Systems Engineering and Electronics ›› 2023, Vol. 45 ›› Issue (5): 1380-1390.doi: 10.12305/j.issn.1001-506X.2023.05.14
• Systems Engineering • Previous Articles
Yao LIU, Yangsheng XIA, Jianmai SHI, Chao CHEN, Jincai HUANG
Received:
2021-10-22
Online:
2023-04-21
Published:
2023-04-28
Contact:
Jianmai SHI
CLC Number:
Yao LIU, Yangsheng XIA, Jianmai SHI, Chao CHEN, Jincai HUANG. Path planning method for multi-area coverage by cooperated ground vehicle multi-drone[J]. Systems Engineering and Electronics, 2023, 45(5): 1380-1390.
Table 1
Notations and meaning"
符号 | 含义 |
集合: | |
G | 定义问题的无向图; |
E | 所有弧的集合; |
S | S={1, 2, …, a}, 所有区域的集合; |
Mns | 区域s子区域的集合, n ={1, 2, …, ms}, s∈S; |
V | 所有区域的顶点集合; |
Vs | 区域s的顶点集合, 其中s∈S; |
N0 | N0={0}, 基站; |
N | N={1, 2, …, n}, 所有区域附近停点的集合; |
Ns | 区域s附近的停点集合, 其中s∈S; |
fps | 区域s中被选中的起飞停点集合, 其中s∈S; |
lps | 区域s中被选中的降落停点集合, 其中s∈S; |
Ps | 区域s中所有扫描路径的起点和终点的集合, 其中s∈S; |
Usk | 区域s中第k架无人机所有扫描路径的集合, 其中k={1, 2, …, ms}, s∈S; |
Psk | 区域s中第k架无人机覆盖路径的起点和终点的集合, 其中k={1, 2, …, ms}, s∈S; |
PMns | 区域s中子区域n中无人机覆盖路径的起点和终点的集合; |
R | 车辆可以行进的一组弧线集合; |
参数: | |
LijF | 点i到点j的Floyd距离, 其中i, j∈N0∪N; |
lsk | 侦察区域s中第k架无人机扫描路径的长度, 其中k={1, 2, …, ms}, s∈S; |
vG | 车辆的平均行驶速度; |
vD | 无人机的平均飞行速度; |
As | 区域s的面积, 其中s∈S; |
Z | 完成侦察任务所需的总时间; |
Tmax | 无人机的最大续航时间; |
ms | 侦察区域s所需的无人机数量, 其中s∈S; |
决策变量: | |
xij | 如果车辆从点i行驶到点j, 则为1, 否则为0, 其中s∈S; |
yijsk | 在区域s中, 如果第k架无人机从点i飞到点j, 则为1, 否则为0, 其中k={1, 2, …, ms}, s∈S。 |
Table 4
Calculation results of 10 random cases"
案例编号 | 区域数量 | VPP算法/min | MAC-PO算法/min | OTOD模式/min | 提升度1/% | 提升度2/% |
1 | 7 | 309.92 | 221.89 | 436.50 | 28.40 | 49.17 |
2 | 8 | 371.45 | 268.33 | 519.34 | 27.76 | 48.33 |
3 | 9 | 417.05 | 299.05 | 570.48 | 28.29 | 47.58 |
4 | 10 | 425.76 | 321.12 | 633.66 | 24.58 | 49.32 |
5 | 11 | 467.43 | 330.56 | 605.39 | 29.28 | 45.40 |
6 | 12 | 513.51 | 366.34 | 732.68 | 28.66 | 50.00 |
7 | 13 | 547.19 | 411.42 | 795.64 | 24.81 | 48.29 |
8 | 14 | 619.34 | 428.17 | 850.13 | 30.87 | 49.63 |
9 | 15 | 670.44 | 474.31 | 924.78 | 29.25 | 48.71 |
10 | 16 | 701.50 | 499.35 | 952.27 | 28.82 | 47.56 |
1 |
ABUALIGAH L , DIABAT A , SUMARI P , et al. Applications, deployments, and integration of internet of drones (IoD): a review[J]. IEEE Sensors Journal, 2021, 21 (22): 25532- 25546.
doi: 10.1109/JSEN.2021.3114266 |
2 | DAUD S M , YUSOF M Y , HEO C C , et al. Applications of drone in disaster management: a scoping review[J]. Science & Justice, 2021, 62 (1): 30- 42. |
3 |
NEDJATI A , IZBIRAK G , VIZVARI B , et al. Complete cove-rage path planning for a multi-UAV response system in post-earthquake assessment[J]. Robotics, 2016, 5 (4): 26- 40.
doi: 10.3390/robotics5040026 |
4 |
SHAHMORADI J , TALEBI E , ROGHANCHI P , et al. A comprehensive review of applications of Drone technology in the mining industry[J]. Drones, 2020, 4 (3): 34- 58.
