UAV Path Planning Trends from 2000 to 2024: A Bibliometric Analysis and Visualization
Abstract
:1. Introduction
- We examine the progression of UAV path planning from multiple perspectives and delineate four distinct stages in its evolution.
- We offer a comprehensive analysis of advancements in UAV path planning through a bibliometric perspective. This analysis highlights the key contributors in this field, including academic journals, research institutions, and geographical regions, while also outlining the relevant academic disciplines involved.
- We examine the research hotspots and trends in the field of UAV path planning from 2001 to 2024, while also highlighting recent research findings in application scenarios since 2022.
2. Evolution, Methods, and Models for UAV Path Planning
2.1. Stages of UAV Path Planning Development
- Early Exploratory Stage
- Classical Algorithm Stage
- Intelligent Algorithm Application Stage
- Multi-Intelligence Collaborative Stage
2.2. Basic Model
- Equation (1) represents the UAV steering angle constraint, where denotes the maximum steering angle of the UAV. If the steering angle is excessively large, the UAV may lose control or incur damage. It is crucial to ensure that the steering error does not exceed the mechanical and control system’s limitations.
- Equation (2) represents the UAV climbing angle constraint, where denotes the maximum climbing angle. This constraint limits the vertical climb or descent to prevent loss of control due to excessively steep flight paths.
- Equation (3) represents the UAV turning radius constraint, where denotes the minimum turning radius and represents the minimum flight speed. These constraints prevent the UAV from losing control due to excessively small turning radii.
- Equations (4) and (5) represent the flight altitude and endurance constraints, respectively. and denote the maximum and minimum flight altitudes within the flight environment. denotes the total flight time for the UAV to reach its current position, and represents the maximum endurance time.
- Equation (6) represents the energy cost, which incorporates the minimum power , altitude , maximum power , and speed v, reflecting variations in the UAV’s energy consumption under different flight conditions.
- Equation (7) represents the total communication cost, which depends on the number of communication links between the UAV and the control station, as well as the communication time. The value of is correlated with the distance between the UAV and the control station. Equation (8) represents the range length cost, which is calculated based on the total length of the UAV’s flight path.
- Equation (9) represents the threat cost, which depends on the distance between the UAV and the threat.
- Equations (10) and (11) represent the altitude cost and smoothing cost, respectively, both of which are related to the UAV’s energy consumption and flight stability. Equation (12) represents the total cost of the flight, providing a comprehensive metric to assess both the efficiency and safety of the UAV’s flight path.
3. Study Design
3.1. Data Sources
3.2. Visualization Tools
3.3. Methodology
4. External Characterization
4.1. Number and Sources of Publications
4.2. Institution and Country/Region Statistics
4.3. Subject Areas Statistics
- Engineering (2590; 0.62);
- Computer Science (1733; 0.38);
- Telecommunications (1285; 0.09);
- Automation & Control Systems (789; 0.34);
- Robotics (445; 0.11);
- Remote Sensing (277; 0.17);
- Transportation (235; 0.32);
- Instruments & Instrumentation (206; 0.17);
- Chemistry (173; 0.05);
- Operations Research & Management Science (143; 0.06).
- Subject areas distribution pattern: As shown in Figure 9a, the literature from the fields of Systems, Computing, and Computer Science is notably influenced by literature from the fields of Mathematics, Systems, and Mathematical Sciences (z = 7.29, f = 136,808). This strong citation relationship highlights that Mathematics and Systems form the foundational basis of the UAV path planning field, which is more maturely developed. In contrast, Systems, Computing, and Computer Science are the current focal areas of UAV path planning research. These areas include advanced topics such as reinforcement learning, deep learning, control systems, computer vision & image processing, and networking & communication, along with applications in simulation & virtual reality.
- Node association pattern: As observed on the right-hand side of the citing journal, the fields of Earth, Geology, Geophysics, Chemistry, Materials, Physics, Mathematics, Mechanics, Psychology, Education, Social Sciences, Molecular Biology & Genetics, and Plant Ecology, Zoology, as well as Economics, Political Science, are closely interconnected. This indicates that the UAV path planning research field has extensive coverage, spanning multiple areas and applications.
