A Reliability-Based Stochastic Traffic Assignment Model for Signalized Traffic Network with Consideration of Link Travel Time Correlations

Abstract

Traffic assignment model (TAM) is an important research issue of urban traffic design and planning. Most of the existing studies are conducted under deterministic conditions. In reality, the link travel time and waiting time at signalized intersections are stochastic due to many uncertain factors in transportation networks. Under this circumstance, this paper proposes a new travel time reliability-based user equilibrium (TRUE) traffic assignment model with consideration of link travel time correlations and waiting time at signalized intersections in stochastic traffic networks. Under the assumption that link travel times and waiting times at signalized intersections follow normal distributions, the proposed model is transformed into a variational inequality (VI) model. It is rigorously proven that there is at least one solution for the VI problem, and the method of successive average (MSA) is employed to solve the proposed model. The numerical experiments are used to illustrate the applications and effectiveness of the proposed model.

A Reliability-Based Network Equilibrium Model with Electric Vehicles and Gasoline Vehicles

“…These four assumptions are necessary to derive the flow distribution and reliable path travel time in the following sections 2.1.1 and 2.1.4. Similar assumptions can be also found in the literature related to the reliability-based network equilibrium models [13,[38][39][40].…”

“…Similar to previous studies, the uncertainty of travel time is assumed to mainly come from the stochastic traffic demand in this paper [13,38,39]. Some basic assumptions should be listed before modelling: 1) The traffic demand of the origin-destination (O-D) pair (i.e.…”

“…Reviewing the literature, variational inequality (VI) is one of the main methods to build the reliability-based network equilibrium model [33,38]. We assume that there are m classes of vehicles on the road network, where m = 0 represents GVs, and m = 1 represents EVs.…”

Development of an SNMP v3 agent for user modelling in LAN environments for thin films by using Dynamic systems modelling

“…There are multiple proposals for this task of characterizing user behaviour. Some of the most popular techniques, both for modelling users and their tra c, support their operation in the use of neural networks, Markov models, statistical studies or fuzzy logic, among others [6] [9] [10]. In the proposed solution, the element used to learn the user's behaviour and decide on the possible anomalies observed is a SOM network.…”

A Reliability-Based Traffic Equilibrium Model with Boundedly Rational Travelers Considering Acceptable Arrival Thresholds

“…By introducing the perception errors, the stochastic mean-excess traffic equilibrium (SMETE) model was formulated and derived by Chen et al (2011) [12]. Shen et al developed a reliability-based user equilibrium model to model network traffic assignment at signalized intersections, in which link travel time and wait time at intersections are assumed to follow normal distributions [13]. Fayyaz et al (2021) introduced an incentive compatible driving simulator experiment to make participants experience the travel time of the used route and pay the cost with respect to a tolled road.…”