{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T03:38:12Z","timestamp":1775187492846,"version":"3.50.1"},"reference-count":54,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T00:00:00Z","timestamp":1741824000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T00:00:00Z","timestamp":1741824000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["42075129"],"award-info":[{"award-number":["42075129"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Supercomput"],"DOI":"10.1007\/s11227-025-07106-z","type":"journal-article","created":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T03:52:51Z","timestamp":1741837971000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Multi-Strategy Golden Jackal Optimization for engineering design"],"prefix":"10.1007","volume":"81","author":[{"given":"Wenbiao","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tingfeng","family":"Lai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuhui","family":"Fang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,3,13]]},"reference":[{"key":"7106_CR1","doi-asserted-by":"publisher","first-page":"113917","DOI":"10.1016\/j.eswa.2020.113917","volume":"166","author":"MH Nadimi-Shahraki","year":"2021","unstructured":"Nadimi-Shahraki MH, Taghian S, Mirjalili S (2021) An improved grey wolf optimizer for solving engineering problems. Expert Syst Appl 166:113917. https:\/\/doi.org\/10.1016\/j.eswa.2020.113917","journal-title":"Expert Syst Appl"},{"key":"7106_CR2","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1111\/itor.12001","volume":"22","author":"K S\u00f6rensen","year":"2015","unstructured":"S\u00f6rensen K (2015) Metaheuristics-the metaphor exposed. Int Trans Oper Res 22:3\u201318. https:\/\/doi.org\/10.1111\/itor.12001","journal-title":"Int Trans Oper Res"},{"key":"7106_CR3","doi-asserted-by":"publisher","first-page":"1627","DOI":"10.1109\/JAS.2021.1004129","volume":"8","author":"J Tang","year":"2021","unstructured":"Tang J, Liu G, Pan Q (2021) A review on representative swarm intelligence algorithms for solving optimization problems: applications and trends. IEEE\/CAA J Autom Sin 8:1627\u20131643. https:\/\/doi.org\/10.1109\/JAS.2021.1004129","journal-title":"IEEE\/CAA J Autom Sin"},{"key":"7106_CR4","doi-asserted-by":"crossref","unstructured":"Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN\u201995 - International Conference on Neural Networks. IEEE, pp 1942\u20131948","DOI":"10.1109\/ICNN.1995.488968"},{"key":"7106_CR5","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1016\/j.asoc.2007.05.007","volume":"8","author":"D Karaboga","year":"2008","unstructured":"Karaboga D, Basturk B (2008) On the performance of artificial bee colony (ABC) algorithm. Appl Soft Comput 8:687\u2013697. https:\/\/doi.org\/10.1016\/j.asoc.2007.05.007","journal-title":"Appl Soft Comput"},{"key":"7106_CR6","doi-asserted-by":"publisher","first-page":"228","DOI":"10.1016\/j.knosys.2015.07.006","volume":"89","author":"S Mirjalili","year":"2015","unstructured":"Mirjalili S (2015) Moth-flame optimization algorithm: a novel nature-inspired heuristic paradigm. Knowl Based Syst 89:228\u2013249. https:\/\/doi.org\/10.1016\/j.knosys.2015.07.006","journal-title":"Knowl Based Syst"},{"key":"7106_CR7","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/j.advengsoft.2016.01.008","volume":"95","author":"S Mirjalili","year":"2016","unstructured":"Mirjalili S, Lewis A (2016) The whale optimization algorithm. Adv Eng Softw 95:51\u201367. https:\/\/doi.org\/10.1016\/j.advengsoft.2016.01.008","journal-title":"Adv Eng Softw"},{"key":"7106_CR8","doi-asserted-by":"publisher","first-page":"148","DOI":"10.1016\/j.engappai.2019.03.021","volume":"82","author":"G Dhiman","year":"2019","unstructured":"Dhiman G, Kaur A (2019) STOA: a bio-inspired based optimization algorithm for industrial