Reliability of Intergreen Interval Based on Combined Dilemma and Option Zones
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 8, Issue 2
Abstract
Currently, dilemma and option zones’ failures are independently used to analyze the intergreen interval at signalized intersections. Therefore, the present research work was initiated to integrate these failures. First, the dilemma and option zones were modeled using the first-order second-moment method. Then, game theory was used to model the association between the dilemma and option failures. The failure probabilities of the dilemma and option zones were evaluated for various traffic conditions using Monte-Carlo simulation considering the Nash equilibrium. Next, the overall system probability was analyzed, based on the combined dilemma and option failures, given different intergreen intervals, speeds, and coefficients of variation. Finally, the study proposed a methodology for identifying the intergreen interval to limit system failure. This would aid practitioners in designing traffic lights at intersections and keeping proper intergreen intervals to limit the dilemma and option failures.
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Data Availability Statement
Some or all data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request:
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Generated data from simulation runs; and
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Python codes.
Acknowledgments
The authors are grateful to two anonymous reviewers for their thorough and most helpful comments. This research is financially supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada. In addition, the lead author is grateful for valuable discussions with Dr. Xiaobo Qu and Dr. Tarek Sayed.
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Received: Oct 9, 2021
Accepted: Jan 28, 2022
Published online: Mar 21, 2022
Published in print: Jun 1, 2022
Discussion open until: Aug 21, 2022
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