Q-Net

Queue length estimation via Kalman-based neural networks

Journal Article (2026)
Author(s)

Ting Gao (TU Delft - Civil Engineering & Geosciences)

Elvin Isufi (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Winnie Daamen (TU Delft - Civil Engineering & Geosciences)

Erik Sander Smits (Arane Adviseurs in verkeer en vervoer)

Serge Hoogendoorn (TU Delft - Civil Engineering & Geosciences)

Research Group
Traffic Systems Engineering
DOI related publication
https://doi.org/10.1016/j.trc.2026.105809 Final published version
More Info
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Publication Year
2026
Language
English
Research Group
Traffic Systems Engineering
Journal title
Transportation Research Part C: Emerging Technologies
Volume number
190
Article number
105809
Downloads counter
44
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Abstract

Estimating queue lengths at signalized intersections is a long-standing challenge in traffic management. Partial observability of vehicle flows complicates this task despite the availability of two privacy-preserving data sources: (i) aggregated vehicle counts from loop detectors near stop lines, and (ii) aggregated floating car data (aFCD) that provide segment-wise average speed measurements. However, how to integrate these sources with differing spatial and temporal resolutions for queue length estimation is rather unclear. Addressing this question, we present Q-Net: a queue estimation framework built upon a state-space formulation. This design addresses key challenges in queue modeling, such as violations of traffic conservation assumptions. Q-Net follows the Kalman predict-update structure and maintains physical interpretability in both the state evolution and measurement models. Q-Net uses an AI-augmented Kalman filter to learn time-varying gain dynamics from data. The framework supports real-time implementation and improves spatial transferability by grouping aFCD measurements into fixed-size local groups, making the number of learnable parameters independent of section length. Evaluations on urban main roads in Rotterdam, the Netherlands, show that Q-Net outperforms baseline methods, tracks queue formation and dissipation accurately, and mitigates aFCD-induced delays. By combining data efficiency, interpretability, real-time applicability, and spatial transferability, Q-Net makes accurate queue length estimation possible without costly sensing infrastructure like cameras or radar.