Systems Engineering and Electronics ›› 2026, Vol. 48 ›› Issue (1): 144-156.doi: 10.12305/j.issn.1001-506X.2026.01.14
• Systems Engineering • Previous Articles Next Articles
Fangyu HONG1(
), Qing YE2, Lining ZHANG3, Guohua WU4,*
Received:2025-06-19
Online:2026-01-25
Published:2026-02-11
Contact:
Guohua WU
E-mail:fangyuhong@csu.edu.cn
CLC Number:
Fangyu HONG, Qing YE, Lining ZHANG, Guohua WU. Vehicle-based multi-UAV cooperative task planning method for area search[J]. Systems Engineering and Electronics, 2026, 48(1): 144-156.
Table 1
Setting of algorithm parameters"
| 参数 | 设定值 |
| 无人机续航时间 | 50 |
| 无人机扫描宽度 | 100 |
| 最大网格搜索面积/km2 | 4 |
| 覆盖重叠率/% | 20 |
| 无人机飞行速度 | 80 |
| 卡车行驶速度 | 40 |
| 机动航程 | 6 |
| 初始温度 | |
| 终止温度 | 10 |
| 降温速度 | 0.97 |
| 等温过程最大迭代次数 | 10 |
| 最大迭代次数 | |
| 禁忌表长度 | 50 |
Table 3
Total task completion time of ALNSAWPT for different instances s"
| 多车多无人机情形 | 算例1 | 算例2 | 算例3 | 算例4 | 算例5 |
| 1车4无人机 | |||||
| 1车5无人机 | |||||
| 1车6无人机 | |||||
| 1车7无人机 | |||||
| 2车4无人机 | |||||
| 2车5无人机 | |||||
| 2车6无人机 | |||||
| 2车7无人机 | |||||
| 2车8无人机 | |||||
| 2车9无人机 | |||||
| 2车10无人机 | |||||
| 3车6无人机 | |||||
| 3车7无人机 | |||||
| 3车8无人机 | |||||
| 3车9无人机 | |||||
| 3车10无人机 |
Table 4
Improvement of ISGDS by ALNSAWPT %"
| 多车多无人机情形 | 算例1 | 算例2 | 算例3 | 算例4 | 算例5 | 平均提升度 |
| 2车4无人机 | 8.32 | 6.22 | 6.70 | 10.90 | 9.70 | 8.37 |
| 2车5无人机 | 8.12 | 8.14 | 6.20 | 6.90 | 12.30 | 8.33 |
| 2车6无人机 | 6.90 | 9.30 | 9.10 | 9.50 | 13.60 | 9.68 |
| 2车7无人机 | 10.08 | 9.62 | 8.90 | 10.10 | 11.20 | 9.98 |
| 2车8无人机 | 10.39 | 11.69 | 13.50 | 7.40 | 8.90 | 10.38 |
| 2车9无人机 | 6.94 | 10.72 | 11.30 | 11.80 | 10.10 | 10.17 |
| 2车10无人机 | 7.58 | 10.03 | 12.80 | 12.60 | 7.80 | 10.16 |
| 3车6无人机 | 8.08 | 9.76 | 5.90 | 8.70 | 7.60 | 8.01 |
| 3车7无人机 | 6.55 | 11.01 | 9.60 | 7.80 | 10.50 | 9.09 |
| 3车8无人机 | 9.62 | 10.48 | 7.80 | 15.30 | 14.50 | 11.54 |
| 3车9无人机 | 7.02 | 7.56 | 14.10 | 14.20 | 15.40 | 11.66 |
| 3车10无人机 | 8.59 | 11.48 | 10.20 | 13.50 | 6.90 | 10.13 |
| 平均提升度 | 8.17 | 9.98 | 9.95 | 10.71 | 10.80 | 9.92 |
Table 5
Efficiency improvement by increase of trucks number"
| 算例 | 无人机数量 | 2辆卡车相比1辆 卡车效率提升/% | 3辆卡车相比2辆 卡车效率提升/% |
| 算例1 | 4 | 52.20 | — |
| 5 | 50.14 | — | |
| 6 | 52.94 | 29.67 | |
| 7 | 50.85 | 32.10 | |
| 算例2 | 4 | 51.48 | — |
| 5 | 49.91 | — | |
| 6 | 53.13 | 28.89 | |
| 7 | 52.42 | 29.94 | |
| 算例3 | 4 | 48.38 | — |
| 5 | 51.73 | — | |
| 6 | 48.32 | 35.26 | |
| 7 | 50.45 | 32.68 | |
| 算例4 | 4 | 49.05 | — |
| 5 | 50.00 | — | |
| 6 | 52.74 | 29.46 | |
| 7 | 51.06 | 31.94 | |
| 算例5 | 4 | 47.40 | — |
| 5 | 50.33 | — | |
| 6 | 49.52 | 33.95 | |
| 7 | 50.90 | 32.09 | |
| 均值 | 50.65 | 31.60 | |
| 1 |
FAN M F, LIU H, WU G H, et al. Multi-UAV reconnaissance mission planning via deep reinforcement learning with simulated annealing[J]. Swarm and Evolutionary Computation, 2025, 93, 101858.