doi: 10.3390/drones4030034 |
5 | MADJIDI H, NEGAHDARIPOUR S, BANDARI E. Vision-based positioning and terrain mapping by global alignment for UAVs[C]//Proc. of the IEEE Conference on Advanced Video and Signal Based Surveillance, 2003: 305-312. |
6 |
LYU X , LI X B , DANG D L , et al. Unmanned aerial vehicle (UAV) remote sensing in grassland ecosystem monitoring: a systematic review[J]. Remote Sensing, 2022, 14 (5): 1096- 1114.
doi: 10.3390/rs14051096 |
7 |
OKSANEN T , VISALA A . Coverage path planning algorithms for agricultural field machines[J]. Journal of Field Robotics, 2009, 26 (8): 651- 668.
doi: 10.1002/rob.20300 |
8 | 庞强伟, 胡永江, 李文广, 等. 多无人机协同侦察任务规划方法研究综述[J]. 电讯技术, 2019, 59 (6): 741- 748. |
PANG Q W , HU Y J , LI W G , et al. Research on multi-UAV cooperative reconnaissance mission planning methods: an overview[J]. Telecommunication Engineering, 2019, 59 (6): 741- 748. | |
9 | 谢朋志, 魏晨. 单侧区域分割的多无人机扫描线搜索方法研究[J]. 航空兵器, 2020, 27 (3): 67- 72. |
XIE P Z , WEI C . Research on scanning line search method for multi-UAV based on unilateral region segmentation[J]. Aero Weaponry, 2020, 27 (3): 67- 72. | |
10 | 庞强伟, 胡永江, 李文广. 基于垂直区域宽度分解的无人机覆盖航迹规划[J]. 系统工程与电子技术, 2019, 41 (11): 2550- 2558. |
PANG Q W , HU Y J , LI W G . UAV coverage track planning based on decomposition along the direction of perpendicular to the width of the area[J]. Systems Engineering and Electronics, 2019, 41 (11): 2550- 2558. | |
11 | 王勋, 姚佩阳, 梅权. 多无人机协同运动目标搜索问题研究[J]. 电光与控制, 2016, 23 (8): 18- 22. |
WANG X , YAO P Y , MEI Q . On multi-UAV cooperation for moving target searching[J]. Electronics Optics & Control, 2016, 23 (8): 18- 22. | |
12 | AKSHYA J , PRIYADARSINI P L K . Graph-based path planning for intelligent UAVs in area coverage applications[J]. Journal of Intelligent & Fuzzy Systems, 2020, 39 (6): 8191- 8203. |
13 | LI J D, LI X Q, YU L J. Multi-UAV cooperative coverage path planning in plateau and mountain environment[C]//Proc. of the 33rd Youth Academic Annual Conference of Chinese Association of Automation, 2018: 820-824. |
14 |
XIAO S C , TAN X J , WANG J P . A simulated annealing algorithm and grid map-based UAV coverage path planning method for 3D reconstruction[J]. Electronics, 2021, 10 (7): 853- 868.
doi: 10.3390/electronics10070853 |
15 |
YUAN J B , LIU Z B , LIAN Y D , et al. Global optimization of UAV area coverage path planning based on good point set and genetic algorithm[J]. Aerospace, 2022, 9 (2): 86- 104.
doi: 10.3390/aerospace9020086 |
16 |
SANTIN R , ASSIS L , VIVAS A , et al. Matheuristics for multi-UAV routing and recharge station location for complete area coverage[J]. Sensors, 2021, 21 (5): 1705- 1738.
doi: 10.3390/s21051705 |
17 | MURRAY C C , CHU A G . The flying sidekick traveling salesman problem: optimization of drone-assisted parcel delivery[J]. Transportation Research Part C: Emerging Technologies, 2015, (54): 86- 109. |
18 | MANYAM S G, CASBEER D W, SUNDAR K. Path planning for cooperative routing of air-ground vehicles[C]//Proc. of the American Control Conference, 2016: 4630-4635. |
19 | DENG C , WANG S W , HUANG Z , et al. Unmanned aerial vehicles for power line inspection: a cooperative way in platforms and communications[J]. Communication, 2014, 9 (9): 687- 692. |
20 | MOSHREF J M , WINKENBACH M . Applications and research avenues for drone-based models in logistics: a classification and review[J]. Expert Systems with Applications, 2021, 177, 114854. |
21 | AGATZ N , BOUMAN P , SCHMIDT M . Optimization approaches for the traveling salesman problem with drone[J]. Transportation Science, 2018, 52 (4): 965- 981. |
22 | LIU Y , LIU Z , SHI J M , et al. Two-echelon routing problem for parcel delivery by cooperated truck and drone[J]. IEEE Trans.on Systems, Man, Cybernetics: Systems, 2021, 51 (12): 7450- 7465. |
23 | GONZALEZ R P L , CANCA D , ANDRADE-PINEDA J L , et al. Truck-drone team logistics: a heuristic approach to multi-drop route planning[J]. Transportation Research Part C: Emerging Technologies, 2020, 114, 657- 680. |
24 | OTTO A , AGATZ N , CAMPBELL J , et al. Optimization approaches for civil applications of unmanned aerial vehicles (UAVs) or aerial drones: a survey[J]. Networks, 2018, 72 (4): 411- 458. |