5. Research Trends and Burst Papers
5.1. Co-Citation Clustering Analysis
- The first trend is “multi-objective cooperative control problems in cluttered natural environments”, which in chronological order are #9 target assignment (1; 58; 2002), #13 using multi-objective evolutionary algorithm (0.978; 29; 2005), #6 cluttered natural environment (0.972; 75; 2005).
- The second trend is “high-performance UAV obstacle avoidance technology”, including #8 rapid multi-query path planning (0.977; 70; 2009), #18 cooperative relay (0.998; 16; 2009), #16 3d space (0.993; 21; 2009), #2 linear programming (0.916; 234; 2012).
- The third trend is defined as “intelligent path planning and scene reconstruction in urban environments” and includes #11 messenger UAV (0.968; 42; 2014), #17 urban scene reconstruction (1; 17; 2015), #7 routing problem (0.913; 71; 2017), #10 autonomous drone racing (0.946; 54; 2018), #5 coverage path planning (0.939; 75; 2018), #0 path planning (0.835; 282; 2019) #19 unmanned aerial vehicle path-planning method (0.978; 16; 2021).
- The fourth trend is summarized as “efficient communication and trajectory optimization for UAV networks”, which includes five clusters that have emerged in the last decade: #1 communication design (0.857; 277; 2018), #3 data collection (0.854; 169; 2020), #4 task offloading (0.89; 115; 2020), #12 irs-assisted UAV network (0.956; 37; 2020), and #14 engineering design problem (0.985; 26; 2021).
5.2. Burst Papers Analysis
- “Wireless Communications with Unmanned Aerial Vehicles: Opportunities and Challenges” (2016) [199]
- “Throughput Maximization for UAV-Enabled Mobile Relaying Systems” (2016) [97]
- “Energy-Efficient UAV Communication with Trajectory Optimization” (2017) [98]
- “Joint Trajectory and Communication Design for Multi-UAV Enabled Wireless Networks” (2018) [99]
6. Research Hot Spots and Frontier
6.1. Keyword Clustering Analysis
- Trajectory Optimization;
- Optimization;
- Communication;
- Navigation;
- Design;
- Task Analysis.
- Constraint: This category includes factors that directly influence UAV path planning and must be taken into account in optimization. Relevant keywords include energy consumption (123), capacity (65), altitude (57), flight (49), physical layer security (39), network (38), time (30), safety (30), batteries (30), costs (25).
- Theoretical approach: These are the algorithms, models, and optimization methods used in UAV path planning. Notable keywords include genetic algorithm (110), particle swarm optimization (103), model (99), heuristic algorithms (86), differential evolution (65), traveling salesman problem (62), maximization (57), minimization (52), NOMA (48), ant colony optimization (31), simulation (28).
- Application: This category includes the practical implementation of UAV path planning in real-world scenarios, such as communication, task scheduling, and resource management. Important keywords include resource management (133), systems (116), wireless communication (116), mobile edge computing (60), mobile computing (11), route planning (59), coverage path planning (57), vehicle (48), 5G (46), surveillance (45), reconfigurable intelligent surface (37), inspection (30), edge computing (30), assignment (28), task offloading (25), transmission (25).
6.2. Frontier Applications
- Engineering optimization in the context of UAVs focuses on enhancing the ability to perform various tasks, such as construction, bridge inspection, and transmission line monitoring. Path planning in these scenarios accounts for factors such as operational efficiency, flight safety, accuracy requirements, and the need for multi-task collaboration [214].
- Environmental monitoring primarily involves the collection of environmental data, particularly in areas such as climate change, air quality, pollution source tracking, and wildlife protection [215]. In this context, path planning accounts for factors like terrain, climate, and other variables to ensure comprehensive and accurate data collection.
- Rescue and emergency response operations heavily rely on efficient path planning, with UAVs deployed in hazardous environments to minimize casualties, improve rescue efforts, and support post-disaster recovery. Key applications include disaster area assessments, personnel search and rescue, and the evacuation of individuals from disaster zones [216].
