Iterative Approach for Traffic Assignment with Capacity Limits using Taylor Series Approximation

• Published in: New trends in mathematical sciences 2023-12
• Main Author: Dalman, Hasan
• Format: Article
• Language: English
• ISSN: 2147-5520; 2147-5520
• DOI: 10.20852/ntmsci.2023.515

This study presents a method for reaching user equilibrium in network traffic assignment problems with capacity constraints. The presented approach minimizes each user’s own travel time using a gradient-based algorithm based on the Taylor series. The algorithm is shown to converge efficiently to user equilibrium after a limited number of iterations. A numerical example is provided to demonstrate the effectiveness of the presented approach, and comparisons are made with other algorithms available in the literature. The obtained results show that the presented method is capable of reaching user equilibrium for capacity network traffic assignment problems. This study presents a method for reaching user equilibrium in network traffic assignment problems with capacity constraints. The presented approach minimizes each user’s own travel time using a gradient-based algorithm based on the Taylor series. The algorithm is shown to converge efficiently to user equilibrium after a limited number of iterations. A numerical example is provided to demonstrate the effectiveness of the presented approach, and comparisons are made with other algorithms available in the literature. The obtained results show that the presented method is capable of reaching user equilibrium for capacity network traffic assignment problems.