Gap Acceptance at Priority-Controlled Intersections
Publication: Journal of Transportation Engineering
Volume 137, Issue 4
Abstract
Critical gap is the threshold by which drivers in the minor stream judge whether to accept a gap. If the gap is larger than critical gap, drivers accept it and enter the intersection; otherwise, drivers reject the gap and wait for the next gap. At a priority-controlled intersection, critical gap is usually considered as a fixed value or to follow a certain distribution. The major stream and minor stream are both one-way traffic flows at the priority-controlled intersection. Vehicles in the major stream have priority to run into conflict sections, and vehicles in the minor stream can enter conflict sections during the larger gap of two successive vehicles in the major stream. The capacity of minor roads is the maximum number of vehicles that can pass the intersection during a special period under prevailing roadway, traffic, and control conditions. Under a few assumptions, the survey method of rejected gaps and accepted gaps was designed. Four new calculation models of the critical gap are proposed. The probability function of rejected gap and accepted gap can be deduced by exponential rejected proportion function. Some important relations among variables of these functions can be obtained. The typical capacity functions were improved in terms of accepted proportion function.
Get full access to this article
View all available purchase options and get full access to this article.
References
Akcelik, R., and Chung, E. (1994). “Calibration of the bunched exponential distribution of arrival headways.” Road Trans. Res., 3(1), 42–59.
Brilon, W. (1995). Methods for measuring critical gap. Ruhr Univ., Bochum, Germany.
Brilon, W., Koenig, R., and Troutbeck, R. J. (1999). “Useful estimation procedures for critical gaps.” Transp. Res. Part A, 33, 161–186.
Cowan, R. C. (1975). “Useful gap models.” Transportation Research, 9(6), 371–375.
Drew, R. S. (1968). Traffic flow theory and control, McGraw-Hill, New York.
Hamet, M. M., Easa, S. M., and Batayneh, R. (1997). “Disaggregate gap-acceptance model for unsignalized T-intersections.” J. Transp. Eng., 123(1), 36–42.
Harders, J. (1968). “Die Leistungsfa¨ higkeit nicht signalgeregelter staedtischer Verkehrsknotenpunkte. (Capacity of Urban Unsignalized Intersections).” Series Strassenbau und Strassenverkehrstechnik, No. 76 (in German).
Hewitt, R. H. (1983). “Measuring critical gap.” Transp. Sci., 17(1), 87–109.
Jacobs, F. (1980). “Analyse von Zeitluckenverteilung instationarem Verkehr.” Technical Rep., Institute fur Starbenbau und Verkehrswesen, Univ. Stuttgart (in German).
Kimber, R. M. (1989). “Gap-acceptance and empiricism in capacity prediction.” Transp. Sci., 23(2). 100–111.
Luttinen, R. T. (1996). “Statistical analysis of vehicle time gaps.” Trans. Engineering Publication 87, Helsinki Univ. of Technology, Otaniemi, Finland.
Miller, A. J. (1972). “Nine estimators for gap-acceptance parameters.” Proc. of the Int. Symp. on the Theory of Traffic Flow and Transportation, G. Newell, ed., Elsevier, Berkeley, CA.
Plank, A. W., and Catchpole, E. A. (1984). “A general capacity formula for uncontrolled intersection.” Traffic Eng. Control, 25, 327–329.
Raff, M. S., and Hart, J. W. (1950). “A volume warrant to urban stop signs.” Eno Foundation for Highway Traffic Control, Saugatuck, CN.
Siegloch, W. (1973). “Die Leistungsermittlung an Knotenpunkten ohne Lichtsignalsteuerung.” Schriftenreihe Strabenbau und strabenverkehrstechnik, No. 154 (in German).
Tanyel, S., Baran, T., and Ozuysal, M. (2005). “Determining the capacity of single-lane roundabouts in Izmir, Turkey.” J. Transp. Eng., 131(12), 953–956.
Tian, Z. Z., et al. (1999). “Implementing the maximum likelihood methodology to measure a driver’s critical gap.” Transp. Res. Part A, 33, 187–197.
Transportation Research Board (TRB). (2000). Highway capacity manual, National Research Council, Washington, DC.
Troutbeck, R. J. (1992). “Estimating the critical acceptance gap from traffic movements.” Physical Infrastructure Center Report, Queensland Univ. of Technology, Queensland, Australia.
Troutbeck, R. J. (1995). “The capacity of a limited priority merge.” Physical Infrastructure Centre Research Rep. 95-8, Queensland University of Technology, Brisbane.
Troutbeck, R. J., and Brilon, W. (1997). “Unsignalized intersection theory, revised traffic flow theory.” 〈http://www.tongji.edu.cn/~yangdy/its/tft/chap8.pdf〉 (Sep. 2009).
Troutbeck, R. J., and Soichiro, K. (1999). “Limited priority merge at unsignalized intersections.” Transp. Res. Part A, 33, 291–304.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 137 • Issue 4 • April 2011
Pages: 269 - 276
Copyright
© 2011 American Society of Civil Engineers.
History
Received: May 4, 2010
Accepted: Aug 27, 2010
Published online: Mar 15, 2011
Published in print: Apr 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.