- Wireless communications have become increasingly important with the rise of technologies such as the IoT and 5G. UAVs are widely employed to establish temporary communication networks, including communication relays, and data transmission [217]. Path planning enables UAVs to identify optimal flight paths for signal coverage, ensuring reliable communication in designated areas.
- Logistics delivery aims to enhance delivery efficiency, optimize flight routes, and minimize energy and time costs. Path planning in this domain considers factors such as geographic information, weather conditions, no-fly zones, and the need to ensure the safety and accuracy of deliveries, including courier services, medical deliveries, and emergency material distribution [218].
7. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Abbreviations
BACOHBA | Bidirectional ant colony and discrete honey badger algorithm |
HBAFOA | Honey badger-fruit fly algorithm |
DETACH | Detect and Remove path intersections to avoid collisions and hazards |
HGWODE | Hybrid GWO and differential evolution algorithm |
BA | Bat algorithm |
BOFBA | Bio-inspired optical flow balance algorithm |
B&P | Branch-and-price |
BLA | Bidirectional labeling algorithm |
TS | Tabu search |
LiDAR | Light detection and ranging |
DPC | Dense point clouds |
DLS | Dual-location sampling scheme |
USS | Upward spiral sampling scheme |
IUS | Inverted-U sampling scheme |
AIS | Asynchronous isometric sampling scheme |
SfM | Structure from motion algorithm |
MVS | Multi-view stereo algorithm |
SA | Simulated annealing algorithm |
ABC | Artificial bee colony algorithm |
DTU | Dynamic truck-UAV collaboration strategy |
TSI | Tabu search-based integrated scheduling algorithm |
RE | Recursion-based evaluation algorithm |
RANSAC | Random sampling consistency algorithm |
SURF | Speeded-up robust features algorithm |
FTA | Fault tree analysis |
BN | Bayesian network |
SICq | Simultaneous inform and connect with QoS |
RPA | Dynamic relay positioning algorithm |
AGSP | Based particle swarm optimization |
SCA | Successive convex approximation |
BCD | Block coordinate descent |
DMSPSO | Dynamic multi-swarm PSO algorithm |
CLPSO | Comprehensive learning PSO algorithm |
QiER | Quantum-inspired experience replay |
COS | Cosine-based approximation |
SAC | Soft actor-critic algorithm |
HGSA | Hybrid genetic and simulated annealing |
MC-SA | Monte Carlo simulation-based sensitivity analysis |
DBSCAN | Density-based spatial clustering of applications with noise |
VCG | Vickrey-clarke-groves mechanism |
NLO | Nonlinear optimization |
VPF-RRT* | Virtual potential field RRT* |
DRNN-PI | Deep recurrent neural networks PI |
APF-IRRT* | Artificial potential field -improved rapidly exploring random trees |
ISOS | Improved symbiotic organisms search |
SCPSO | Sine–cosine particle swarm optimization |
PPO | Proximal policy optimization algorithm |
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Symbol | Definition | Symbol | Definition |
---|---|---|---|
Free space available for drone flight | Position function of the drone at time t | ||
The initial position of the drone | Flight speed of the drone | ||
The target position of the drone | Motor speed multiplier | ||
Minimum power required for drone startup | Number of communication links on the path of the drone | ||
Maximum power of the drone | Time taken between flight nodes of the drone | ||
Total flight time of the drone | Startup time of the drone | ||
Energy consumption cost | Overhead time | ||
Altitude cost | Time spent hovering by the drone | ||
Length cost | Flight reference altitude of the drone | ||
Communication cost | Distance from point i to point j | ||
Threat cost | Distance from the drone to the nearest obstacle | ||
Smoothing cost | The current horizontal yaw angle of the drone | ||
Total flight cost | The current vertical climb angle of the drone | ||
Maximum normal load factor of the drone | The current turning radius of the drone |
Source | Number | IF | H-Index | JCR | Co-Citation Frequency | Found Year |
---|---|---|---|---|---|---|
