bulk Service at Scheduled Times , 1987, Transp. Sci..