Cumulative Interarrival Time Distributions of Freeway Entrance Ramp Traffic for Traffic Simulations

  • Erdinç Öner
Keywords: signalized, non-signalized, traffic modelling, headway, Kolmogorov-Smirnov test

Abstract

Cumulative interarrival time (IAT) distributions for signalized and non-signalized freeway entrance ramps were developed to be used in digital computer traffic simulation models. The data from four different non-signalized entrance ramps (three ramps with a single lane, one ramp with two lanes) and two different signalized entrance ramps (both with a single lane) were used for developing the cumulative IAT distributions. The cumulative IAT distributions for the signalized and non-signalized entrance ramps were compared with each other and with the cumulative IAT distributions of the lanes for freeways. The comparative results showed that the cumulative IAT distributions for non-signalized entrance ramps are very close to the leftmost lane of a 3-lane freeway where the maximum absolute difference between the cumulative IAT distribution of the leftmost lane of a 3-lane freeway and the entrance ramps cumulative IAT distribution was 3%. The cumulative IAT distribution for the signalized entrance ramps was found to be different from the non-signalized entrance ramp cumulative IAT distribution. The approximated cumulative IAT distributions for signalized and non-signalized entrance ramp traffic for any hourly traffic volume from a few vehicles/hour up to 2,500 vehicles/hour can be obtained at http://www.ohio.edu/orite/research/uitds.cfm.

References

May, A.D.: Traffic Flow Fundamentals. Prentice Hall Inc., 1990, pp.11-51

Pline, J.L.: Traffic Engineering Handbook. Institute of Transportation Engineers, 5th Edition, 1999, pp.84.

Buckley, D.J.: A Semi-Poisson Model of Traffic Flow, Transportation Science, Volume 2, Number 2, 1968, pp. 107-133

Wasielewski, P.: Car Following Headways on Freeways Interpreted by Semi-Poisson Headway Distribution Model, Transportation Science, Volume 13, Number 1, 1979, pp. 36-55

Mei, M. and Bullen, A.G.: Lognormal Distribution for High Traffic Flows, Transportation Research Record, Number 1398, 1993, pp. 125-128

Tolle, J.E.: The Lognormal Headway Distribution Model, Traffic Engineering and Control, Volume 13, Number 1, 1971, pp. 22-24

Sadeghhosseini, S., and Benekohal R. F.: Headway Models for Low to High Volume Highway Traffic, Proceedings of the Transportation Research Board Annual Meeting, National Research Council, Washington, D.C., 2002

Khasnabis, S. and Heimbach C.L.: Headway-Distribution Models for Two-Lane Rural Highways, Transportation Research Record, Number 772, 1980, pp. 44-50

Sullivan, D. and Troutbeck, R.: The Use of Cowan’s M3 Headway Distribution for Modeling Urban Traffic Flow, Traffic Engineering and Control, Volume 35, Number 7, 1994, pp. 445-450.

Zwahlen, H.T., Russ, A., Oner, E., and Parthasarathy, M.: Evaluation of Microwave Radar Trailers for Nonintrusive Traffic Measurements. Transportation Research Record, Number 1917, 2005, pp.127-140

Zwahlen, H.T., Oner, E., and Suravaram, K.R.: Approximated Headway Distributions of Free-Flowing Traffic on Ohio Freeways for Work Zone Traffic Simulations. Transportation Research Record, Number 1999, 2007, pp.131-140

Chu, L., Liu, H.X., Recker, W., and Zhang, H.M.: Performance Evaluation of Adaptive Ramp-Metering Algorithms Using Microscopic Traffic Simulation Model, Journal of Transportation Engineering, Vol. 130, No. 3, 2004, pp. 330-338

Smaragdis, E., Papageorgiou, M., and Kosmatopoulos, E.: A Flow-Maximizing Adaptive Local Ramp Metering Strategy, Transportation Research. Part B, Methodological, Vol. 38B, No. 3, 2004, pp. 251-270

Taylor, J.C., McKenna, P.G., Young, P.C., Chotai, A., and MacKinnon, M.: Macroscopic Traffic Flow Modelling and Ramp Metering Control using Matlab/Simulink, Environmental Modelling and Software, Vol. 19, No. 10, 2004, pp. 975-988

Kwon, E., Nanduri, S., Lau, R., and Aswegan, J.: Comparative Analysis of Operational Algorithms for Coordinated Ramp Metering, Transportation Research Record, Number 1748, 2001, pp. 144-152

Bellemans, T., De Schutter, B., and De Moor, B.: Model Predictive Control for Ramp Metering of Motorway Traffic: A Case Study, Control Engineering Practice, Vol. 14, 2006, pp. 757-767

Microsoft Live Search Maps, http://maps.live.com/. Accessed December 18, 2011

Suravaram, K. Modeling the Interarrival Times for Non-Signalized Freeway Entrance Ramps, Master’s Thesis, Ohio University, 2007.

Siegel, S.: Nonparametric Statistics for the Behavioral Sciences. McGraw-Hill Book Company, Inc., New York, 1956, p.131

Steel, R.G.D. and Torrie, J.H.: Principles and Procedures of Statistics. McGraw-Hill, New York, 1960, pp. 187- 287

How to Cite
1.
Öner E. Cumulative Interarrival Time Distributions of Freeway Entrance Ramp Traffic for Traffic Simulations. Promet [Internet]. 1 [cited 2024Nov.21];25(1):1-12. Available from: https://traffic.fpz.hr/index.php/PROMTT/article/view/1242
Section
Articles