TECHNICAL PAPERS
Mar 1, 1990

Estimation of Driver Behavior Model Parameters

Publication: Journal of Transportation Engineering
Volume 116, Issue 2

Abstract

This paper develops methods for the analytical estimation of the critical gap and lag acceptance function parameters from existing major stream headway distribution and acceptance data. The analysis distinguishes between the case in which critical gap and critical lag acceptance functions are assumed to be identical and the case in which they are assumed to be different. An application of the results to a limited number of headway acceptance data sets for the opposed right‐turn movement (in Great Britain) shows that the latter assumption is close to actual driver behavior and that a model that assigns to each driver a critical lag equal to A times his critical gap can be a reasonable representation of reality.

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References

1.
Ashton, W. D. (1971). “Gap acceptance problems at a traffic intersection.” Appl. Stat., 20(2), 130–138.
2.
Ashworth, R. (1968). “A note on the selection of gap acceptance criteria for traffic simulation studies.” Transp. Res., 2(3), 171–175.
3.
Ashworth, R. (1970). “The analysis and interpretation of gap acceptance data.” Transp. Res., 4(3), 270–280.
4.
Ashworth, R., and Bottom, C. G. (1975). “Driver gap acceptance behaviour at priority‐type intersections.” Research Report No. R63, Dept. of Civil and Structural Engineering, Univ. of Sheffield, Sheffield, U.K.
5.
Ashworth, R., and Bottom, C. G. (1977). “Some observations of driver gap‐acceptance behaviour at a priority intersection.” Traffic Engineering and Control, 18(12), 569–571.
6.
Blumenfeld, D. E., and Weiss, G. H. (1978). “Statistics of delay for a driver population with step and distributed gap acceptance functions.” Transp. Res., Vol. 12, 423–429.
7.
Blumenfeld, D. E., and Weiss, G. H. (1979). “The effects of gap acceptance criteria on merging delay and capacity at an uncontrolled junction.” Traffic Engrg. Control, 20(1), 1–5.
8.
Blunden, W. R., Clissold, C. M., and Fisher, R. B. (1962). “Distribution of acceptance gaps for crossing and turning manoeuvres.” Proc. Australian Road Res. Board, 1(1), 188–205.
9.
Bottom, C. G., and Ashworth, R. (1978). “Factors affecting the variability of driver acceptance behaviour.” Ergonomics, 21(9), 721–734.
10.
Cox, D. R., and Smith, W. L. (1954). “On the superposition of renewal processes.” Biometrika, 41(1), 91–99.
11.
Daganzo, C. F. (1981). “Estimation of gap acceptance parameters within and across the population from direct observation.” Transp. Res., 15B(1), 1–15.
12.
Drew, D. R. (1967). “Gap acceptance characteristics for ramp‐freeway surveillance and control.” HRR 157, Highway Research Board, Washington, D.C., 108–135.
13.
Golias, J. C. (1981). “Gap acceptance, delay and capacity for vehicles crossing a priority stream,” thesis presented to the University of London, at London, U.K., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
14.
Herman, R., and Weiss, G. H. (1961). “Comments on the highway crossing problems.” Oper. Res., 9(6), 828–840.
15.
Hewitt, R. H. (1983). “Measuring critical gap.” Transp. Sci., 17(1), 87–109.
16.
Hewitt, R. H. (1985). “A comparison between some methods of measuring critical gap.” Traffic Engrg. and Control, 26(1), 13–22.
17.
Horowitz, J. L. (1982). “Statistical estimation of the parameters of Daganzo's gap acceptance model.” Transp. Res., 16B(5), 373–381.
18.
Mahmassani, H., and Sheffi, Y. (1981). “Using gap sequences to estimate gap acceptance functions.” Transp. Res., 15B(3), 143–148.
19.
McNeil, D. R., and Morgan, J. H. T. (1968). “Estimating minimum gap acceptances for merging motorists.” Transp. Sci., 2(3), 265–277.
20.
McNeil, D. R., and Smith, J. T. (1969). “A comparison of motorist delays for different merging strategies.” Transp. Sci., 3(3), 239–254.
21.
Miller, A. J. (1972). “Nine estimators of gap acceptance parameters.” Proc. 5th Int. Symp. on Theory of Traffic Flow and Transportation, G. Newell, ed., 215–235.
22.
Mood, M. A., Graybill, F. A., and Boes, D. C. (1982). Introduction to the theory of statistics. 3d Ed., McGraw‐Hill Company, Tokyo, Japan.
23.
Nicholl, J. P. (1979). “A study of the use of EM algorithm for fitting distribution to censored gap acceptance data,” thesis presented to the Department of Statistics, Polytechnic of North London, at London, U.K., in partial fulfillment of the requirements for the degree of Master of Science.
24.
Raff, M. S., and Hart, J. W. (1950). A volume warrant for urban stop signs. Eno Foundation for Highway Traffic Control. Saugatuck, Conn.
25.
Ramsey, J. B. H., and Routledge, I. W. (1973). “A new approach to the analysis of gap acceptance times.” Traffic Engrg. Control, 15(7), 355–357.
26.
Solberg, P., and Oppenlander, J. C. (1966). “Lag and gap acceptances at stop‐controlled intersection.” HRR 118, Highway Research Board, Washington, D.C., 48–68.
27.
Uber, C. B. (1978). “Comparison of acceptance gaps and lags.” Proc. 9th Australian Road Res. Board, 9(5), 61–69.
28.
Wagner, F. A. (1966). “An evaluation of fundamental driver decisions and reactions at an intersection.” HRR 118, Highway Research Board, Washington, D.C., 68–84.
29.
Weiss, G. H., and Maradudin, A. A. (1962). “Some problems in traffic delay.” Oper. Res., 10(1), 74–104.

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Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 116Issue 2March 1990
Pages: 153 - 166

History

Published online: Mar 1, 1990
Published in print: Mar 1990

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Authors

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John C. Golias
Lect., Dept. of Civ. Engrg., Nat. Tech. Univ., Athens, Greece
George C. Kanellaidis
Lect., Dept. of Civ. Engrg., Nat. Tech. Univ., Athens, Greece

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