{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T12:33:23Z","timestamp":1774528403322,"version":"3.50.1"},"reference-count":46,"publisher":"Tech Science Press","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["CMC"],"published-print":{"date-parts":[[2025]]},"DOI":"10.32604\/cmc.2025.068781","type":"journal-article","created":{"date-parts":[[2025,8,25]],"date-time":"2025-08-25T08:44:43Z","timestamp":1756111483000},"page":"3621-3652","source":"Crossref","is-referenced-by-count":2,"title":["Dung Beetle Optimization Algorithm Based on Bounded Reflection Optimization and Multi-Strategy Fusion for Multi-UAV Trajectory Planning"],"prefix":"10.32604","volume":"85","author":[{"given":"Weicong","family":"Tan","sequence":"first","affiliation":[]},{"given":"Qiwu","family":"Wu","sequence":"additional","affiliation":[]},{"given":"Lingzhi","family":"Jiang","sequence":"additional","affiliation":[]},{"given":"Tao","family":"Tong","sequence":"additional","affiliation":[]},{"given":"Yunchen","family":"Su","sequence":"additional","affiliation":[]}],"member":"17807","published-online":{"date-parts":[[2025]]},"reference":[{"key":"ref1","first-page":"5575","article-title":"A UAV path-planning approach for urban environmental event monitoring","volume":"83","author":"Cao","year":"2025","journal-title":"Comput Mater Contin"},{"key":"ref2","doi-asserted-by":"crossref","first-page":"3754","DOI":"10.3390\/s19173754","article-title":"Cooperative unmanned aerial system reconnaissance in a complex urban environment and uneven terrain","volume":"19","author":"Stodola","year":"2019","journal-title":"Sensors"},{"key":"ref3","doi-asserted-by":"crossref","first-page":"261","DOI":"10.3390\/drones7040261","article-title":"Multi-UAV collaborative absolute vision positioning and navigation: a survey and discussion","volume":"7","author":"Tong","year":"2023","journal-title":"Drones"},{"key":"ref4","doi-asserted-by":"crossref","first-page":"1272","DOI":"10.3390\/pr12061272","article-title":"A review of collaborative trajectory planning for multiple unmanned aerial vehicles","volume":"12","author":"Wang","year":"2024","journal-title":"Processes"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/j.apm.2015.04.054","article-title":"Novel robust fuzzy mathematical programming methods","volume":"40","author":"Pishvaee","year":"2016","journal-title":"Appl Math Model"},{"key":"ref6","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1287\/mnsc.37.9.1147","article-title":"Soviet multi-objective mathematical programming methods: an overview","volume":"37","author":"Lieberman","year":"1991","journal-title":"Manag Sci"},{"key":"ref7","doi-asserted-by":"crossref","first-page":"102995","DOI":"10.1016\/j.apor.2021.102995","article-title":"Dynamic anti-collision A-star algorithm for multi-ship encounter situations","volume":"118","author":"He","year":"2022","journal-title":"Appl Ocean Res"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"3010","DOI":"10.1109\/JSEN.2012.2207950","article-title":"Lifetime enhancement in wireless sensor networks using fuzzy approach and A-star algorithm","volume":"12","author":"AlShawi","year":"2012","journal-title":"IEEE Sens J"},{"key":"ref9","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.eswa.2019.01.032","article-title":"Quick-RRT*: triangular inequality-based implementation of RRT* with improved initial solution and convergence rate","volume":"123","author":"Jeong","year":"2019","journal-title":"Expert Syst Appl"},{"key":"ref10","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1109\/TRO.2016.2539377","article-title":"Asymptotically near-optimal RRT for fast, high-quality motion planning","volume":"32","author":"Salzman","year":"2016","journal-title":"IEEE Trans Robot"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1515\/fca-2021-0019","article-title":"Contributions on artificial potential field method for effective obstacle avoidance","volume":"24","author":"Duh\u00e9","year":"2021","journal-title":"Fract Calc Appl Anal"},{"key":"ref12","doi-asserted-by":"crossref","first-page":"e12360","DOI":"10.1111\/exsy.12360","article-title":"Path planning of humanoids based on artificial potential field method in unknown environments","volume":"36","author":"Kumar","year":"2019","journal-title":"Expert Syst"},{"key":"ref13","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.advengsoft.2013.12.007","article-title":"Grey wolf optimizer","volume":"69","author":"Mirjalili","year":"2014","journal-title":"Adv Eng Softw"},{"key":"ref14","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1016\/j.advengsoft.2017.01.004","article-title":"Grasshopper optimisation algorithm: theory and application","volume":"105","author":"Saremi","year":"2017","journal-title":"Adv Eng