Technical Papers
Mar 6, 2017

Discrete Choice Models for Gap Acceptance at Urban Expressway Merge Sections Considering Safety, Road Geometry, and Traffic Conditions

Publication: Journal of Transportation Engineering, Part A: Systems
Volume 143, Issue 7

Abstract

A number of discrete choice models, including a multinomial logit model (MNL), a nested logit model (NL), and a latent choice set model (LCS), are applied to the representation of gap acceptance by merging vehicles (MVs) on urban expressways and their results are compared. The results show that all models give consistent signs to the estimated parameters. It is evident that the LCS model is capable of representing gap acceptance and allows exploration of the latent choice made by MVs. Comparison of the models shows that LCS is superior to the traditional MNL and NL models in terms of goodness of fit and provides a more realistic simulation of MV behavior. The effects of geometry and traffic conditions are fully considered in this study, and they are found to significantly influence the choices made by MVs. A longer acceleration lane may provide a relatively larger gap for MVs and, therefore, motivate them to accept the gap. With respect to traffic conditions, an MV tends to reject a gap under low (<20  vehicles/km/lane) or high density (>40  vehicles/km/lane) conditions. However, gap acceptance is more likely when the density is from 20 to 40  vehicles/km/lane. With regard to safety, the concept of time to collision (TTC) is adopted to capture the reactions of MVs to mainline vehicles (MLVs). Both leading and following TTCs (between the MV and the leading/following MLV, respectively) are implemented in the models. Analyses indicate that the TTC thresholds for an MV to reject or accept a gap are 5 and 6 s for the leading and the following TTC, respectively.

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Acknowledgments

The authors are very grateful to Professor Hideki Nakamura of Nagoya University for kindly providing the image processing system and giving advice on this topic. The authors would also like to thank Nagoya Expressway Public Corporation for generously supporting the collection of video data. Finally, the authors very much appreciate the anonymous reviewers for offering valuable comments that have led to significant improvements in our paper.

