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中国管理科学 ›› 2026, Vol. 34 ›› Issue (10): 196-208.doi: 10.16381/j.cnki.issn1003-207x.2025.0054

• • 上一篇    

换电模式下考虑设施中断的无人机应急救援网络规划

项寅1, 滕辰妹2(), 李佩3, 谈丹4   

  1. 1.苏州科技大学商学院,江苏 苏州 215009
    2.苏州城市学院城市治理与公共事务学院,江苏 苏州 215000
    3.上海立信会计金融学院工商管理学院,上海 201209
    4.安徽大学商学院,安徽 合肥 230039
  • 收稿日期:2025-01-10 修回日期:2025-04-21 出版日期:2026-10-25 发布日期:2026-10-09
  • 通讯作者: 滕辰妹 E-mail:tcmtcz@163.com
  • 基金资助:
    国家自然科学基金项目(72474151);国家自然科学基金项目(72104170);江苏高校“青蓝工程”优秀青年骨干教师项目(JSQL2025XY)

Drone Emergency Rescue Network Design with Battery Swap Mode Considering Facility Interruptions

Yin Xiang1, Chenmei Teng2(), Pei Li3, Dan Tan4   

  1. 1.School of Business,University of Science and Technology of Suzhou,Suzhou 215009,China
    2.School of Urban Governance and Public Affairs,Suzhou City University,Suzhou 215000,China
    3.School of Business Administration,Shanghai Lixin University of Accounting and Finance,Shanghai 201209,China
    4.School of Business,Anhui University,Hefei 230039,China
  • Received:2025-01-10 Revised:2025-04-21 Online:2026-10-25 Published:2026-10-09
  • Contact: Chenmei Teng E-mail:tcmtcz@163.com

摘要:

近年来,无人机已在各项救援活动中发挥重要作用。灾后通过部署一系列换电设施,可以为无人机提供途中换电以克服其续航里程难题。为此,本文提出一类全新的无人机救援网络规划问题,在充分考虑次生灾害导致设施中断的情形下,通过集成优化换电设施的选址布局和无人机的飞行路径,来使得无人机从起点出发后能够以最大的概率到达最多的救援任务需求点。针对该问题,将其构建为一类非线性混合整数规划模型,通过构建“最大设施连通网络”来简化模型,并据此设计一类两阶段混合算法求解。最后,以“9·5泸定地震”为背景进行算例分析,验证了模型和算法的有效性,获得了不同情境设置下有关换电设施选址、无人机飞行路径的集成优化方案。

关键词: 无人机, 应急救援, 换电模式, 设施中断, 网络设计

Abstract:

In recent years, while Unmanned Aerial Vehicles (UAVs) have played a significant role in various rescue operations, they are constrained by inherent limitations of short flight endurance. To address this, deploying a network of battery swapping stations (BSS) in post-disaster scenarios allows UAVs to effectively overcoming their range limitations. This context imparts considerable theoretical and practical significance to the study of designing UAV-based emergency rescue networks under a battery-swapping paradigm.Against this backdrop, a novel planning problem is introduced for UAV rescue networks. The problem investigates how to integrally optimize the location of BSS and the flight paths of UAVs, under conditions where BSS are subject to disruptions from secondary disasters. The objective is to maximize the number of rescue demand points a UAV can visit, with the highest possible probability, after departing from its depot. This problem is fundamentally an integration of the interdiction covering location problem, the maximal covering location problem, and the most reliable path problem, requiring simultaneous decisions on BSS locations and UAV routing.This problem is formulated as a nonlinear mixed-integer programming model. To solve the model, it is simplified by constructing a “maximal facility-connected network” and subsequently a two-stage hybrid algorithm is designed. In the first stage, an exhaustive search or a genetic algorithm is employed to search and update the location decision variables. In the second stage, the maximal facility-connected network is generated, and the optimal flight plan is then solved.Finally, the model and algorithm are validated using data from the “9/5 Luding Earthquake.” The results reveal several key findings: (1) Increasing the number of BSS, extending UAV flight endurance, and enhancing flight speed all contribute to improving the coverage of post-disaster rescue demand points. (2) Although increasing the number of BSS improves demand coverage and rescue effectiveness, it paradoxically reduces the reliability of UAV flight paths under disruption scenarios, leading to a trade-off among effectiveness, reliability, and timeliness. (3) Increasing the number of UAV depots (take-off points) can simultaneously enhance rescue effectiveness, reliability, and timeliness. This positive synergistic effect remains robust and is not adversely affected by changes in the number of BSS or UAV flight endurance.

Key words: unmanned aerial vehicle, emergency rescue, battery swapping mode, facility interruption, network design

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