engineering problems. Eng Appl Artif Intell 82:148\u2013174. https:\/\/doi.org\/10.1016\/j.engappai.2019.03.021","journal-title":"Eng Appl Artif Intell"},{"key":"7106_CR9","doi-asserted-by":"publisher","first-page":"169","DOI":"10.1016\/j.knosys.2018.11.024","volume":"165","author":"G Dhiman","year":"2019","unstructured":"Dhiman G, Kumar V (2019) Seagull optimization algorithm: theory and its applications for large-scale industrial engineering problems. Knowl Based Syst 165:169\u2013196. https:\/\/doi.org\/10.1016\/j.knosys.2018.11.024","journal-title":"Knowl Based Syst"},{"key":"7106_CR10","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.knosys.2015.12.022","volume":"96","author":"S Mirjalili","year":"2016","unstructured":"Mirjalili S (2016) SCA: a sine cosine algorithm for solving optimization problems. Knowl Based Syst 96:120\u2013133. https:\/\/doi.org\/10.1016\/j.knosys.2015.12.022","journal-title":"Knowl Based Syst"},{"key":"7106_CR11","doi-asserted-by":"publisher","first-page":"84","DOI":"10.1016\/j.matcom.2021.08.013","volume":"192","author":"FA Hashim","year":"2022","unstructured":"Hashim FA, Houssein EH, Hussain K et al (2022) Honey Badger algorithm: new metaheuristic algorithm for solving optimization problems. Math Comput Simul 192:84\u2013110. https:\/\/doi.org\/10.1016\/j.matcom.2021.08.013","journal-title":"Math Comput Simul"},{"issue":"21","key":"7106_CR12","doi-asserted-by":"publisher","first-page":"29977","DOI":"10.1007\/S11042-022-12562-3","volume":"81","author":"Y Ye","year":"2022","unstructured":"Ye Y, Xiong S, Dong C, Chen Z (2022) The structural weight design method based on the modified grasshopper optimization algorithm. Multimed Tools Appl 81(21):29977\u201330005. https:\/\/doi.org\/10.1007\/S11042-022-12562-3","journal-title":"Multimed Tools Appl"},{"key":"7106_CR13","doi-asserted-by":"publisher","first-page":"107694","DOI":"10.1016\/J.COMPAG.2023.107694","volume":"206","author":"Y Ye","year":"2023","unstructured":"Ye Y et al (2023) Field detection of small pests through stochastic gradient descent with genetic algorithm. Comput Electron Agric 206:107694. https:\/\/doi.org\/10.1016\/J.COMPAG.2023.107694","journal-title":"Comput Electron Agric"},{"key":"7106_CR14","doi-asserted-by":"publisher","first-page":"108936","DOI":"10.1016\/J.COMPAG.2024.108936","volume":"221","author":"Y Ye","year":"2024","unstructured":"Ye Y et al (2024) Field detection of pests based on adaptive feature fusion and evolutionary neural architecture search. Comput Electron Agric 221:108936. https:\/\/doi.org\/10.1016\/J.COMPAG.2024.108936","journal-title":"Comput Electron Agric"},{"key":"7106_CR15","doi-asserted-by":"publisher","first-page":"106075","DOI":"10.1016\/j.compbiomed.2022.106075","volume":"149","author":"EH Houssein","year":"2022","unstructured":"Houssein EH, Abdelkareem DA, Emam MM et al (2022) An efficient image segmentation method for skin cancer imaging using improved golden jackal optimization algorithm. Comput Biol Med 149:106075. https:\/\/doi.org\/10.1016\/j.compbiomed.2022.106075","journal-title":"Comput Biol Med"},{"key":"7106_CR16","doi-asserted-by":"publisher","first-page":"9709","DOI":"10.3390\/app12199709","volume":"12","author":"P Yuan","year":"2022","unstructured":"Yuan P, Zhang T, Yao L et al (2022) A hybrid golden jackal optimization and golden sine algorithm with dynamic lens-imaging learning for global optimization problems. Appl Sci 12:9709. https:\/\/doi.org\/10.3390\/app12199709","journal-title":"Appl Sci"},{"key":"7106_CR17","doi-asserted-by":"publisher","first-page":"1946","DOI":"10.3390\/sym14091946","volume":"14","author":"S Nanda Kumar","year":"2022","unstructured":"Nanda Kumar S, Mohanty NK (2022) Modified golden jackal optimization assisted adaptive fuzzy PIDF controller for virtual inertia control of micro