Multiclass bi-criteria traffic assignment without class-specific variables: An alternative formulation and a subgradient projection algorithm

Z Li, G Li, Z Xu, A Chen - Transportation Research Part E: Logistics and …, 2023 - Elsevier
In this paper, we focus on the multiclass bi-criteria (time and toll) traffic assignment (MBTA)
problem. The conventional MBTA model keeps multiple copies of class-specific variables to …

Time and toll trade-off with heterogeneous users: A continuous time surplus maximization bi-objective user equilibrium model

Z Xu, A Chen, X Liu - Transportation Research Part B: Methodological, 2023 - Elsevier
This paper presents a continuous time surplus maximization bi-objective user equilibrium (C-
TSmaxBUE) model, in which the users' variability toward the time and toll trade-off in a tolled …

A faster path-based algorithm with Barzilai-Borwein step size for solving stochastic traffic equilibrium models

M Du, H Tan, A Chen - European Journal of Operational Research, 2021 - Elsevier
Step size determination (also known as line search) is an important component in effective
algorithmic development for solving the traffic assignment problem. In this paper, we explore …

Accelerating the gradient projection algorithm for solving the non-additive traffic equilibrium problem with the Barzilai-Borwein step size

H Tan, M Du, A Chen - Computers & Operations Research, 2022 - Elsevier
The non-additive traffic equilibrium problem (NaTEP) overcomes the inadequacies of the
additivity assumption in traditional traffic equilibrium models by relaxing the cost incurred on …

A bio-inspired approach to traffic network equilibrium assignment problem

X Zhang, S Mahadevan - IEEE Transactions on cybernetics, 2017 - ieeexplore.ieee.org
Finding an equilibrium state of the traffic assignment plays a significant role in the design of
transportation networks. We adapt the path finding mathematical model of slime mold …

Modeling mode and route similarities in network equilibrium problem with go-green modes

S Kitthamkesorn, A Chen, X Xu, S Ryu - Networks and Spatial Economics, 2016 - Springer
Environmental sustainability is a common requirement on the development of various real-
world systems, especially on road transportation systems. Motorized vehicles generate a …

The optimal path finding algorithm based on reinforcement learning

G Khekare, P Verma, U Dhanre, S Raut… - International Journal of …, 2020 - igi-global.com
Urbanization has been extensively increased in the last decade. In proportion, the number of
vehicles throughout the world is increasing broadly. The detailed survey of available optimal …

Multi-criteria user equilibrium model considering travel time, travel time reliability and distance

C Sun, L Cheng, S Zhu, F Han, Z Chu - Transportation Research Part D …, 2019 - Elsevier
This paper proposes a multi-criteria user equilibrium model considering travel time, travel
time reliability and distance (MUE-TRD). This new model hypothesizes that for each user …

A self-adaptive gradient projection algorithm for the nonadditive traffic equilibrium problem

A Chen, Z Zhou, X Xu - Computers & Operations Research, 2012 - Elsevier
Gradient projection (GP) algorithm has been shown as an efficient algorithm for solving the
traditional traffic equilibrium problem with additive route costs. Recently, GP has been …

Modelling route choice behaviour in a tolled road network with a time surplus maximisation bi-objective user equilibrium model

JYT Wang, M Ehrgott - Procedia-Social and Behavioral Sciences, 2013 - Elsevier
In this paper, we propose a novel approach to model route choice behaviour in a tolled road
network with a bi-objective approach, assuming that all users have two objectives:(1) …