doi: 10.1016/j.swevo.2025.101858 |
| 2 | ZHANG X, ZENG S. The drone-assisted simultaneous pickup and delivery problem with time windows[J]. Computers & Operations Research, 2025, 178, 106996. |
| 3 |
JIN Z Y, NG K K H, ZHANG C L, et al. A risk-averse distributionally robust optimisation approach for drone-supported relief facility location problem[J]. Transportation Research Part E-Logistics and Transportation Review, 2024, 186, 103538.
doi: 10.1016/j.tre.2024.103538 |
| 4 |
HOANG V D, EBEID E S M. Manipulating magnetic field of the magnetic gripper with charging feature for drones on energized power lines[J]. IEEE Trans. on Industrial Electronics, 2024, 71 (11): 14691- 14700.
doi: 10.1109/TIE.2024.3363774 |
| 5 |
LIU C F, WICKRAMASINGHE N D, SURAWEERA H A, et al. URLLC-aware proactive UAV placement in internet of vehicles[J]. IEEE Trans. on Intelligent Transportation Systems, 2024, 25 (8): 10446- 10451.
doi: 10.1109/TITS.2024.3352971 |
| 6 |
FENG L C, KATUPITIYA J. UAV-based persistent full area coverage with dynamic priorities[J]. Robotics and Autonomous Systems, 2022, 157, 104244.
doi: 10.1016/j.robot.2022.104244 |
| 7 |
XIAO Y G, YANG H, LIU H, et al. AAV 3-D path planning based on MOEA/D with adaptive areal weight adjustment[J]. IEEE Trans. on Aerospace and Electronic Systems, 2025, 61 (1): 753- 769.
doi: 10.1109/TAES.2024.3449795 |
| 8 |
XU B J, ZHAO K X, LUO Q Z, et al. A GV-drone arc routing approach for urban traffic patrol by coordinating a ground vehicle and multiple drones[J]. Swarm and Evolutionary Computation, 2023, 77, 101246.
doi: 10.1016/j.swevo.2023.101246 |
| 9 |
XIA Y S, CHEN C, LIU Y, et al. Two-layer path planning for multi-area coverage by a cooperative ground vehicle and drone system[J]. Expert Systems with Applications, 2023, 217, 119604.
doi: 10.1016/j.eswa.2023.119604 |
| 10 |
田双喜, 陈洪辉, 徐彬杰, 等. 车辆支持的多无人机多区域覆盖路径规划算法[J]. 国防科技大学学报, 2024, 46 (6): 227- 234.
doi: 10.11887/j.cn.202406025 |
|
TIAN S X, CHEN H H, XU B J. Coverage path planning algorithm for multi-area by truck-supported multi-UAV[J]. Journal of National University of Defense Technology, 2024, 46 (6): 227- 234.
doi: 10.11887/j.cn.202406025 |
|
| 11 |
MURRAY C C, RAJ R. The multiple flying sidekicks traveling salesman problem: parcel delivery with multiple drones[J]. Transportation Research Part C: Emerging Technologies, 2020, 110, 368- 398.
