Estimating Vehicles in the Dilemma Zone and Application to Fixed-Time Coordinated Signal Optimization
Abstract
Most traffic accidents are related to driving behaviors. Dangerous driving behaviors may occur if a vehicle is trapped in the dilemma zone. Traditional methods for calculating the number of vehicles in the dilemma zone (NVDZ) are usually based on field data collection and postanalysis and require a great deal of time and human resources. This paper proposes an analytical model for estimating NVDZ on the basis of signal timing, arterial geometry, traffic demand, and driving characteristics. Through application of Robertson's platoon dispersion model, the proposed model calculates the flow rate in the dilemma zone area at yellow onset as well as queue lengths under a discrete time horizon. A VISSIM-based microscopic simulation is then calibrated to validate the NVDZ calculation. The mathematical framework for signal optimization is implemented. Most of the current signal optimization methodologies do not consider safety measures such as NVDZ to be an objective. In this paper, delay and NVDZ are formulated as a multi-objective optimization problem addressing efficiency and safety together. Examples show that delay and NVDZ are competing objectives and cannot be optimized at the same time. Finally, an economic model is applied to quantify both delay and NVDZ in monetary values. The optimal solution considering both factors reduces NVDZ by more than 20% with a less than 2% increase in delay compared with minimizing only delay. The total cost is reduced.
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References
1. Antonucci N. D., Hardy K. K., Slack K. L., Pfefer R., and Neuman T. R. NCHRP Report 500: Guidance for Implementation of the AASHTO Strategic Highway Safety Plan, Volume 12: A Guide for Reducing Collisions at Signalized Intersections. Transportation Research Board of the National Academies, Washington, D.C., 2004.
2. Choi E.-H. Crash Factors in Intersection-Related Crashes: An On-Scene Perspective. Publication DOT HS 811 366. Mathematical Analysis Division, National Center for Statistics and Analysis, NHTSA, 2010.
3. ITE. Transportation and Traffic Engineering Handbook. Prentice Hall College Division, Upper Saddle River, N. J., 1982.
4. Liu Y., Chang G.-L., Tao R., Hicks T., and Tabacek E. Empirical Observations of Dynamic Dilemma Zones at Signalized Intersections. In Transportation Research Record: Journal of the Transportation Research Board, No. 2035, Transportation Research Board of the National Academies, Washington, D.C., 2007, pp. 122–133.
5. Papaioannou P. Driver Behaviour, Dilemma Zone and Safety Effects at Urban Signalised Intersections in Greece. Accident Analysis and Prevention, Vol. 39, No. 1, 2007, pp. 147–158.
6. El-Shawarby I., Rakha H., Inman V., and Davis G. Effect of Yellow-Phase Trigger on Driver Behavior at High-Speed Signalized Intersections. Presented at IEEE Intelligent Transportation Systems Conference, Toronto, Ontario, Canada, 2006.
7. Robertson D. I. “TRANSYT” Method for Area Traffic Control. Traffic Engineering and Control, Vol. 11, No. 6, 1969, pp. 276–281.
8. Gazis D., Herman R., and Maradudin A. The Problem of the Amber Signal Light in Traffic Flow. Operations Research, Vol. 8, No. 1, 1960, pp. 112–132.
9. Zegeer C. V. Effectiveness of Green-Extension Systems at High-Speed Intersections. Kentucky Department of Transportation, Lexington, May 1977.
10. Sheffi Y., and Mahmassani H. A Model of Driver Behavior at High Speed Signalized Intersections. Transportation Science, Vol. 15, No. 1, 1981, pp. 50–61.
11. Parsonson P. S., Roseveare R. W., and Thomas J. M. Small-Area Detection at Intersection Approaches. Journal of Transportation Engineering, Vol. 44, No. 5, 1974, pp. 8–17.
12. Chang M.-S., Messer C. J., and Santiago A. J. Timing Traffic Signal Change Intervals Based on Driver Behavior. In Transportation Research Record 1027, TRB, National Research Council, Washington, D.C., 1985, pp. 20–30.
13. Bonneson J. A., and McCoy P. T. Traffic Detector Designs for Isolated Intersections. ITE Journal, Vol. 66, No. 8, 1996, pp. 42–47.
14. Saito T., Ooyama N., and Sigeta K. Dilemma and Option Zones, the Problem and Countermeasures–Characteristics of Zones, and a New Strategy of Signal Control for Minimizing Zones. Presented at 3rd International Conference on Road Traffic Control, London, United Kingdom, 1990.
15. Köll H., Bader M., and Axhausen K. W. Driver Behaviour During Flashing Green Before Amber: A Comparative Study. Accident Analysis and Prevention, Vol. 36, No. 2, 2004, pp. 273–280.