grid with renewable energy. Symmetry (Basel) 14:1946. https:\/\/doi.org\/10.3390\/sym14091946","journal-title":"Symmetry (Basel)"},{"key":"7106_CR18","doi-asserted-by":"publisher","first-page":"122054","DOI":"10.1016\/j.apenergy.2023.122054","volume":"353","author":"MA Elseify","year":"2024","unstructured":"Elseify MA, Hashim FA, Hussien AG, Kamel S (2024) Single and multi-objectives based on an improved golden jackal optimization algorithm for simultaneous integration of multiple capacitors and multi-type DGs in distribution systems. Appl Energy 353:122054. https:\/\/doi.org\/10.1016\/j.apenergy.2023.122054","journal-title":"Appl Energy"},{"key":"7106_CR19","doi-asserted-by":"publisher","first-page":"270","DOI":"10.3390\/biomimetics9050270","volume":"9","author":"S Jiang","year":"2024","unstructured":"Jiang S, Yue Y, Chen C et al (2024) A multi-objective optimization problem solving method based on improved golden jackal optimization algorithm and its application. Biomimetics 9:270. https:\/\/doi.org\/10.3390\/biomimetics9050270","journal-title":"Biomimetics"},{"key":"7106_CR20","doi-asserted-by":"publisher","first-page":"415","DOI":"10.1016\/j.aej.2023.11.078","volume":"86","author":"NO Aljehane","year":"2024","unstructured":"Aljehane NO, Mengash HA, Eltahir MM et al (2024) Golden jackal optimization algorithm with deep learning assisted intrusion detection system for network security. Alex Eng J 86:415\u2013424. https:\/\/doi.org\/10.1016\/j.aej.2023.11.078","journal-title":"Alex Eng J"},{"key":"7106_CR21","doi-asserted-by":"publisher","first-page":"2756","DOI":"10.1038\/s41598-024-52670-8","volume":"14","author":"CS Sundar Ganesh","year":"2024","unstructured":"Sundar Ganesh CS, Kumar C, Premkumar M, Derebew B (2024) Enhancing photovoltaic parameter estimation: integration of non-linear hunting and reinforcement learning strategies with golden jackal optimizer. Sci Rep 14:2756. https:\/\/doi.org\/10.1038\/s41598-024-52670-8","journal-title":"Sci Rep"},{"key":"7106_CR22","doi-asserted-by":"publisher","first-page":"121582","DOI":"10.1016\/j.eswa.2023.121582","volume":"238","author":"H Askr","year":"2024","unstructured":"Askr H, Abdel-Salam M, Hassanien AE (2024) Copula entropy-based golden jackal optimization algorithm for high-dimensional feature selection problems. Expert Syst Appl 238:121582. https:\/\/doi.org\/10.1016\/j.eswa.2023.121582","journal-title":"Expert Syst Appl"},{"key":"7106_CR23","doi-asserted-by":"publisher","first-page":"103665","DOI":"10.1016\/j.advengsoft.2024.103665","volume":"194","author":"J Bai","year":"2024","unstructured":"Bai J, Khatir S, Abualigah L, Abdel Wahab M (2024) Ameliorated Golden jackal optimization (AGJO) with enhanced movement and multi-angle position updating strategy for solving engineering problems. Adv Eng Softw 194:103665. https:\/\/doi.org\/10.1016\/j.advengsoft.2024.103665","journal-title":"Adv Eng Softw"},{"key":"7106_CR24","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1109\/4235.585893","volume":"1","author":"DH Wolpert","year":"1997","unstructured":"Wolpert DH, Macready WG (1997) No free lunch theorems for optimization. IEEE Trans Evol Comput 1:67\u201382. https:\/\/doi.org\/10.1109\/4235.585893","journal-title":"IEEE Trans Evol Comput"},{"key":"7106_CR25","doi-asserted-by":"publisher","first-page":"4683","DOI":"10.1007\/s13369-014-1156-x","volume":"39","author":"S Mirjalili","year":"2014","unstructured":"Mirjalili S, Lewis A, Sadiq AS (2014) Autonomous particles groups for particle swarm optimization. Arab J Sci Eng 39:4683\u20134697. https:\/\/doi.org\/10.1007\/s13369-014-1156-x","journal-title":"Arab J Sci Eng"},{"key":"7106_CR26","doi-asserted-by":"publisher","first-page":"1359","DOI":"10.1007\/s00366-018-0668-5","volume":"35","author":"FA \u015eenel","year":"2019","unstructured":"\u015eenel