IEEE Access | 172 | 3.7 | 56 | Q2 | 3582 | 2013 |
IEEE Internet of Things Journal | 129 | 9.0 | 47 | Q1 | 3194 | 2014 |
Drones | 125 | 4.8 | 43 | Q1 | 2649 | 2017 |
IEEE Transactions on Vehicular Technology | 123 | 6.5 | 146 | Q1 | 3173 | 1952 |
Sensors | 111 | 3.7 | 132 | Q2 | 1572 | 2001 |
Journal of Intelligent & Robotic Systems | 64 | 3.2 | 62 | Q2 | 1755 | 1988 |
Applied Sciences-Basel | 62 | 2.7 | 23 | Q2 | 1569 | 2011 |
IEEE Transactions on Wireless Communications | 59 | 8.6 | 186 | Q1 | 3895 | 2002 |
Electronics | 51 | 2.6 | 21 | Q2 | 1327 | 2012 |
IEEE Wireless Communications Letters | 41 | 4.9 | 46 | Q1 | 1502 | 2012 |
R | Issuing Institutions | Number |
---|---|---|
1 | Beihang University | 244 |
2 | Northwestern Polytechnical University | 183 |
3 | Chinese Academy of Sciences | 160 |
4 | Nanjing University of Aeronautics and Astronautics | 150 |
5 | Beijing Institute of Technology | 139 |
6 | National University of Defense Technology | 111 |
7 | Southeast University | 111 |
8 | Beijing Univ of Posts and Telecommunications | 105 |
9 | Xidian University | 73 |
10 | University of Electronic Science and Technology | 71 |
11 | Harbin Institute of Technology | 70 |
12 | University of New South Wales | 70 |
13 | Centre National de la Recherche Scientifique | 69 |
14 | National University of Singapore | 66 |
15 | United States Department of Defense | 65 |
Sum | 1687 |
R | C | Co-Citation | Title | T | C/Y | S | B |
---|---|---|---|---|---|---|---|
1 [199] | 2599 | 195 | Wireless communications with unmanned aerial vehicles: Opportunities and challenges | 2016 | 324.88 | IEEE Communications Magazine | Y (56.721) |
2 [97] | 993 | 161 | Throughput Maximization for UAV-Enabled Mobile Relaying Systems | 2016 | 124.13 | IEEE Trans. Commun. | Y (47.007) |
3 [98] | 1474 | 227 | Energy-Efficient UAV Communication with Trajectory Optimization | 2017 | 210.57 | IEEE Trans. Wireless Commun. | Y (30.131) |
4 [200] | 516 | 122 | Energy-Efficient Data Collection in UAV Enabled Wireless Sensor Network | 2018 | 86 | IEEE Wireless Communications Letters | Y (6.614) |
5 [99] | 1304 | 258 | Joint Trajectory and Communication Design for Multi-UAV Enabled Wireless Networks | 2018 | 217.33 | IEEE Trans. Wireless Commun. | Y (23.423) |
6 [201] | 1114 | 289 | Energy Minimization for Wireless Communication with Rotary-Wing UAV | 2019 | 222.8 | IEEE Trans. Wireless Commun. | N |
7 [202] | 867 | 126 | Accessing From the Sky: A Tutorial on UAV Communications for 5G and Beyond | 2019 | 173.4 | Proc. IEEE | Y (6.584) |
8 [203] | 1590 | 176 | A Tutorial on UAVs for Wireless Networks: Applications, Challenges, and Open Problems | 2019 | 318 | IEEE Commun. Surv. Tutorials | N |
9 [204] | 268 | 104 | Survey on Coverage Path Planning with Unmanned Aerial Vehicles | 2019 | 53.6 | Drones | N |
10 [10] | 620 | 168 | Path planning techniques for unmanned aerial vehicles: A review, solutions, and challenges | 2020 | 155 | Comput. Commun. | N |
Cluster | Size | Keywords (Occurrences) |
---|---|---|
a | 24 | trajectory optimization (514); resource management (133); energy consumption (123); systems (116); wireless communication (116); search (102); tracking (81); traveling salesman problem (62); route planning (59); coverage path planning (57); maximization (57); flight (49); NOMA (48); 5G (46); energy efficiency (39); physical layer security (39); avoidance (38); framework (36); UAV communications (34); security (34); batteries (30); safety (30); simulation (28);quality of service (25); efficient (25); transmission (25) |
b | 24 | optimization (664); algorithm (334); genetic algorithm (110); system (110); particle swarm optimization (103); model (99); coverage (96); vehicles (65); differential evolution (65); algorithms (60); energy (59); altitude (57); vehicle dynamics (50); vehicle (48); generation (48); surveillance (45); robots (38); network (38); strategy (32); ant colony optimization (31); inspection (30); area coverage (27); costs (25); multi-objective optimization (25) |