16. Tarko A. P., Li W., and Laracuente L. Probabilistic Approach to Controlling Dilemma Occurrence at Signalized Intersections. In Transportation Research Record: Journal of the Transportation Research Board, No. 1973, Transportation Research Board of the National Academies, Washington, D.C., 2006, pp. 55–63.
17. McCoy P. T., and Pesti G. Improving Dilemma-Zone Protection of Advance Detection with Advance-Warning Flashers. In Transportation Research Record: Journal of the Transportation Research Board, No. 1844, Transportation Research Board of the National Academies, Washington, D.C., 2003, pp. 11–17.
18. Ma W., Liu Y., and Yang X. Investigating the Impacts of Green Signal Countdown Devices: Empirical Approach and Case Study in China. Journal of Transportation Engineering, Vol. 136, No. 11, 2010, pp. 1049–1055.
19. Messer C. J., Whitson R. N., Dudek C. L., and Romano E. J. A Variable-Sequence Multiphase Progression Optimization Program. In Highway Research Record 445, HRB, National Research Council, Washington, D.C., 1973, pp. 24–33.
20. Little J. D. C. The Synchronization of Traffic Signals by Mixed-Integer Linear Programming. Operations Research, Vol. 14, No. 4, 1966, pp. 568–594.
21. Little J. D. C., Kelson M. D., and Gartner N. H. MAXBAND: A Program for Setting Signals on Arteries and Triangular Networks. In Transportation Research Record 795, TRB, National Research Council, Washington, D.C., 1981, pp. 40–46.
22. Gartner N. H., Assman S. F., Lasaga F., and Hou D. L. A Multi-Band Approach to Arterial Traffic Signal Optimization. Transportation Research Part B, Vol. 25, No. 1, 1991, pp. 55–74.
23. Stamatiadis C., and Gartner N. H. MULTIBAND-96: A Program for Variable-Bandwidth Progression Optimization of Multiarterial Traffic Networks. In Transportation Research Record 1554, TRB, National Research Council, Washington, D.C., 1996, pp. 9–17.
24. Gartner N. H., Little J. D. C., and Gabbay H. MITROP: A Computer Program for Simultaneous Optimisation of Offsets, Splits and Cycle Time. Traffic Engineering and Control, Vol. 17, Nos. 8-9, 1976, pp. 355–359.
25. Wey W.-M., and Jayakrishnan R. Network Traffic Signal Optimization Formulation with Embedded Platoon Dispersion Simulation. In Transportation Research Record: Journal of the Transportation Research Board, No. 1683, TRB, National Research Council, Washington, D.C., 1999, pp. 150–159.
26. Hunt P. B., Robertson D. I., Bretherton R. D., and Winton R. I. SCOOT—A Traffic Responsive Method of Coordinating Signals. Report 1014. Transport and Road Research Laboratory, Crowthorne, Berkshire, United Kingdom, 1981.
27. Lowrie P. R. The Sydney Coordinated Adaptive Traffic System: Principles, Methodology, Algorithms. Presented at International Conference on Road Traffic Signalling, London, 1982.
28. Mirchandani P., and Head L. A Real-Time Traffic Signal Control System: Architecture, Algorithms, and Analysis. Transportation Research Part C, Vol. 9, No. 6, 2001, pp. 415–432.
29. Day C. M., Brennan T. M. Jr., Hainen A. M., Remias S. M., Premachandra H., Sturdevant J. R., Richards G., Wasson J. S., and Bullock D. M. Reliability, Flexibility, and Environmental Impact of Alternative Objective Functions for Arterial Offset Optimization. In Transportation Research Record: Journal of the Transportation Research Board, No. 2259, Transportation Research Board of the National Academies, Washington, D.C., 2011, pp. 8–22.
30. Gettman D., Shelby S. G., Head L., Bullock D. M., and Soyke N. Data-Driven Algorithms for Real-Time Adaptive Tuning of Offsets in Coordinated Traffic Signal Systems. In Transportation Research Record: Journal of the Transportation Research Board, No. 2035, Transportation Research Board of the National Academies, Washington, D.C., 2007, pp. 1–9.
31. Jovanis P. P., and May A. D. Alternative Objectives in Arterial-Traffic Management. In Transportation Research Record 682, TRB, National Research Council, Washington, D.C., 1978, pp. 1–8.
32. Sharma A., Bullock D., and Peeta S. Estimating Dilemma Zone Hazard Function at High Speed Isolated Intersection. Transportation Research Part C, Vol. 19, No. 3, 2011, pp. 400–412.
33. Yu L. Calibration of Platoon Dispersion Parameters on the Basis of Link Travel Time Statistics. In Transportation Research Record: Journal of the Transportation Research Board, No. 1727, TRB, National Research Council, Washington, D.C., 2000, pp. 89–94.
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Article first published online: January 1, 2014
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