arXiv:2507.02961math.OCcs.AI2025-07被引 8

用张量统一交通流、路径概率和路段时间,实现多层交通网络实时优化。

Flow-Through Tensors: A Unified Computational Graph Architecture for Multi-Layer Transportation Network Optimization

  • 将流量、路径概率和行程时间建模为相互关联的张量,构建统一计算图。
  • 支持时空与用户群体的多维分析,精确量化系统效率提升。
  • 结合张量分解保持大规模应用的计算可行性,适合多模式协同调度。

现代交通网络建模日益融合传感预测、强化学习、经典流优化和需求建模等不同方法,这些方法传统上独立发展。本文提出流动张量(Flow Through Tensors, FTT)——一种统一的计算图架构,将起讫点流量、路径概率和链路行程时间作为相互连接的张量进行建模。该框架有三项关键贡献:第一,建立一致的数学结构,使梯度优化可跨以往分离的建模要素进行;第二,支持对交通模式在时间、空间及用户群体维度上的多维分析,并精确量化系统效率;第三,采用张量分解技术,在大规模应用中保持计算可处理性。这些创新共同实现了实时控制策略、多运输模式与运营方之间的高效协调,以及物理网络约束的严格满足。FTT 框架弥合了理论交通模型与实际部署需求之间的差距,为下一代集成交通系统提供基础。

原文摘要 · Abstract (English)

Modern transportation network modeling increasingly involves the integration of diverse methodologies including sensor-based forecasting, reinforcement learning, classical flow optimization, and demand modeling that have traditionally been developed in isolation. This paper introduces Flow Through Tensors (FTT), a unified computational graph architecture that connects origin destination flows, path probabilities, and link travel times as interconnected tensors. Our framework makes three key contributions: first, it establishes a consistent mathematical structure that enables gradient-based optimization across previously separate modeling elements; second, it supports multidimensional analysis of traffic patterns over time, space, and user groups with precise quantification of system efficiency; third, it implements tensor decomposition techniques that maintain computational tractability for large scale applications. These innovations collectively enable real time control strategies, efficient coordination between multiple transportation modes and operators, and rigorous enforcement of physical network constraints. The FTT framework bridges the gap between theoretical transportation models and practical deployment needs, providing a foundation for next generation integrated mobility systems.

交通优化张量计算多模态调度

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