城市空中交通垂直规划:一种自适应离散化方法

Kai Wang, A. Jacquillat, Vikrant Vaze
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引用次数: 10

摘要

问题定义:电动垂直起降(eVTOL)车辆实现城市空中机动(UAM)。本文优化了UAM系统中垂直机场的数量、位置和容量,同时捕获了战略垂直机场部署、战术操作和乘客需求之间的相互依赖关系。学术/实际意义:该模型包括一个“可处理部分”(基于混合整数二阶二次优化)和一个非凸需求函数。方法:我们开发了一种精确的算法,用分段常数段近似非凸函数,在保守模型(产生可行解)和松弛模型(产生解保证)之间迭代。由于模型松弛,我们提出了一种收敛到全局最优的自适应离散化方案。结果:我们的算法收敛到1%的最优性差距,在解决方案质量、运行时间和解决方案保证方面主导静态离散化基准。管理启示:我们发现,UAM最具吸引力的结构是使用一些高容量垂直机场,整合运营,主要为长途旅行服务。此外,UAM的盈利能力对网络规划优化和客户期望高度敏感,甚至可能比车辆规格更敏感。因此,UAM操作的成功不仅需要成熟的eVTOL技术,还需要定制的基于分析的能力来优化战略规划和市场努力,以推动客户需求。
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Vertiport Planning for Urban Aerial Mobility: An Adaptive Discretization Approach
Problem definition: Electric vertical-takeoff-and-landing (eVTOL) vehicles enable urban aerial mobility (UAM). This paper optimizes the number, locations, and capacities of vertiports in UAM systems while capturing interdependencies between strategic vertiport deployment, tactical operations, and passenger demand. Academic/practical relevance: The model includes a “tractable part” (based on mixed-integer second-order conic optimization) and also a nonconvex demand function. Methodology: We develop an exact algorithm that approximates nonconvex functions with piecewise constant segments, iterating between a conservative model (which yields a feasible solution) and a relaxed model (which yields a solution guarantee). We propose an adaptive discretization scheme that converges to a global optimum—because of the relaxed model. Results: Our algorithm converges to a 1% optimality gap, dominating static discretization benchmarks in terms of solution quality, runtimes, and solution guarantee. Managerial implications: We find that the most attractive structure for UAM is one that uses a few high-capacity vertiports, consolidating operations primarily to serve long-distance trips. Moreover, UAM profitability is highly sensitive to network planning optimization and to customer expectations, perhaps even more so than to vehicle specifications. Therefore, the success of UAM operations requires not only mature eVTOL technologies but also tailored analytics-based capabilities to optimize strategic planning and market-based efforts to drive customer demand.
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