Graphical solution for system optimum dynamic traffic assignment with day-based incentive routing strategies

Abstract

This paper analyzes the dynamic traffic assignment problem on a three-alternative network with day-based incentive routing strategies by using graphical solution method. It is assumed that the cumulative count curve of vehicles is known and that the arrival rate is unimodal. The dynamic system optimum (DSO) allocation lines are first drawn based on calculus of variations. Three possible optimal allocation lines are analyzed. A day-based incentive routing strategy is designed and conditions that when and how to implement the incentive scheme to realize DSO are then derived. Extension to general parallel networks is also given. Examples are presented to demonstrate the effectiveness of the scheme.

Dynamic road pricing for optimal traffic flow management by using non‐linear model predictive control

“…in a typical peak hour time workplace/school travel is dominated. As u i k depends on the utility function [defined by (2)], the control input u i μ i k is calculated based on the maximal achievable utility function…”

“…In general, user optimum has a higher total cost than system optimum, sometimes much higher [1]. Previous studies have shown that system optimum [2][3][4] is more difficult to achieve than user optimum [5,6]. In case of system optimum, the total utilities are maximised; meanwhile, in user optimum, the individual user utilities are maximised.…”

Dynamic Traffic Assignment Model Based on GPS Data and Point of Interest (POI) in Shanghai

“…Meng et al [14] developed a multiclass, multimodal dynamic traffic equilibrium model that derives optimal travel routes and optimal departure times, which is beneficial for traffic control and dynamic route guidance. Zhao et al [15] analysed the dynamic traffic assignment problem under three types of networks based on day-based incentive routing strategies using a graphical solution and extended it for general parallel networks to demonstrate the effectiveness of the scheme. In summary, the initial research on dynamic traffic assignment mainly lies in the theory, and the model building methods and iterative updates of algorithms are the focus of scholars' attention.…”