{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,7]],"date-time":"2026-05-07T18:49:22Z","timestamp":1778179762740,"version":"3.51.4"},"reference-count":215,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2018,10,10]],"date-time":"2018-10-10T00:00:00Z","timestamp":1539129600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["MAKE"],"abstract":"<jats:p>Particle Swarm Optimization (PSO) is a metaheuristic global optimization paradigm that has gained prominence in the last two decades due to its ease of application in unsupervised, complex multidimensional problems that cannot be solved using traditional deterministic algorithms. The canonical particle swarm optimizer is based on the flocking behavior and social co-operation of birds and fish schools and draws heavily from the evolutionary behavior of these organisms. This paper serves to provide a thorough survey of the PSO algorithm with special emphasis on the development, deployment, and improvements of its most basic as well as some of the very recent state-of-the-art implementations. Concepts and directions on choosing the inertia weight, constriction factor, cognition and social weights and perspectives on convergence, parallelization, elitism, niching and discrete optimization as well as neighborhood topologies are outlined. Hybridization attempts with other evolutionary and swarm paradigms in selected applications are covered and an up-to-date review is put forward for the interested reader.<\/jats:p>","DOI":"10.3390\/make1010010","type":"journal-article","created":{"date-parts":[[2018,10,10]],"date-time":"2018-10-10T11:53:13Z","timestamp":1539172393000},"page":"157-191","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":422,"title":["Particle Swarm Optimization: A Survey of Historical and Recent Developments with Hybridization Perspectives"],"prefix":"10.3390","volume":"1","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1114-343X","authenticated-orcid":false,"given":"Saptarshi","family":"Sengupta","sequence":"first","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, Vanderbilt University, 2201 West End Ave, Nashville, TN 37235, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9807-8388","authenticated-orcid":false,"given":"Sanchita","family":"Basak","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, Vanderbilt University, 2201 West End Ave, Nashville, TN 37235, USA"}]},{"suffix":"II","given":"Richard","family":"Peters","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Computer Science, Vanderbilt University, 2201 West End Ave, Nashville, TN 37235, USA"}]}],"member":"1968","published-online":{"date-parts":[[2018,10,10]]},"reference":[{"key":"ref_1","unstructured":"Kennedy, J., and Eberhart, R. 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