| Algorithm | Year | Topology | Parameter settings |
| GPSO | 1998 | Global star | : , | LPSO | 2002 | Local ring | : , | FIPS | 2004 | Local Uring | , | HPSO-TVAC | 2004 | Global star | : , , and : | UPSO | 2004 | Global star | : , , and | DMS-PSO | 2005 | Dynamic multiswarm | : , , , and | VPSO | 2006 | Local Von Neumann | : , | CLPSO | 2006 | Comprehensive learning | : , , and | QIPSO | 2007 | Global star | : , | APSO | 2009 | Global star | : , ; , : | AFPSO | 2011 | Global star | : , , and are based on fuzzy rule | AFPSO-QI | 2011 | Global star | : , , and are based on fuzzy rule |
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