Reliability of Intergreen Interval Based on Combined Dilemma and Option Zones

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.