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Related Experiment Video

Updated: Jun 18, 2026

Evaluation of an Exclusive Spur Dike U-Turn Design with Radar-Collected Data and Simulation

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Published on: February 1, 2020

A user equilibrium traffic assignment model based on the most reliable paths.

Tianze Xu^1,2, Yanyan Liu³, Yuhan Mao⁴

¹School of Intelligent Construction and Transportation Engineering, Henan University of Urban Construction, Pingdingshan, China. selecxtz@126.com.

Scientific Reports

|June 16, 2026

Summary

This summary is machine-generated.

Drivers often choose the most reliable paths (MRP). This study introduces a new connectivity reliability-based user equilibrium (RUE) model for scenarios where MRPs are preferred over minimum cost paths.

Keywords:

Connectivity reliability Heuristic algorithm Most reliable paths Transportation network User equilibrium

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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Published on: September 8, 2023

Area of Science:

Network science
Operations research
Transportation engineering

Background:

Traditional user equilibrium models focus on minimum cost paths.
Minimum cost paths may not align with drivers' preference for most reliable paths (MRP).
Existing models do not address reliability-based user equilibrium (RUE) using MRPs.

Purpose of the Study:

To introduce a novel reliability-based user equilibrium (RUE) variational inequality (VI) model.
To incorporate the concept of most reliable paths (MRP) into user equilibrium studies.
To develop a heuristic algorithm for solving the proposed RUE-VI model.

Main Methods:

Developed a variational inequality (VI) model for RUE based on MRPs.
Defined path reliability as the product of link reliabilities.
Designed a heuristic algorithm incorporating a multiplication-based algorithm to find MRPs.

Main Results:

Presented a new RUE variational inequality (VI) model for networks where drivers select MRPs.
Developed and tested a heuristic algorithm to solve the VI model.
Validated the model and algorithm on two example networks.

Conclusions:

The proposed RUE model and heuristic algorithm effectively address routing problems based on MRPs.
This approach is applicable to both communication network routing and transportation network emergency evacuation.
The study fills a gap in existing literature by integrating MRPs into user equilibrium frameworks.