25 | MACRINA G , PUGLIESE L D P , GUERRIERO F , et al. Drone-aided routing: a literature review[J]. Transportation Research Part C: Emerging Technologies, 2020, 120, 102762- 102813. |
26 | CHUNG S H , SAH B , LEE J . Optimization for drone and drone-truck combined operations: a review of the state of the art and future directions[J]. Computers & Operations Research, 2020, 123, 105004- 105083. |
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 | CLARKE G , WRIGHT J W . Scheduling of vehicles from a central depot to a number of delivery points[J]. Operations Research, 1964, 12 (4): 568- 581. |
29 | STEINBRUNN M , MOERKOTTE G , KEMPER A . Heuristic and randomized optimization for the join ordering problem[J]. The International Journal on Very Large Data Bases, 1997, 6 (3): 191- 208. |
30 | 夏桂梅, 曾建潮. 一种基于轮盘赌选择遗传算法的随机微粒群算法[J]. 计算机工程与科学, 2007, 29 (6): 51- 54. |
XIA G M , ZENG J C . A stochastic particle swarm optimization algorithm based on the genetic algorithm of roulette wheel selection[J]. Computer Engineering & Science, 2007, 29 (6): 51- 54. |
[1] | Wei HAN, Zixuan LIU, Xichao SU, Kaikai CUI, Jie LIU. Deck path planning algorithm of carrier-based aircraft based on heuristic and optimal control [J]. Systems Engineering and Electronics, 2023, 45(4): 1098-1110. |
[2] | Haojie ZHANG, Yudong ZHANG, Rongmin LIANG, Tiantian YANG. Energy-efficient path planning method for robots based on improved A* algorithm [J]. Systems Engineering and Electronics, 2023, 45(2): 513-520. |
[3] | Zhi REN, Dong ZHANG, Shuo TANG. Improved three-dimensional A* algorithm of real-time path planning based on reinforcement learning [J]. Systems Engineering and Electronics, 2023, 45(1): 193-201. |
[4] | Haobo FENG, Qiao HU, Zhenyi ZHAO. AUV swarm path planning based on elite family genetic algorithm [J]. Systems Engineering and Electronics, 2022, 44(7): 2251-2262. |
[5] | Shaolong YANG, Jin HUANG, Xianbo XIANG, Weichao LI. Optimization of USV area coverage path planning based on confidence ellipsoid [J]. Systems Engineering and Electronics, 2022, 44(7): 2263-2269. |
[6] | Jiawei ZHANG, Fengchen QIAN, Junqiang YANG, Qian ZHAO, Zhengrong ZHANG. Survey on routing and spectrum allocation algorithm in elastic optical networks [J]. Systems Engineering and Electronics, 2022, 44(6): 2001-2010. |
[7] | Changxiao ZHAO, Ershuai LI, Feng HE, Peng WANG. Bandwidth allocation and optimization of time-sensitive traffic in TSN [J]. Systems Engineering and Electronics, 2022, 44(6): 2027-2034. |
[8] | Liqiang XIN, Chao ZHANG, Lingzhi ZHAO, Jianping LIU. Conflict avoidance scheduling algorithm for complex associated TT & C requirements [J]. Systems Engineering and Electronics, 2022, 44(5): 1581-1588. |
[9] | Dou CHEN, Xiuyun MENG. UAV offline path planning based on self-adaptive coyote optimization algorithm [J]. Systems Engineering and Electronics, 2022, 44(2): 603-611. |
[10] | Yang YIN, Quanshun YANG, Zheng WANG, Yang LIU. USV cluster coverage search method with communication distance constraint [J]. Systems Engineering and Electronics, 2022, 44(12): 3821-3828. |
[11] | Qingqing YANG, Yingying GAO, Yu GUO, Boyuan XIA, Kewei YANG. Target search path planning for naval battle field based on deep reinforcement learning [J]. Systems Engineering and Electronics, 2022, 44(11): 3486-3495. |
[12] | Tong HAN, Andi TANG, Huan ZHOU, Dengwu XU, Lei XIE. Multiple UAV cooperative path planning based on LASSA method [J]. Systems Engineering and Electronics, 2022, 44(1): 233-241. |
[13] | Weiqiang MA, Yongqi GAO, Miao ZHAO. Global-best difference-mutation brain storm optimization algorithm [J]. Systems Engineering and Electronics, 2022, 44(1): 270-278. |
[14] | Lei LAI, Kun ZOU, Dewei WU, Baozhong LI. Multi-UAV cooperative path planning based on improved MOFA evolution of interactive strategy [J]. Systems Engineering and Electronics, 2021, 43(8): 2282-2289. |
[15] | Zhiqiang JIAO, Jieyong ZHANG, Peiyang YAO, Xun WANG, Yichao HE. Distributed evolution method of C4ISR service deployment based on hierarchical structure [J]. Systems Engineering and Electronics, 2021, 43(6): 1572-1585. |
Viewed | ||||||
Full text |
|
|||||
Abstract |
|
|||||