c | 23 | communication (277); networks (237); internet (138); internet of things (111); data collection (105); deep reinforcement learning (105); wireless sensor network (96); three-dimensional displays (74); throughput (71); sensors (68); performance (53); relays (49); throughput maximization (47); internet of things (IoT) (47); information (45); IoT (40); interference (36); jamming (30); sky (30); time (30); base stations (28); things (26); array signal processing (25) |
d | 17 | navigation (139); obstacle avoidance (119); collision avoidance (89); deployment (65); motion and path planning (49); radar (46); localization (45); optimal control (36); robust (35); guidance (30); task assignment (29); exploration (27); model predictive control (27); approximation algorithms (27); motion (26); task allocation (25); mission planning (25) |
e | 14 | design (408); allocation (111); trajectory design (97); power allocation (65); placement (59); challenges (56); data-collection (49); target tracking (47); power (45); wireless networks (38); deep learning (34); swarm (33); management (31); wireless (25) |
f | 14 | task analysis (181); resource-allocation (175); heuristic algorithms (86); resource allocation (77); capacity (65); mobile edge computing (60); minimization (52); data models (43); servers (39); reconfigurable intelligent surface (37); edge (33); edge computing (30); assignment (28); task offloading (25) |
Period | Keywords |
---|---|
2020–2021 | obstacle avoidance; navigation; avoidance; guidance; mission planning; motion; tracking; optimal control; performance; localization; tracking |
2021–2022 | optimization; system; genetic algorithm; coverage; coverage path planning; collision; vehicles; collision-avoidance; trajectory generation; multi-objective optimization; differential evolution; model predictive control; surveillance; robots; exploration; area coverage; generation; simulation |
2022–2023 | particle swarm optimization; swarm; information; UAV communication; placement; interference; trajectory; throughput; 5G; security; robust; batteries; physical layer security; management; relays; energy; networks; wireless; wireless communication; power; deployment |
2023–2024 | deep learning; reinforcement learning; mobile edge computing (MEC); costs; data-collection; IoT; NOMA; servers; safety; transmission; energy-efficient; energy consumption; task offloading; things; inspection; resource-allocation; internet |
R | References | Technique | Problem/Methodology Characteristics | Application |
---|---|---|---|---|
1 | [62] 2023 | MARL + CTDE | MARL approach is scalable and real-time; Centralized training and decentralized execution (CTDE); Negative and positive reinforcement is employed in the reward function. | UAV cluster collaboration missions |
2 | [219] 2024 | BACOHBA + HBAFOA | Three-dimensional inspection environment model; Multi-indicator hybrid cost function; Has better performance in terms of fast-solving ability, solution accuracy and optimization stability. | Inspection of transmission lines |
3 | [176] 2024 | UAV-DPPA-DWA | Dynamic-based path; Algorithm combined with dynamic window approach; The novel elliptic tangent graph algorithm based on the evaluation of offset degree and obstacle distance; Various types of complex dynamic obstacle avoidance scenarios. | Obstacle avoidance |
4 | [220] 2022 | DETACH + STEER | Large drone tasks are divided into smaller ones; Considering the maximum waypoint coverage; Offline path-planning algorithms detect possible in-flight collisions; DETACH and STEER perform vector intersection checks for flight path analysis. | Obstacle avoidance |
5 | [221] 2023 | HGWODE | GWO and DE algorithms cooperate to balance exploitation and exploration; The position-updated equation of GWO to boost exploitation; A rank-based mutation strategy is implemented in DE algorithm to promote exploitation capacity. | Algorithmic improvements |
6 | [222] 2023 | HISOS-SCPSO | Employing chaotic logistic mapping; Difference strategy; Novel attenuation functions; The population regeneration strategy; Cubic B-spline curve. | Algorithmic improvements |