References

Ahmed, K. I., Ben-Akiva, M. E., Koutsopoulos, H. N. and Mishalani, R. G. (1996). “Models of freeway lane changing and gap acceptance behavior.” Proc., 13th Int. Symp. on Transportation and Traffic Theory, Springer Science + Business Media, Delft, Netherlands, 501–515.
AIMSUN [Computer software]. Transporting Simulation Systems, Barcelona, Spain.
Akaike, H. (1974). “A new look at the statistical model identification.” IEEE Trans. Autom. Control, 19(6), 716–723.
Alhajyaseen, W. K. M., Asano, M., and Nakamura, H. (2013). “Left-turn gap acceptance models considering pedestrian movement characteristics.” Accid. Anal. Prev., 50, 175–185.
Allen, B. L., Shin, B. T., and Cooper, D. J. (1978). “Analysis of traffic conflicts and collision.” Transp. Res. Rec., 667, 67–74.
Balas, V. E., and Balas, M. M. (2006). “Driver assisting by inverse time to collision.” World Automation Congress (WAC), IEEE, New York, 24–26.
Ben-Akiva, M., and Bierlaire, M. (1999). “Discrete choice methods and their applications to short term travel decisions.” Handbook of transportation science: International series in operations research and management science, Springer, New York, 5–33.
Ben-Akiva, M., and Boccara, B. (1995). “Discrete choice models with latent choice sets.” Int. J. Res. in Marketing, 12(1), 9–24.
Ben-Akiva, M., and Lerman, S. (1985). Discrete choice analysis: Theory and application to travel demand, MIT Press, Cambridge, MA.
Bhat, C. R. (1997). “Covariance heterogeneity in nested logit models: Econometric structure and application to intercity travel.” Transp. Res. Part B: Methodol., 31(1), 11–21.
Burnham, K. P., and Anderson, D. R. (2003). Model selection and multimodel inference: A practical information-theoretic approach, Springer Science and Business Media, New York.
Cascetta, M., Russo, F., Viola, F. A., and Vitetta, A. (2002). “A model of route perception in urban road networks.” Transp. Res. Part B: Methodol., 36(7), 577–592.
Cavanaugh, J. E. (2012). “The Bayesian information criterion.” Univ. of Iowa, Iowa, IA.
Chu, T. D., Miwa, T., and Morikawa, T. (2015). “Gap acceptance on urban expressway merging sections: An application of Inverse Time to Collision.” Proc., Transportation Research Board 94th Annual Meeting, National Research Council, Transportation Research Board, Washington, DC.
Chu, T. D., Nakamura, H., and Asano, M. (2013). “Modeling gap choice at urban expressway merging sections.” J. Jpn. Soc. Civ. Eng., Ser. D3 (Infrastructure Planning and Management), 69(5), I_881–I_891.
CORSIM [Computer software]. Federal Highway Administration, Washington, DC.
Elefteriadou, L., Roess, R. P., and McShane, W. R. (1995). “The probabilistic nature of breakdown at freeway-merge junctions.” Transp. Res. Rec., 1484, 80–89.
Farber, B. (1991). “Designing a distance warning system from the user point of view.”, Institute fur Arbeitspsychologie and Interdisziplinare Systemforchung, Glonn-Haslach.
Garrow, L. A. (2010). “Discrete choice modelling and air travel demand theory and applications.” Nested Logit Model, Ashgate Publishing Limited, Farnham, England, 71–98.
Genius, M., and Strazzera, E. (2002). “A note about model selection and tests for non-nested contingent valuation models.” Econ. Lett., 74(3), 363–370.
Henningsen, A., and Toomet, O. (2011). “Maxlik: A package for maximum likelihood estimation in R.” Comput. Stat., 26(3), 443–458.
Hidas, P. (2002). “Modeling lane changing and merging in microscopic traffic simulation.” Transp. Res. Part C Emerg. Technol., 10(5–6), 351–371.
Hidas, P. (2005). “Modeling vehicle interactions in microscopic simulation of merging and weaving.” Transp. Res. Part C Emerg. Technol., 13(1), 37–62.
Hwang, S. Y., and Park, C. H. (2005). “Modeling of the gap acceptance behavior at a merging section of urban freeway.” Proc., East. Asia Soc. Transp. Stud., 5, 1641–1656.
Iryo-Asano, M., Alhajyaseen, W. K. M., and Nakamura, H. (2015). “Analysis and modeling of pedestrian crossing behavior during the pedestrian flashing green interval.” IEEE Trans. Interll. Transp. Syst., 16(2), 958–969.
Jiang, S., and Sun, J. (2014). “Observations and analysis of the lane changing chain reaction behavior at two expressway merge bottlenecks in Shanghai.” Proc., Transportation Research Board 93 rd Annual Meeting, National Research Council, Washington, DC.
Kerner, B. S., and Rehborn, H. (1996). “Experimental properties of complexity in traffic flow.” Phys. Rev. E., 53(5), R4275–R4278.
Kerner, B. S., and Rehborn, H. (1997). “Experimental properties of phase transitions in traffic flow.” Phys. Rev. Lett., 79(20), 4030–4033.
Kiefer, R. J., LeBlanc, D. J., and Flannagan, C. A. (2005). “Developing an inverse time-to-collision crash alert timing approach based on drivers’ last-second braking and steering judgments.” Accid. Anal. Prev., 37(2), 295–303.