Softw"},{"key":"ref15","doi-asserted-by":"crossref","first-page":"107866","DOI":"10.1016\/j.asoc.2021.107866","article-title":"SHADE-WOA: a metaheuristic algorithm for global optimization","volume":"113","author":"Chakraborty","year":"2021","journal-title":"Appl Soft Comput"},{"key":"ref16","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1007\/978-3-319-93025-1_4","author":"Mirjalili","year":"2019","journal-title":"Evolutionary algorithms and neural networks: theory and applications"},{"key":"ref17","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1007\/s11721-007-0002-0","article-title":"Particle swarm optimization","volume":"1","author":"Poli","year":"2007","journal-title":"Swarm Intell"},{"key":"ref18","doi-asserted-by":"crossref","first-page":"8091","DOI":"10.1007\/s11042-020-10139-6","article-title":"A review on genetic algorithm: past, present, and future","volume":"80","author":"Katoch","year":"2021","journal-title":"Multimed Tools Appl"},{"key":"ref19","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1016\/j.isatra.2019.08.018","article-title":"Efficient path planning for UAV formation via comprehensively improved particle swarm optimization","volume":"97","author":"Shao","year":"2020","journal-title":"ISA Trans"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"7305","DOI":"10.1007\/s11227-022-04959-6","article-title":"Dung beetle optimizer: a new meta-heuristic algorithm for global optimization","volume":"79","author":"Xue","year":"2023","journal-title":"J Supercomput"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"26537","DOI":"10.1007\/s11227-024-06414-0","article-title":"An improved dung beetle optimizer for UAV 3D path planning","volume":"80","author":"Chen","year":"2024","journal-title":"J Supercomput"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"291","DOI":"10.3390\/biomimetics9050291","article-title":"Multi-strategy improved dung beetle optimization algorithm and its applications","volume":"9","author":"Ye","year":"2024","journal-title":"Biomimetics"},{"key":"ref23","doi-asserted-by":"crossref","first-page":"121219","DOI":"10.1016\/j.eswa.2023.121219","article-title":"Dung beetle optimization algorithm based on quantum computing and multi-strategy fusi on for solving engineering problems","volume":"236","author":"Zhu","year":"2024","journal-title":"Expert Syst Appl"},{"key":"ref24","doi-asserted-by":"crossref","first-page":"1734","DOI":"10.3390\/s24061734","article-title":"Predictions of aeroengines\u2019 infrared radiation characteristics based on HKELM optimized by the improved dung beetle optimizer","volume":"24","author":"Qiao","year":"2024","journal-title":"Sensors"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"4655","DOI":"10.1038\/s41598-025-88347-z","article-title":"An enhanced dung beetle optimizer with multiple strategies for robot path planning","volume":"15","author":"Hu","year":"2025","journal-title":"Sci Rep"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"4598","DOI":"10.3390\/electronics13234598","article-title":"GLBWOA: a global-local balanced whale optimization algorithm for UAV path planning","volume":"13","author":"Wu","year":"2024","journal-title":"Electronics"},{"key":"ref27","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1016\/j.asoc.2019.01.036","article-title":"Mobile robot path planning using membrane evolutionary artificial potential field","volume":"77","author":"Orozco-Rosas","year":"2019","journal-title":"Appl Soft Comput"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"20445","DOI":"10.1038\/s41598-024-71485-1","article-title":"An improve crested porcupine algorithm for UAV delivery path planning in challenging environments","volume":"14","author":"Liu","year":"2024","journal-title":"Sci Rep"},{"key":"ref29","doi-asserted-by":"crossref","first-page":"551","DOI":"10.2514\/1.37030","article-title":"Three-dimensional trajectory optimization satisfying waypoint and no-fly zone constraints","volume":"32","author":"Jorris","year":"2009","journal-title":"J Guid Control Dyn"},{"key":"ref30","doi-asserted-by":"crossref","first-page":"423","DOI":"10.1109\/TCST.2010.2045501","article-title":"Cooperative distributed robust trajectory optimization using receding horizon MILP","volume":"19","author":"Kuwata","year":"2010","journal-title":"IEEE Trans Control Syst Technol"},{"key":"ref31","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.knosys.2018.05.002","article-title":"A scattering and repulsive swarm intelligence algorithm for solving global optimization problems","volume":"156","author":"Pandit","year":"2018","journal-title":"Knowl Based Syst"},{"key":"ref32","doi-asserted-by":"crossref","first-page":"715","DOI":"10.1007\/s00500-018-3102-4","article-title":"Butterfly optimization algorithm: a novel approach for