Disaggregate Gap-Acceptance Model for Unsignalized T-Intersections
Publication: Journal of Transportation Engineering
Volume 123, Issue 1
Abstract
This paper develops a system of disaggregate models that accounts for the effect of intersection, driver, and traffic characteristics on gap acceptance for left-turn maneuvers at urban T-intersections controlled by stop signs on the minor roads. The waiting time for each driver is first modeled using the hazard function. The binary probit model is then used to find the drivers' probabilities of accepting or rejecting a gap. These probabilities are used to calculate the critical gaps of individual drivers. The expected waiting time is included in the model as an explanatory variable. A multiple regression model is used for predicting the intersection mean critical gap. To estimate the parameters of the models, disaggregate data were collected by observing and interviewing drivers at 15 urban T-intersections in the Greater Amman area. The results show that the distribution of critical gaps is influenced by driver socioeconomic characteristics, expected waiting time, time of day, and trip purpose. The mean critical gap is influenced by total opposing traffic flow, number of major-approach lanes, presence of a median with a left-turn lane, maneuver type, speed of major road, and time of day. The proposed methodology can be used to calculate the critical gaps of individual drivers and, in turn, the mean critical gap at a specified intersection that is needed for delay and capacity analysis.
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References
1.
Adebisi, O., and Sama, G. N.(1989). “Influence of stopped delay on driver gap acceptance behavior.”J. Transp. Engrg., ASCE, 115(3), 305–315.
2.
Ashworth, R., and Bottom, C. G.(1977). “Some observations of driver gap-acceptance behavior at a priority intersection.”Transp. Engrg., 18(2), 569–571.
3.
Batayneh, R. (1994). “Stochastic model for the estimation of driver gap-acceptance parameters at unsignalized intersection,” MS thesis, Jordan Univ. of Sci. and Technol., Irbid, Jordan.
4.
Ben-Akiva, M., and Lerman, S. (1985). Discrete choice analysis: theory and application to travel demand. MIT Press, Cambridge, Mass.
5.
Brilon, W., ed. (1988, 1991). Intersections without traffic signals, Parts I and II. Springer-Verlag KG, Berlin, Germany.
6.
Cooper et al.(1976). “Traffic studies at T-junctions, 1: The effect of approach speed in merging gap acceptance.”Traffic Engrg. and Control, London, England, 17(6), 256–257.
7.
Cox, D. R. (1972). “Regression models and life-tables.”J. the Royal Statistical Soc., 34B, 187–220.
8.
Daganzo, C. F. (1979). Multinomial probit: the theory and its application to demand forecasting. Academic Press, Inc., New York, N.Y.
9.
Daganzo, C. F. (1981). “Estimation of gap acceptance parameters within and across the population from direct roadside observation.”Transp. Res., 15B(1), 1–15.
10.
Daganzo, C. F., ed. (1993). Transportation and traffic theory. American Elsevier Publishing Co., New York, N.Y.
11.
Darzentas et al.(1980). “Driver behaviour at T-junction in day light and darkness.”Traffic Engrg. and Control, London, England, 21(4), 186–189.
12.
Drew, D. R. (1967). “Gap acceptance characteristics for ramp-freeway surveillance and control.”Hwy. Res. Rec., 157, Nat. Res. Council, Washington, D.C., 108–143.
13.
Fitzpatrick, K. (1991). “Gaps accepted at stop-controlled intersections.”Transp. Res. Rec., 1303, Nat. Res. Council, Washington, D.C., 103–112.
14.
Fleming, T. R., and Harrington, D. P. (1990). Counting process and survival analysis. John Wiley & Sons, Inc., New York, N.Y.
15.
Hamed, M. M., and Mannering, F. L.(1993). “Modelling travellers' postwork activity involvement: toward a new methodology.”Transp. Sci., 27(4), 381–394.
16.
Hansson et al. (1978). “Swedish capacity manual. Part 2: Capacity of unsignalized intersections.”Transp. Res. Rec. 667, Nat. Res. Council, Washington, D.C., 4–7.
17.
Hensher, D. A., and Mannering, F. L.(1994). “Hazard-based duration models and their application to transportation analysis.”Transport Rev., 14(1), 63–82.
18.
Herman, R., and Weiss, G. H.(1961). “Comments on the highway crossing problem.”Operations Res., 9, 828–840.
19.
Hewitt, R. H.(1985). “A comparison between some methods of measuring critical gap.”Traffic Engrg. and Control, London, England, 26(1), 13–22.
20.
Highway Capacity Manual: Special Report 209. (1994). Transp. Res. Board, Nat. Res. Council, Washington, D.C.
21.
Khattak, A. J., and Jovanis, P. P. (1992). “Capacity and delay estimation for priority unsignalized intersections: conceptual and empirical issues.”Transp. Res. Rec. 1287, Nat. Res. Council, Washington, D.C., 129–137.
22.
Maher, M. J., and Dowse, R. J.(1983). “Estimating parameters in models of gap acceptance by queues.”Traffic Engrg. and Control, London, England, 24(5), 252–255.
23.
Mahmassani, H., and Sheffi, Y. (1981). “Using gap sequences to estimate gap acceptance functions.”Transp. Res., 15B(3), 143–148.
24.
Mannering, F. L., and Hamed, M. M. (1990). “Occurrence, frequency, and duration of commuters' work-to-home departure delay.”Transp. Res., 24B(2), 99–109.
25.
Maze, T. H. (1981). “A probabilistic model of gap acceptance behavior.”Transp. Res. Rec. 795, Nat. Res. Council, Washington, D.C., 8–13.
26.
Miller, A. J. (1972). “Nine estimators of gap-acceptance parameters.”Traffic flow and transportation, G. Newell, ed., American Elsevier Publishing Co., New York, N.Y.
27.
Polus, A.(1983). “Gap acceptance characteristics at unsignalized urban intersections.”Traffic Engrg. and Control, London, England, 24(5), 255–258.
28.
Polus, A.(1985). “Driver behavior and accident records at unsignalized urban intersections.”Accident Anal. and Prevention, 17(1), 25–32.
29.
Solberg, P., and Oppenlander, J. C. (1965). “Lag and gap acceptance at stop-controlled intersections.”Hwy. Res. Rec. 118, Nat. Res. Council, Washington, D.C., 48–67.
30.
Wennell, J., and Cooper, D. F.(1981). “Vehicle and driver effects on junction gap acceptance.”Traffic Engrg. and Control, London, England, 22(12), 628–632.
Information & Authors
Information
Published In
Journal of Transportation Engineering
Volume 123 • Issue 1 • January 1997
Pages: 36 - 42
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jan 1, 1997
Published in print: Jan 1997
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