arXiv:2603.07821math.OCcs.AI2026-03

用列生成法优化微公交区域划分,提升服务效率与可扩展性。

Column Generation for the Micro-Transit Zoning Problem

  • 提出基于列生成的优化框架,支持全局预算而非固定区域数量。
  • 在多个美国大城市测试中,解的质量更高且计算更快。
  • 适合城市交通规划者和智能出行系统开发者参考。

随着过去十年共享出行等新型城市交通方式的快速发展,按需微公交服务作为固定线路公共交通与单次叫车之间的中间方案,平衡了乘客量最大化与行程时间最小化。微公交的应用具有显著社会影响:通过降低每乘客行驶里程,减少能耗与排放,提升弱势群体的出行公平性。然而,有效运营微公交需提前规划地理围栏区域,这涉及一个复杂的组合优化问题。现有方法先枚举候选区域,再选择固定数量最优区域。本文将微公交区域划分问题(MZP)推广至支持全局预算而非候选区域数量限制,并设计了列生成(CG)求解框架及若干加速计算的定价启发式算法。在多个美国主要城市的大量数值实验表明,该方法在更通用设定下能更高效地生成更高质量的解决方案,且具备更好的可扩展性。

原文摘要 · Abstract (English)

Along with the rapid development of new urban mobility options like ride-sharing over the past decade, on-demand micro-transit services stand out as a middle ground, bridging the gap between fixed-line mass transit and single-request ride-hailing, balancing ridership maximization and travel time minimization. Micro-transit adoption can have significant social impact. It improves urban sustainability, through lower energy consumption and reduced emissions, while enhancing equitable mobility access for disadvantaged communities, thanks to its lower vehicle miles per passenger, flexible schedules, and affordable pricing. However, effective operation of micro-transit services requires planning geo-fenced zones in advance, which involves solving a challenging combinatorial optimization problem. Existing approaches enumerate candidate zones first and selects a fixed number of optimal zones in the second step. In this paper, we generalize the Micro-Transit Zoning Problem (MZP) to allow a global budget rather than imposing a size limit for candidate zones. We also design a Column Generation (CG) framework to solve the problem and several pricing heuristics to accelerate computation. Extensive numerical experiments across major U.S. cities demonstrate that our approach produces higher-quality solutions more efficiently and scales better in the generalized setting.

交通规划列生成优化微公交

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。