基于栅格化与整数规划的垂直起降场布局方法

李浩天, 张启钱, 张洪海, 刘绎妍, 任明轩, 孟博

交通运输研究 ›› 2025, Vol. 11 ›› Issue (6) : 140-150.

交通运输研究 ›› 2025, Vol. 11 ›› Issue (6) : 140-150. DOI: 10.16503/j.cnki.2095-9931.2025.06.011
技术与方法

基于栅格化与整数规划的垂直起降场布局方法

作者信息 +

Vertiport Layout Method Based on Rasterization and Integer Programming

  • LI Haotian ,  
  • ZHANG Qiqian * ,  
  • ZHANG Honghai ,  
  • LIU Yiyan ,  
  • REN Mingxuan ,  
  • MENG Bo
Author information +
文章历史 +

摘要

针对城市受限用地条件下建设适应高密度运行环境的eVTOL垂直起降场问题,提出一种基于整数规划的垂直起降场场面布局方法。该方法利用栅格化思想将候选场地离散化,将复杂的空间布局设计转化为可精确求解的数学优化问题。所建模型以设施类型选址为决策变量,在满足设施连通性、eVTOL运行安全及乘客舒适度的前提下,以运营期净利润最大化为目标,寻找最优垂直起降场场面布局方案。为验证方法的有效性,以苏州西山岛一处200 m×140 m场地为例,使用Gurobi对模型进行求解。结果显示,模型求解的最优布局方案10年净利润达6.59亿元,较常见的分离式布局垂直起降场方案,其净利润提升18.1%、建设成本降低27.7%;在安全方面,通过合理的场面功能分区,有效保障了FATO安全运行间隔、起降净空条件与紧急疏散效率。该方法能有效平衡运营收益、资源利用率与运行安全,可为城市垂直起降场布局提供理论依据与方法支撑。

Abstract

To address the problem of constructing eVTOL vertiports under land-constrained urban conditions to accommodate high-density operations, this study proposes an apron layout optimization method for eVTOL vertiports based on integer programming. The method adopts the idea of rasterization to discretize the candidate sites, thereby transforming the complex spatial layout design into a mathematically tractable optimization problem. In the proposed model, facility-type siting decisions are treated as decision variables, and the optimal vertiport apron layout is obtained by maximizing net profit over the operation period subject to constraints on facility connectivity, eVTOL operational safety and passenger comfort. To verify the effectiveness of the method, a 200 m×140 m land parcel on Xishan Island in Suzhou is used as a case study, and the model is solved using Gurobi. The results show that the optimal layout obtained from the model yields a 10-year net profit of CNY 659 million, representing an 18.1% increase in net profit and a 27.7% reduction in construction cost compared with a commonly adopted separated vertiport layout. In terms of safety, appropriate functional zoning of the apron helps to ensure FATO safety operation interval, takeoff and landing clearance conditions, and emergency evacuation efficiency. The results indicate that the proposed method can effectively balance operational revenue, resource utilization and operational safety, and can provide a theoretical basis and methodological support for vertiport layout planning in urban environments.

关键词

垂直起降场 / 布局优化 / 整数规划 / 城市空中交通 / 电动垂直起降航空器

Key words

vertiport / layout optimization / integer programming / urban air mobility / eVTOL

引用本文

导出引用
李浩天, 张启钱, 张洪海, . 基于栅格化与整数规划的垂直起降场布局方法[J]. 交通运输研究. 2025, 11(6): 140-150 https://doi.org/10.16503/j.cnki.2095-9931.2025.06.011
LI Haotian, ZHANG Qiqian, ZHANG Honghai, et al. Vertiport Layout Method Based on Rasterization and Integer Programming[J]. Transport Research. 2025, 11(6): 140-150 https://doi.org/10.16503/j.cnki.2095-9931.2025.06.011
中图分类号: U8    V2-9]; V275   

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基金

国家自然科学基金项目(U2133207)

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