Abstract

This paper focuses on the optimization problem of a signal timing design based on the concept of bus priority. This optimization problem is formulated in the form of a bi-level programming model that minimizes average passenger delay at intersections and vehicle delay in lanes simultaneously. A solution framework that implements the differential evolution (DE) algorithm is developed to efficiently solve the model. A case study based on a real-world intersection in Beijing, China, is implemented to test the efficiency and applicability of the proposed modeling and computing methods. The experiment’s result shows that the optimization model can not only significantly improve the priority capacity of the buses at the intersection but also reduce the adverse impact of bus-priority approaches on the private vehicles for the intersections.

Highlights

  • Traffic congestion is already one of the greatest issues in many cities [1,2] of China, where it is no longer feasible to continue to increase capacity in the form of new roads or lanes to accommodate the ever-rising travel demand due to the limited land resources

  • This paper attempts to propose a bi-level optimization model, in which passenger delay is explicitly considered in the process of signal timing optimization, aiming to improve the priority capacity of the buses at the intersection and reduce the loss of other private vehicle traffic benefits caused by the bus priority measures

  • This paper combined the concept of bus priority with the traditional way of a signal timing optimization problem

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Summary

Introduction

Traffic congestion is already one of the greatest issues in many cities [1,2] of China, where it is no longer feasible to continue to increase capacity in the form of new roads or lanes to accommodate the ever-rising travel demand due to the limited land resources. Considering the capacity of bus is much larger than that of private vehicle, the traditional method is rather unfair for the phase that contains more bus traffic and cannot reflect a people-oriented traffic management philosophy [4,5,6]. It cannot reduce the delay of public transport vehicles at intersections and ensure the implementation of a “bus priority” strategy by using these traditional timing schemes. The purpose of this paper is to present a new mathematical framework for the signal timing optimization model of intersections equipped with bus lanes in terms of bus priority

Literature Review
Assumptions and Notations
The Representation of Total Passenger Delay
The Constraints of Signal Timing Optimization
The Constraints of Green Time
The Fundamentals of Bi-Level Programming Theory
Bi-Level Model Formulation of Signal Timing Optimization
Upper-Level Formulation
Lower-Level Formulation
Differential Evolution Algorithm
Application of DE Algorithm on Bi-Level Model
The Numerical Results
Simulation and Result Discussion
Simulated Results
Conclusions

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