Kita, H. (1993). “Effects of merging lane length on the merging behavior at expressway on-ramps.” Proc., 12th Int. Symp. on the Theory of Traffic Flow and Transportation, Berkeley, CA, 37–51.
Kondyli, A., and Elefteriadou, L. (2011). “Modeling driver behavior at freeway-ramp merges.” Transp. Res. Rec., 2249, 29–37.
Konishi, S., and Kitagawa, G. (2008). Information criteria and statistical modeling, Springer Science & Business Media, New York.
Koppelman, F. S., and Bhat, C. (2006). “A self-instructing course in mode choice modeling: Multinomial and nested logit models.” U.S. Dept. of Transportation, Federal Transit Administration, Austin, TX.
Koppelman, F. S., and Wen, C. H. (1998). “Alternative nested logit models: Structure, properties and estimation.” Transp. Res. Part B: Methodol., 32(5), 289–298.
Lundy, R. A. (1966). The effect of ramp type and geometry on accidents, 2nd Ed., Traffic Department, Division of Highways, Dept. of Public Works, Sacramento, CA.
Mai, T., Fosgerau, M., and Frejinger, E. (2015). “A nested recursive logit model for route choice analysis.” Transp. Res. Part B: Methodol., 75, 100–112.
Manski, C. F. (1977). “The structure of random utility models.” Theory and Decis., 8(3), 229–254.
Marczak, F., Daamen, W., and Buisson, C. (2013). “Merging behaviour: Empirical comparison between two sites and new theory development.” Transp. Res. Part C Emerg. Technol., 36, 530–546.
McCartt, A. T., Northrup, V. S., and Retting, R. A. (2004). “Types and characteristics of ramp related motor vehicle crashes on urban interstate roadways in northern Virginia.” J. Saf. Res., 35(1), 107–114.
Paleti, R. (2015). “Implicit choice set generation in discrete choice models: Application to household auto ownership decisions.” Transp. Res. Part B: Methodol., 80, 132–149.
PARAMICS [Computer software]. Quadstone Limited, Edinburgh, Scotland.
Park, B. B., and Won, J. (2006). “Microscopic simulation model calibration and validation handbook.”, Virginia Transportation Research Council, Charlottesville, VA.
R version 3.2.3 [Computer software]. R Foundation for Statistical Computing, Vienna, Austria.
Schwarz, G. (1978). “Estimating the dimension of a model.” Ann. Stat., 6(2), 461–464.
Shmueli, G. (2010). “To explain or to predict?” Stat. Sci., 25(3), 289–310.
Spanos, A. (2010). “Akaike-type criteria and the reliability of inference: Model selection versus statistical model specification.” J. Econometrics, 158(2), 204–220.
Strazzera, E., Contu, D., and Ferrini, S. (2013). “Check it out! A Monte Carlo analysis of the performance of selection criteria and tests for choice experiments models.” Int. Choice Modelling Conf. 2013, Sydney.
Suzuki, K., and Nakamura, H. (2006). “Trafficanalyzer—The integrated video image processing system for traffic flow analysis.” Proc., 13th World Congress on Intelligent Transportation Systems (CD-ROM), London.
Swait, J. (2001). “Choice set generation within the generalized extreme value family of discrete choice models.” Transp. Res. Part B, 35(7), 643–666.
Toledo, T., Koutsopoulos, H. N., and Ben-Akiva, M. (2007). “Integrated driving behavior modeling.” Transp. Res. Part C, 15(2), 96–112.
TRB (Transportation Research Board). (2010). “Freeway merge and diverge segments.” Highway Capacity Manual, Chapter 13, Washington, DC.
Van der Horst, R. (1991). “Time-to-collision as a cue for decision making in braking.” Vision in Vehicles III, A. G. Gale, et al., ed., Elsevier Science, Amsterdam, Netherlands, 9–26.
Van Winsum, W., and Brouwer, W. H. (1997). “Time headway in car-following and operational performance during unexpected braking.” Percept. Mot. Skills, 84(3c), 1247–1257.
VISSIM [Computer software]. Planung Transport Verkehr, Karlsruhe, Germany.
Yi, H., and Mulinazzi, T. E. (2007). “Urban freeway on-ramp invasive influences on mainline operations.” Transp. Res. Rec., 2023, 112–119.

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Go to Journal of Transportation Engineering, Part A: Systems
Journal of Transportation Engineering, Part A: Systems
Volume 143Issue 7July 2017

History

Received: Mar 3, 2016
Accepted: Dec 7, 2016
Published online: Mar 6, 2017
Published in print: Jul 1, 2017
Discussion open until: Aug 6, 2017

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Lecturer, Section of Road and Highway Engineering, Dept. of Civil Engineering, Univ. of Transport and Communications, Lang Thuong, Dong Da, Hanoi 117200, Vietnam (corresponding author). ORCID: https://orcid.org/0000-0002-8570-5653. E-mail: [email protected]
Associate Professor, Institute of Materials and Systems for Sustainability, Nagoya Univ., Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan. E-mail: [email protected]
Takayuki Morikawa [email protected]
Professor, Institute of Innovation for Future Society, Nagoya Univ., Furo-cho, Chikusa-ku, Nagoya 464-8603, Japan. E-mail: [email protected]

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