doi: 10.1016/j.trc.2019.11.003 |
| 12 |
WU G H, MAO N, LUO Q Z, et al. Collaborative truck-drone routing for contactless parcel delivery during the epidemic[J]. IEEE Trans. on Intelligent Transportation Systems, 2022, 23 (12): 25077- 25091.
doi: 10.1109/TITS.2022.3181282 |
| 13 |
HAM A M. Integrated scheduling of m-truck, m-drone, and m-depot constrained by time-window, drop-pickup, and m-visit using constraint programming[J]. Transportation Research Part C: Emerging Technologies, 2018, 91, 1- 14.
doi: 10.1016/j.trc.2018.03.025 |
| 14 |
YANPIRAT N, SILVA D F, SMITH A E. Sustainable last mile parcel delivery and return service using drones[J]. Engineering Applications of Artificial Intelligence, 2023, 124, 106631.
doi: 10.1016/j.engappai.2023.106631 |
| 15 | 夏雨奇, 黄炎焱, 陈恰. 基于深度Q网络的无人车侦察路径规划[J]. 系统工程与电子技术, 2024, 46 (9): 3070- 3081. |
| XIA Y Q, HUANG Y Y, CHEN Q. Path planning for unmanned vehicle reconnaissance based on deep Q-network[J]. Systems Engineering and Electronics, 2024, 46 (9): 3070- 3081. | |
| 16 |
DUKKANCI O, CAMPBELL J F, KARA B Y. Facility location decisions for drone delivery: a literature review[J]. European Journal of Operational Research, 2024, 316 (2): 397- 418.
doi: 10.1016/j.ejor.2023.10.036 |
| 17 |
ZHOU H, QIN H, CHENG C, et al. An exact algorithm for the two-echelon vehicle routing problem with drones[J]. Transportation Research Part B-Methodological, 2023, 168, 124- 150.
doi: 10.1016/j.trb.2023.01.002 |
| 18 |
LIU Y C. Routing battery-constrained delivery drones in a depot network: a business model and its optimization-simulation assessment[J]. Transportation Research Part C-Emerging Technologies, 2023, 152, 104147.
doi: 10.1016/j.trc.2023.104147 |
| 19 |
XIA Y, ZENG W J, ZHANG C R, et al. A branch-and-price-and-cut algorithm for the vehicle routing problem with load-dependent drones[J]. Transportation Research Part B-Methodological, 2023, 171, 80- 110.
doi: 10.1016/j.trb.2023.03.003 |
| 20 |
HONG F Y, WU G H, LUO Q Z, et al. Logistics in the sky: a two-phase optimization approach for the drone package pickup and delivery system[J]. IEEE Trans. on Intelligent Transportation Systems, 2023, 24 (9): 9175- 9190.
doi: 10.1109/TITS.2023.3271430 |
| 21 |
MENG S S, CHEN Y R, LI D. The multi-visit drone-assisted pickup and delivery problem with time windows[J]. European Journal of Operational Research, 2024, 314 (2): 685- 702.
doi: 10.1016/j.ejor.2023.10.021 |
| 22 |
范厚明, 甘兰, 张跃光, 等. 有禁飞区的时间依赖型车辆与无人机协同配送路径优化[J]. 控制理论与应用, 2024, 41 (2): 321- 330.
doi: 10.7641/CTA.2022.20249 |
|
FAN H M, GAN L, ZHANG Y G, et al. Time-dependent vehicle routing problem with drones considering no-fly zones[J]. Control Theory & Applications, 2024, 41 (2): 321- 330.
doi: 10.7641/CTA.2022.20249 |
|
| 23 |
MENG S S, GUO X P, LI D, et al. The multi-visit drone routing problem for pickup and delivery services[J]. Transportation Research Part E-Logistics and Transportation Review, 2023, 169, 102990.
doi: 10.1016/j.tre.2022.102990 |
| 24 | 薛镇涛, 陈建, 张自超, 等. 基于复杂地块凸划分优化的多无人机覆盖路径规划[J]. 航空学报, 2022, 43 (12) |
| XUE Z T, CHEN J, ZHANG Z C, et al. Multi-UAV coverage path planning based on optimization of convex division of complex plots[J]. Acta Aeronautics et Astronautica Sinica, 2022, 43 (12) | |
| 25 |
CHEN G Z, SHEN Y, ZHANG Y X, et al. 2D multi-area coverage path planning using L-SHADE in simulated ocean survey[J]. Applied Soft Computing, 2021, 112, 107754.
