Modeling the residual queue and queue-dependent capacity in a static traffic assignment problem

作者：Hao Fu, William H. K. Lam, Wei Ma, Yuxin Shi, Rui Jiang, Huijun Sun, Ziyou Gao · 发表于：Transportation Research Part B Methodological · 年份：2025 · DOI：10.1016/j.trb.2025.103158 · 被引用次数：10 · 研究领域：Advanced Queuing Theory Analysis、Transportation Planning and Optimization、Network Traffic and Congestion Control

• Propose a new static traffic assignment model considering residual queue for a congested network;. • Ensure that the assigned link flows are less than or equal to the link physical capacity and coincide with the observed flows;. • Propose a generalized link cost function with a queue-dependent capacity;. • Develop a gradient projection – alternating minimization algorithm to solve the problem. The residual queue during a given study period (e.g., peak hour) is an important feature that should be considered when solving a traffic assignment problem under equilibrium for strategic traffic planning. Although studies have focused extensively on static or quasi-dynamic traffic assignment models considering the residual queue, they have failed to capture the situation wherein the equilibrium link flow passing through the link is less than the link physical capacity under congested conditions. To address this critical issue, we introduce a novel static traffic assignment model that explicitly incorporates the residual queue and queue-dependent link capacity. The proposed model ensures that equilibrium link flows remain within the physical capacity bounds, yielding estimations more aligned with data observed by traffic detectors, especially in oversaturated scenarios. A generalized link cost function considering queue-dependent capacity, with an additional queuing delay term is proposed. The queuing delay term represents the added travel cost under congestion, offering a framework ...