Abstract

The performance of intersections has been considered a key factor in measuring the efficiency of urban road systems. In this paper, a reliability model for a two‐phase signalized intersection is proposed on the basis of presenting a concept of traffic function reliability (TFR). First, classic cumulative curves are created to derive delay formulas. Then, a model for traffic function reliability is proposed based on the quantitative relationship between the random traffic flows, signal timing, and queue lengths. Finally, the delay threshold of the intersection is determined by referring to the level of service. A numerical simulation has been created to clarify the proposed mechanism of TFR. The results show that the saturation and the green time ratio have a dramatical influence on TFR. Under different saturation levels, the sensitivity of TFR to changes in green time ratio gradually weakened. When the green signal ratio increases above a certain value, TFR remains nearly constant. A microscopic simulation verified the applicability of the proposed model. The results show that the accuracy of the model is close to 90% in the case of low saturation. This method provides road authorities useful insights to understand travel time variability.

Highlights

  • With the rapid development in communication technologies, passengers, drivers, and traffic managers rapidly obtain real-time traffic information that is used to modify their behavior

  • Conclusions is study proposes a TFR model to evaluate the reliability of signal control intersections. e model introduces traffic function reliability on the basis of probability theory

  • A procedure was proposed for calculating TFR considering an average delay

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Summary

Introduction

With the rapid development in communication technologies, passengers, drivers, and traffic managers rapidly obtain real-time traffic information that is used to modify their behavior. Erefore, the concept of intersection reliability has been proposed [17] In this field, some researchers focus on delay distribution models. Ey made an analogy with the Markov chain process to clarify the mechanism of stochastic delays and overflow queues Based on their analytical model, they estimated the travel time through a convolution of individual link travel time distributions. E first is to study the influence of some traffic performance indicators on travel time reliability which includes delays, queue length, and other factors. E other topic uses the intersection signal timing and proposes new indicators such as phase clearance reliability and travel time versus capacity. E last two sections are a numerical case study and a model application, which clarify the proposed mechanism for TFR.

Problem Description
Methodology
Reliability Model
Numerical Examples
Findings
Model Validation

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