FA, G\u00f6k\u00e7e F, Y\u00fcksel AS, Yi\u011fit T (2019) A novel hybrid PSO\u2013GWO algorithm for optimization problems. Eng Comput 35:1359\u20131373. https:\/\/doi.org\/10.1007\/s00366-018-0668-5","journal-title":"Eng Comput"},{"key":"7106_CR27","doi-asserted-by":"crossref","unstructured":"Sharma S, Kapoor R, Dhiman S (2021) A novel hybrid metaheuristic based on augmented Grey Wolf optimizer and Cuckoo search for global optimization. In: 2021 2nd International Conference on Secure Cyber Computing and Communications (ICSCCC). IEEE, pp 376\u2013381","DOI":"10.1109\/ICSCCC51823.2021.9478142"},{"key":"7106_CR28","doi-asserted-by":"publisher","first-page":"10429","DOI":"10.1007\/s00500-018-3598-7","volume":"23","author":"SG Meshram","year":"2019","unstructured":"Meshram SG, Ghorbani MA, Shamshirband S et al (2019) River flow prediction using hybrid PSOGSA algorithm based on feed-forward neural network. Soft comput 23:10429\u201310438. https:\/\/doi.org\/10.1007\/s00500-018-3598-7","journal-title":"Soft comput"},{"key":"7106_CR29","doi-asserted-by":"publisher","first-page":"235","DOI":"10.3233\/FI-2017-1539","volume":"153","author":"H Joshi","year":"2017","unstructured":"Joshi H, Arora S (2017) Enhanced Grey Wolf optimization algorithm for global optimization. Fundam Inform 153:235\u2013264. https:\/\/doi.org\/10.3233\/FI-2017-1539","journal-title":"Fundam Inform"},{"key":"7106_CR30","doi-asserted-by":"publisher","first-page":"484","DOI":"10.1016\/j.eswa.2017.07.043","volume":"90","author":"M Abd Elaziz","year":"2017","unstructured":"Abd Elaziz M, Oliva D, Xiong S (2017) An improved opposition-based sine cosine algorithm for global optimization. Expert Syst Appl 90:484\u2013500. https:\/\/doi.org\/10.1016\/j.eswa.2017.07.043","journal-title":"Expert Syst Appl"},{"key":"7106_CR31","doi-asserted-by":"publisher","first-page":"11739","DOI":"10.1007\/s00521-021-05880-4","volume":"33","author":"HA Shehadeh","year":"2021","unstructured":"Shehadeh HA (2021) A hybrid sperm swarm optimization and gravitational search algorithm (HSSOGSA) for global optimization. Neural Comput Appl 33:11739\u201311752. https:\/\/doi.org\/10.1007\/s00521-021-05880-4","journal-title":"Neural Comput Appl"},{"key":"7106_CR32","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1016\/j.asoc.2014.06.034","volume":"23","author":"H Hakl\u0131","year":"2014","unstructured":"Hakl\u0131 H, U\u011fuz H (2014) A novel particle swarm optimization algorithm with Levy flight. Appl Soft Comput 23:333\u2013345. https:\/\/doi.org\/10.1016\/j.asoc.2014.06.034","journal-title":"Appl Soft Comput"},{"key":"7106_CR33","doi-asserted-by":"publisher","first-page":"116924","DOI":"10.1016\/j.eswa.2022.116924","volume":"198","author":"N Chopra","year":"2022","unstructured":"Chopra N, Mohsin Ansari M (2022) Golden jackal optimization: a novel nature-inspired optimizer for engineering applications. Expert Syst Appl 198:116924. https:\/\/doi.org\/10.1016\/j.eswa.2022.116924","journal-title":"Expert Syst Appl"},{"key":"7106_CR34","doi-asserted-by":"publisher","first-page":"118339","DOI":"10.1016\/j.eswa.2022.118339","volume":"209","author":"G He","year":"2022","unstructured":"He G, Lu X (2022) Good point set and double attractors based-QPSO and application in portfolio with transaction fee and financing cost. Expert Syst Appl 209:118339. https:\/\/doi.org\/10.1016\/j.eswa.2022.118339","journal-title":"Expert Syst Appl"},{"key":"7106_CR35","doi-asserted-by":"crossref","unstructured":"Tizhoosh HR (2005) Opposition-based learning: a new scheme for machine intelligence. In: International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC\u201906). IEEE, pp 695\u2013701","DOI":"10.1109\/CIMCA.2005.1631345"},{"key":"7106_CR36","doi-asserted-by":"crossref","unstructured":"Rahnamayan S, Tizhoosh HR, Salama MMA (2007) Quasi-oppositional differential evolution. In: 2007 IEEE congress on evolutionary computation. IEEE, pp 2229\u20132236","DOI":"10.1109\/CEC.2007.4424748"},{"key":"7106_CR37","doi-asserted-by":"crossref","unstructured":"Wang H, Li H, Liu Y et al (2007) Opposition-based particle swarm algorithm with cauchy mutation. In: 2007 IEEE congress on evolutionary computation. IEEE, pp 4750\u20134756","DOI":"10.1109\/CEC.2007.4425095"},{"key":"7106_CR38","doi-asserted-by":"publisher","first-page":"1886","DOI":"10.1016\/j.camwa.2012.03.040","volume":"64","author":"N Dong","year":"2012","unstructured":"Dong N, Wu C-H, Ip W-H et al (2012) An opposition-based chaotic GA\/PSO hybrid algorithm and its application in circle detection. Comput Math Appl 64:1886\u20131902. https:\/\/doi.org\/10.1016\/j.camwa.2012.03.040","journal-title":"Comput Math Appl"},{"key":"7106_CR39","doi-asserted-by":"publisher","first-page":"8215","DOI":"10.3934\/MBE.2022383","volume":"19","author":"ZM Gao","year":"2022","unstructured":"Gao ZM, Zhao J, Zhang YJ (2022) Review of chaotic mapping enabled nature-inspired algorithms. Math Biosci Eng 19:8215\u20138258. https:\/\/doi.org\/10.3934\/MBE.2022383","journal-title":"Math Biosci Eng"},{"key":"7106_CR40","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424502055","author":"Y Zhang","year":"2024","unstructured":"Zhang Y, Lu J, Zhao C et al (2024) Chaos optimization algorithms: a survey. Int J Bifurc Chaos. https:\/\/doi.org\/10.1142\/S0218127424502055","journal-title":"Int J Bifurc Chaos"},{"key":"7106_CR41","doi-asserted-by":"publisher","first-page":"8","DOI":"10.4097\/kjae.2016.69.1.8","volume":"69","author":"FS Nahm","year":"2016","unstructured":"Nahm FS (2016) Nonparametric statistical tests for the continuous data: the basic concept and the practical use. Korean J Anesthesiol 69:8. https:\/\/doi.org\/10.4097\/kjae.2016.69.1.8","journal-title":"Korean J Anesthesiol"},{"key":"7106_CR42","doi-asserted-by":"crossref","unstructured":"Bujok P, Zamuda A (2019) Cooperative model of evolutionary algorithms applied to CEC 2019 single objective numerical optimization. In: 2019 IEEE congress on evolutionary computation (CEC). IEEE, pp 366\u2013371","DOI":"10.1109\/CEC.2019.8790317"},{"key":"7106_CR43","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1115\/1.2919393","volume":"116","author":"BK Kannan","year":"1994","unstructured":"Kannan BK, Kramer SN (1994) An augmented Lagrange multiplier based method for mixed integer discrete continuous optimization and its applications to mechanical design. J Mech Des 116:405\u2013411. https:\/\/doi.org\/10.1115\/1.2919393","journal-title":"J Mech Des"},{"key":"7106_CR44","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1080\/03081070701303470","volume":"37","author":"E Mezura-Montes","year":"2008","unstructured":"Mezura-Montes E, Coello CAC (2008) An empirical study about the usefulness of evolution strategies to solve constrained optimization problems. Int J Gen Syst 37:443\u2013473. https:\/\/doi.org\/10.1080\/03081070701303470","journal-title":"Int J Gen Syst"},{"key":"7106_CR45","unstructured":"Deb K GeneAS: a robust optimal design technique for mechanical component design"},{"key":"7106_CR46","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.engappai.2006.03.003","volume":"20","author":"Q He","year":"2007","unstructured":"He Q, Wang L (2007) An effective co-evolutionary particle swarm optimization for constrained engineering design problems. Eng Appl Artif Intell 20:89\u201399. https:\/\/doi.org\/10.1016\/j.engappai.2006.03.003","journal-title":"Eng Appl Artif Intell"},{"key":"7106_CR47","doi-asserted-by":"publisher","first-page":"3902","DOI":"10.1016\/j.cma.2004.09.007","volume":"194","author":"KS Lee","year":"2005","unstructured":"Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Methods