doi: 10.1016/j.asoc.2021.107754 |
| 26 |
CABREIRA T M, DI-FRANCO C, FERREIRA P R, et al. Energy-aware spiral coverage path planning for UAV photogrammetric applications[J]. IEEE Robotics and Automation Letters, 2018, 3 (4): 3662- 3668.
doi: 10.1109/LRA.2018.2854967 |
| 27 | 夏阳升, 石建迈, 陈超, 等. 车机协同多区域覆盖侦察路径规划方法[J]. 指挥与控制学报, 2020, 6 (4): 372- 380. |
| XIA Y S, SHI J M, CHEN C, et al. Path planning method for multi-area reconnaissance by cooperated ground vehicle and drone[J]. Journal of Command and Control, 2020, 6 (4): 372- 380. | |
| 28 |
KITJACHAROENCHAI P, MIN B C, LEE S. Two echelon vehicle routing problem with drones in last mile delivery[J]. International Journal of Production Economics, 2020, 225, 107598.
doi: 10.1016/j.ijpe.2019.107598 |
| 29 |
ROPERO F, MUÑOZ P, R-MORENO M D. TERRA: a path planning algorithm for cooperative UGV-UAV exploration[J]. Engineering Applications of Artificial Intelligence, 2019, 78, 260- 272.
doi: 10.1016/j.engappai.2018.11.008 |
| 30 |
ATENCIA C R, DEL-SER J, CAMACHO D. Weighted strategies to guide a multi-objective evolutionary algorithm for multi-UAV mission planning[J]. Swarm and Evolutionary Computation, 2019, 44, 480- 495.
doi: 10.1016/j.swevo.2018.06.005 |
| 31 |
LUO Q Z, WU G H, JI B, et al. Hybrid multi-objective optimization approach with Pareto local search for collaborative truck-drone routing problems considering flexible time windows[J]. IEEE Trans. on Intelligent Transportation Systems, 2022, 23 (8): 13011- 13025.
doi: 10.1109/TITS.2021.3119080 |
| 32 |
ROPKE S, PISINGER D. An adaptive large neighborhood search heuristic for the pickup and delivery problem with time windows[J]. Transportation Science, 2006, 40 (4): 455- 472.
doi: 10.1287/trsc.1050.0135 |
| 33 | SOARES L C R, CARVALHO M A M. Biased random-key genetic algorithm for the job sequencing and tool switching problem with non-identical parallel machines[J]. Computers & Operations Research, 2024, 163, 106509. |
| [1] | Jianbo YUAN, Yonghao DU, Yingguo CHEN, Yongming HE. Research on imaging satellite mission planning model and algorithm for point-cluster and large-region targets [J]. Systems Engineering and Electronics, 2025, 47(9): 2939-2950. |
| [2] | Yi JIANG, Yuhe MAO, Chengfei YUE, Yunhua WU. Mega-constellation situational awareness mission planning with multi-constraints [J]. Systems Engineering and Electronics, 2025, 47(9): 3047-3057. |
| [3] | Xuesong WANG, Jiapeng YIN, Jiankai HUANG, Jianbing LI, Yongzhen LI. Air floating ball trajectory prediction and payload judgment with radar wind field inversion [J]. Systems Engineering and Electronics, 2025, 47(9): 2839-2852. |
| [4] | LI Zhiliang, LI Xiaojiang, ZHANG Donglai. Proactive scheduling of agile imaging satellite based on improved differential evolution algorithm [J]. Systems Engineering and Electronics, 2018, 40(2): 353-359. |
| [5] | GUO Xiaoting, SUN Changku, WANG Peng. Vision and inertial fusion attitude measurement based on diagonalization of matrix robust QCKF [J]. Systems Engineering and Electronics, 2018, 40(2): 402-408. |
| Viewed | ||||||
|
Full text |
|
|||||
|
Abstract |
|
|||||