{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T07:54:30Z","timestamp":1762070070724,"version":"build-2065373602"},"reference-count":62,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,10,1]],"date-time":"2022-10-01T00:00:00Z","timestamp":1664582400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Deanship of Scientific Research, Taif University Researchers Supporting Project","award":["TURSP-2020\/215"],"award-info":[{"award-number":["TURSP-2020\/215"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>The swarm-based Artificial Bee Colony (ABC) algorithm has a significant range of applications and is competent, compared to other algorithms, regarding many optimization problems. However, the ABC\u2019s performance in higher-dimension situations towards global optima is not on par with other models due to its deficiency in balancing intensification and diversification. In this research, two different strategies are applied for the improvement of the search capability of the ABC in a multimodal search space. In the ABC, the first strategy, Patron\u2013Prophet, is assessed in the scout bee phase to incorporate a cooperative nature. This strategy works based on the donor\u2013acceptor concept. In addition, a self-adaptability approach is included to balance intensification and diversification. This balancing helps the ABC to search for optimal solutions without premature convergence. The first strategy explores unexplored regions with better insight, and more profound intensification occurs in the discovered areas. The second strategy controls the trap of being in local optima and diversification without the pulse of intensification. The proposed model, named the PP-ABC, was evaluated with mathematical benchmark functions to prove its efficiency in comparison with other existing models. Additionally, the standard and statistical analyses show a better outcome of the proposed algorithm over the compared techniques. The proposed model was applied to a three-bar truss engineering design problem to validate the model\u2019s efficacy, and the results were recorded.<\/jats:p>","DOI":"10.3390\/axioms11100523","type":"journal-article","created":{"date-parts":[[2022,10,8]],"date-time":"2022-10-08T00:07:43Z","timestamp":1665187663000},"page":"523","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Patron\u2013Prophet Artificial Bee Colony Approach for Solving Numerical Continuous Optimization Problems"],"prefix":"10.3390","volume":"11","author":[{"given":"Kalaipriyan","family":"Thirugnanasambandam","sequence":"first","affiliation":[{"name":"Centre for Smart Grid Technologies, School of Computer Science and Engineering, Vellore Institute of Technology, Chennai 600127, Tamilnadu, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0734-3423","authenticated-orcid":false,"given":"Rajakumar","family":"Ramalingam","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Technology, Madanapalle Institute of Technology & Science, Madanapalle 517325, Andhra Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Divya","family":"Mohan","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522302, Andhra Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8302-4571","authenticated-orcid":false,"given":"Mamoon","family":"Rashid","sequence":"additional","affiliation":[{"name":"Department of Computer Engineering, Faculty of Science and Technology, Vishwakarma University, Pune 411048, Maharashtra, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kapil","family":"Juneja","sequence":"additional","affiliation":[{"name":"Department of Computer Science Engineering, Bennett University, Greater Noida 201310, Uttar Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8194-9354","authenticated-orcid":false,"given":"Sultan S.","family":"Alshamrani","sequence":"additional","affiliation":[{"name":"Department of Information Technology, College of Computers and Information Technology, Taif University, P.O. 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