Appl Mech Eng 194:3902\u20133933. https:\/\/doi.org\/10.1016\/j.cma.2004.09.007","journal-title":"Comput Methods Appl Mech Eng"},{"key":"7106_CR48","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1115\/1.2912596","volume":"112","author":"E Sandgren","year":"1990","unstructured":"Sandgren E (1990) Nonlinear integer and discrete programming in mechanical design optimization. J Mech Des 112:223\u2013229. https:\/\/doi.org\/10.1115\/1.2912596","journal-title":"J Mech Des"},{"key":"7106_CR49","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1108\/02644401011008577","volume":"27","author":"A Kaveh","year":"2010","unstructured":"Kaveh A, Talatahari S (2010) An improved ant colony optimization for constrained engineering design problems. Eng Comput (Swansea) 27:155\u2013182. https:\/\/doi.org\/10.1108\/02644401011008577","journal-title":"Eng Comput (Swansea)"},{"key":"7106_CR50","doi-asserted-by":"publisher","first-page":"104558","DOI":"10.1016\/j.engappai.2021.104558","volume":"108","author":"W Yang","year":"2022","unstructured":"Yang W, Xia K, Fan S et al (2022) A multi-strategy whale optimization algorithm and its application. Eng Appl Artif Intell 108:104558. https:\/\/doi.org\/10.1016\/j.engappai.2021.104558","journal-title":"Eng Appl Artif Intell"},{"key":"7106_CR51","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1007\/s00521-015-1870-7","volume":"27","author":"S Mirjalili","year":"2016","unstructured":"Mirjalili S, Mirjalili SM, Hatamlou A (2016) Multi-verse optimizer: a nature-inspired algorithm for global optimization. Neural Comput Appl 27:495\u2013513. https:\/\/doi.org\/10.1007\/s00521-015-1870-7","journal-title":"Neural Comput Appl"},{"key":"7106_CR52","doi-asserted-by":"publisher","first-page":"46","DOI":"10.1016\/j.advengsoft.2013.12.007","volume":"69","author":"S Mirjalili","year":"2014","unstructured":"Mirjalili S, Mirjalili SM, Lewis A (2014) Grey Wolf optimizer. Adv Eng Softw 69:46\u201361. https:\/\/doi.org\/10.1016\/j.advengsoft.2013.12.007","journal-title":"Adv Eng Softw"},{"key":"7106_CR53","doi-asserted-by":"publisher","first-page":"1245","DOI":"10.1016\/S0045-7825(01)00323-1","volume":"191","author":"CA Coello Coello","year":"2002","unstructured":"Coello Coello CA (2002) Theoretical and numerical constraint-handling techniques used with evolutionary algorithms: a survey of the state of the art. Comput Methods Appl Mech Eng 191:1245\u20131287. https:\/\/doi.org\/10.1016\/S0045-7825(01)00323-1","journal-title":"Comput Methods Appl Mech Eng"},{"key":"7106_CR54","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1115\/1.3438995","volume":"98","author":"KM Ragsdell","year":"1976","unstructured":"Ragsdell KM, Phillips DT (1976) Optimal design of a class of welded structures using geometric programming. J Eng Ind 98:1021\u20131025. https:\/\/doi.org\/10.1115\/1.3438995","journal-title":"J Eng Ind"}],"container-title":["The Journal of Supercomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-025-07106-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11227-025-07106-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11227-025-07106-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T03:52:58Z","timestamp":1741837978000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11227-025-07106-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,13]]},"references-count":54,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2025,3]]}},"alternative-id":["7106"],"URL":"https:\/\/doi.org\/10.1007\/s11227-025-07106-z","relation":{},"ISSN":["1573-0484"],"issn-type":[{"value":"1573-0484","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,3,13]]},"assertion":[{"value":"20 February 2025","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 March 2025","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"609"}}