global optimization","volume":"23","author":"Arora","year":"2019","journal-title":"Soft Comput"},{"key":"ref33","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1108\/IJICC-02-2014-0005","article-title":"Pigeon-inspired optimization: a new swarm intelligence optimizer for air robot path planning","volume":"7","author":"Duan","year":"2014","journal-title":"Int J Intell Comput Cybern"},{"key":"ref34","doi-asserted-by":"crossref","first-page":"109215","DOI":"10.1016\/j.knosys.2022.109215","article-title":"Beluga whale optimization: a novel nature-inspired metaheuristic algorithm","volume":"251","author":"Zhong","year":"2022","journal-title":"Knowl Based Syst"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"1919","DOI":"10.1007\/s10462-023-10567-4","article-title":"Crayfish optimization algorithm","volume":"56","author":"Jia","year":"2023","journal-title":"Artif Intell Rev"},{"key":"ref36","doi-asserted-by":"crossref","first-page":"119209","DOI":"10.1016\/j.apenergy.2022.119209","article-title":"On Wilcoxon rank sum test for condition monitoring and fault detection of wind turbines","volume":"318","author":"Dao","year":"2022","journal-title":"Appl Energy"},{"key":"ref37","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1080\/02331888.2014.913049","article-title":"The power of the modified Wilcoxon rank-sum test for the one-sided alternative","volume":"49","author":"Murakami","year":"2015","journal-title":"Statistics"},{"key":"ref38","doi-asserted-by":"crossref","first-page":"015280","DOI":"10.1088\/2631-8695\/adb4bf","article-title":"EIDBO-TrICP: a coarse-to-fine algorithm for cross-source point cloud registration in aero-engine blades","volume":"7","author":"Chang","year":"2025","journal-title":"Eng Res Express"},{"key":"ref39","doi-asserted-by":"crossref","first-page":"98805","DOI":"10.1109\/ACCESS.2023.3313930","article-title":"A multi-strategy dung beetle optimization algorithm for optimizing constrained engineering problems","volume":"11","author":"Wang","year":"2023","journal-title":"IEEE Access"},{"key":"ref40","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1016\/S0010-4485(03)00100-3","article-title":"Exact and approximate computation of B-spline curves on surfaces","volume":"36","author":"Renner","year":"2004","journal-title":"Comput Aided Des"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"104655","DOI":"10.1016\/j.robot.2024.104655","article-title":"A new approach to smooth path planning of Ackerman mobile robot based on improved ACO algorithm and B-spline curve","volume":"175","author":"Huo","year":"2024","journal-title":"Robot Auton Syst"},{"key":"ref42","doi-asserted-by":"crossref","first-page":"107376","DOI":"10.1016\/j.asoc.2021.107376","article-title":"Safety-enhanced UAV path planning with spherical vector-based particle swarm optimization","volume":"107","author":"Phung","year":"2021","journal-title":"Appl Soft Comput"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"2340","DOI":"10.3390\/math11102340","article-title":"Chaotic sand cat swarm optimization","volume":"11","author":"Kiani","year":"2023","journal-title":"Mathematics"},{"key":"ref44","doi-asserted-by":"crossref","first-page":"5235","DOI":"10.1007\/s10586-023-04221-5","article-title":"Puma optimizer (PO): a novel metaheuristic optimization algorithm and its application in machine learning","volume":"27","author":"Abdollahzadeh","year":"2024","journal-title":"Cluster Comput"},{"key":"ref45","doi-asserted-by":"crossref","first-page":"2669","DOI":"10.1007\/s11831-024-10217-0","article-title":"Advances in sand cat swarm optimization: a comprehensive study","volume":"32","author":"Anka","year":"2025","journal-title":"Arch Comput Meth Eng"},{"key":"ref46","doi-asserted-by":"crossref","first-page":"113654","DOI":"10.1016\/j.asoc.2025.113654","article-title":"An adaptive strategy quantum particle swarm optimization method based on intuitionistic fuzzy entropy and evolutionary game theory","volume":"183","author":"Zhou","year":"2025","journal-title":"Appl Soft Comput"}],"container-title":["Computers, Materials & Continua"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/cdn.techscience.cn\/files\/cmc\/2025\/TSP_CMC-85-2\/TSP_CMC_68781\/TSP_CMC_68781.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T05:35:45Z","timestamp":1764826545000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.techscience.com\/cmc\/v85n2\/63846"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025]]},"references-count":46,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2025]]},"published-print":{"date-parts":[[2025]]}},"URL":"https:\/\/doi.org\/10.32604\/cmc.2025.068781","relation":{},"ISSN":["1546-2226"],"issn-type":[{"value":"1546-2226","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025]]}}}