Particle swarm stability : a theoretical extension using the non-stagnate distribution assumption

dc.contributor.authorCleghorn, Christopher Wesley
dc.contributor.authorEngelbrecht, Andries P.
dc.contributor.emailccleghorn@cs.up.ac.zaen_ZA
dc.date.accessioned2017-10-25T11:31:25Z
dc.date.issued2018-03
dc.description.abstractThis paper presents an extension of the state of the art theoretical model utilized for understanding the stability criteria of the particles in particle swarm optimization algorithms. Conditions for order-1 and order-2 stability are derived by modeling, in the simplest case, the expected value and variance of a particle’s personal and neighborhood best positions as convergent sequences of random variables. Furthermore, the condition that the expected value and variance of a particle’s personal and neighborhood best positions are convergent sequences is shown to be a necessary condition for order-1 and order-2 stability. The theoretical analysis presented is applicable to a large class of particle swarm optimization variants.en_ZA
dc.description.departmentComputer Scienceen_ZA
dc.description.embargo2019-03-01
dc.description.librarianhj2017en_ZA
dc.description.urihttp://link.springer.com/journal/11721en_ZA
dc.identifier.citationCleghorn, C.W. & Engelbrecht, A.P. Particle swarm stability : a theoretical extension using the non-stagnate distribution assumption. Swarm Intelligence (2018) 12: 1-22. https://doi.org/10.1007/s11721-017-0141-x.en_ZA
dc.identifier.issn1935-3812 (print)
dc.identifier.issn1935-3820 (online)
dc.identifier.other10.1007/s11721-017-0141-x
dc.identifier.urihttp://hdl.handle.net/2263/62934
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© Springer Science+Business Media, LLC 2017. The original publication is available at : http://link.springer.comjournal/11721.en_ZA
dc.subjectStability analysisen_ZA
dc.subjectStability criteriaen_ZA
dc.subjectParticle swarm optimization (PSO)en_ZA
dc.titleParticle swarm stability : a theoretical extension using the non-stagnate distribution assumptionen_ZA
dc.typePostprint Articleen_ZA

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