7 | [223] 2023 | VPF-RRT* + DRNN-PI | Traditional planned paths are not smooth, the distance is long, and the fault tolerance rate of the planned path is low; Environmental disturbance and maintaining track along the planning path. | Navigation to reduce environmental interference |
8 | [224] 2023 | BA + CNN + BOFBA | Cooperation of obstacle avoidance and target tracking; All perception information, including avoidance and tracking, was fused during the UAV motion decision phase; The Hawk-eye algorithm with LOS tracking rules. | Algorithmic improvements |
9 | [194] 2023 | MILP + B&P + BLA + TS | Two-echelon network; A mixed integer linear programming model; Several constraints such as customers’ delivery deadlines and drones’ energy capacity; The exact labeling algorithm is utilized. | The two-level vehicle path problem |
10 | [134] 2023 | DPC + LiDAR | Covering the creation of digital twins; Laser scanners as light emitters; Point clouds are aligned using georeferenced points measured with a total station; Dense point clouds from a laser scanner are used to generate meshes. | Identify architectural and archaeological heritage |
11 | [225] 2024 | DLS + USS + IUS + AIS | The industrial source complex (ISC3) model; Determining sampling points (SPs) to collect data; Building the shortest path to visit chimneys; Visiting downwind (DW) SPs first and then flying down to pass upwind (UW) SPs. | Recognize chimneys with excessive exhaust emissions |
12 | [135] 2022 | SfM + MVS | Based on the combination of SfM-MVS and UAV-generated images; Utilizing image acquisition technologies and 3D model-building software. | 3D reconstruction |
13 | [226] 2022 | SA + ABC | Given battery capacity constraints; Using a ship (such as a patrol ship) as a UAV mobile supply base; Overcoming battery limitations and increasing monitoring coverage; Solving joint routing and scheduling problems of ship-deployed multiple UAVs (SDMUs). | Vessel air pollution detection |
14 | [193] 2023 | GA | Heterogeneous UAVs applied to solving the issues of coverage; Multi heterogenic UAVs coverage path planning with moving ground platform (mhCPPmp); Allowing solving the task of covering fields of different shapes; Lower flight costs. | Precision agriculture |
15 | [227] 2023 | DTU + TSI + RE | NP-hard problem; Integrated truck-UAV collaborative scheduling model; The time for making decisions is tight; Frequently threatened by the disruption of road networks and infrastructures. | Urban emergency response |
16 | [228] 2023 | Dijkstra + SURF + RANSAC | Based on the needs of continuous road image capture and pavement disease recognition; Automatic route planning and control; Continuous photography control; Image stitching and smoothing tasks. | Road damage detection |
17 | [229] 2023 | FTA + BN | Hybrid risk identification model; Fault tree structure of UAV-related public safety accidents; Given initial risk factors; The fault tree is converted into a BN; Diagnostic inference and sensitivity analysis are applied to identify key risk factors. | Risk identification |
18 | [230] 2023 | SICq + RPA | Forming a communication relay chain between the target and the base station as fast as possible; Balancing detection and connection requirements; Utilizing joint optimization for the search drones and decoupled optimization for the relay drones. | Search and rescue missions |
19 | [231] 2023 | APF-IRRT* | High computational efficiency; Adapted with adaptive step size; Adaptive search range; Giving the target directivity of the extended nodes. | Search and rescue missions |
20 | [232] 2023 | RL | Limited amount of power at their disposal; UAV-based autonomous mine detection framework; Based on deep learning and then constructing the coverage route plan for the aerial survey; Multiple coverage path patterns are used to identify the ideal UAV route. | Intelligent landmine detection |
21 | [140] 2024 | MEC + SA + AGSP | Supporting cloud-like computing capabilities at the edge of the network; Offering low-latency services; Integrated cloud edge network with multiple mobile users (MUs) and layered drones; Static and dynamic applications supporting task offloading. | Cost-efficient task offloading |
