Queue length estimation for a metered on-ramp using mesoscopic simulation

Abstract This paper proposed an analytical method for queue length modeling at a metered on-ramp, and developed a mesoscopic simulation model for queue length estimation under various demand-to-capacity scenarios. Queue length data were collected at four representative ramp metering locations for model validation; results showed that the queue length modeling method could properly capture the realistic queue profile, and the estimated queue lengths were close to the field observations. It was found that for under-saturated scenarios, queue length showed an exponential increasing trend with demand-to-capacity ratio; while for over-saturated scenarios, the queue length tended to increase linearly with demand-to-capacity ratio. Simulation results indicated that for under-saturated conditions, the required queue storage length was approximately 5.7 percent of on-ramp demand when demand was less than 500 vphpl, or 3.9 percent when demand was between 500 and 900 vphpl.

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

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

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

[4]  Darcy M. Bullock,et al.  Input–Output and Hybrid Techniques for Real-Time Prediction of Delay and Maximum Queue Length at Signalized Intersections , 2007 .

[5]  Markos Papageorgiou,et al.  A Ramp Queue Length Estimation Algorithm , 2006, 2006 IEEE Intelligent Transportation Systems Conference.

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

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

[8]  C J Messer,et al.  Distance requirements for ramp metering , 1994 .

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

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

[11]  Zongzhong Tian,et al.  RAMP METERING ALGORITHMS AND APPROACHES FOR TEXAS , 2004 .

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

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

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

[15]  Norman T. J. Bailey,et al.  On Queueing Processes with Bulk Service , 1954 .

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

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

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

[19]  Carlos F. Daganzo,et al.  Using Input-Output Diagram To Determine Spatial and Temporal Extents of a Queue Upstream of a Bottleneck , 1997 .

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

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

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

[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]  C J Messer,et al.  DESIGN CRITERIA FOR RAMP METERING: APPENDIX TO TXDOT ROADWAY DESIGN MANUAL , 2000 .

[26]  Twin Cities Ramp Meter Evaluation - Final Report , 2001 .