22 | [233] 2022 | SCA + BCD | Extremely high sensing resolution, large coverage area; No additional spectrum required; Minimizing propulsion energy and guaranteeing the required sensing resolutions on a series of interesting landmarks; Better energy efficiency. | Communication-assisted radar sensing |
23 | [234] 2023 | DMSPSO + CLPSO | Cooperative path planning model; Given communication constraints and the impact of obstacles in the flight environment on the quality of communication. | Path planning with communication constraints |
24 | [235] 2024 | PPO | Balancing mission objectives with the imperative to minimize radar exposure; Reducing the cognitive burden of air traffic controllers; Action-shaping mechanism; Operational viability in congested radar environments. | Realizing minimized radar observability |
25 | [236] 2022 | DRL + QiER | Associated with the associated quantum bit (qubit); Minimization problem on the weighted sum of time cost and expected outage duration; UAV’s adjustable mobility; Applying Grover iteration-based amplitude amplification technique. | Cellular-connected UAV network |
26 | [237] 2022 | COS + AB-3DULA | Antenna array; Three-dimensional (3D) uniform linear array (ULA); Nonlinear EH model; Efficiency maximization problem; Complicated 3D ULA antenna pattern; Different beamforming preferences. | UAV-enabled wireless power transfer |
27 | [238] 2023 | DRL + SAC | Multi-UAVs as mobile aerial ISAC platforms; Joint user association, UAV trajectory planning, and power allocation problem; Equivalent transformation of the optimization objective based on the symmetric group; Random and adaptive data augmentation schemes. | Resource allocation in UAV network |
28 | [239] 2022 | MILP + HGSA + UO-MinMin + MC-SA | Joint-optimization framework; GA employs a novel stochastic crossover operator to search for the optimal global position of customers; SA utilizes local search operators to avoid the local optima. | Routing and scheduling optimization |
29 | [240] 2023 | Voronoi diagram + A* + DBSCAN | Constructing a city airspace grid model in which the characteristics of the airspace are mapped onto the grid map; Obstacle clustering algorithm; Based on DBSCAN to generate representative obstacle points as the Voronoi seed nodes. | Drone public route network planning |
30 | [241] 2022 | Saturated FM2 + VCG | UTM models; Resolving path conflicts from different perspectives; Sequential delay (SD) model; Sequential delay/reroute (SDR) model; Full optimization (FO) model; Batch optimization (BO) model. | Traffic management and resource allocation in low-altitude logistics |
31 | [242] 2023 | NLO | Centralized supply chain network optimization model; Maximizes the total profit; Including realistic features such as low battery capacities and short delivery ranges; The constrained nonlinear optimization problem is formulated as a variational inequality. | Last mile package delivery |
32 | [243] 2022 | MILP + SA + VNS | A mixed integer linear programming model; Assignment of each customer location to a vehicle; Routing of truck and UAVs; Scheduling drone LARO and truck operator activities at each stop. | Last mile package delivery |
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Wu, Q.; Su, Y.; Tan, W.; Zhan, R.; Liu, J.; Jiang, L. UAV Path Planning Trends from 2000 to 2024: A Bibliometric Analysis and Visualization. Drones 2025, 9, 128. https://doi.org/10.3390/drones9020128
Wu Q, Su Y, Tan W, Zhan R, Liu J, Jiang L. UAV Path Planning Trends from 2000 to 2024: A Bibliometric Analysis and Visualization. Drones. 2025; 9(2):128. https://doi.org/10.3390/drones9020128
Chicago/Turabian StyleWu, Qiwu, Yunchen Su, Weicong Tan, Renjun Zhan, Jiaqi Liu, and Lingzhi Jiang. 2025. "UAV Path Planning Trends from 2000 to 2024: A Bibliometric Analysis and Visualization" Drones 9, no. 2: 128. https://doi.org/10.3390/drones9020128
APA StyleWu, Q., Su, Y., Tan, W., Zhan, R., Liu, J., & Jiang, L. (2025). UAV Path Planning Trends from 2000 to 2024: A Bibliometric Analysis and Visualization. Drones, 9(2), 128. https://doi.org/10.3390/drones9020128