2005
DOI: 10.1109/tsmcb.2005.850530
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A hierarchical particle swarm optimizer and its adaptive variant

Abstract: Abstract-A hierarchical version of the particle swarm optimization (PSO) metaheuristic is introduced in this paper. In the new method called H-PSO, the particles are arranged in a dynamic hierarchy that is used to define a neighborhood structure. Depending on the quality of their so-far best-found solution, the particles move up or down the hierarchy. This gives good particles that move up in the hierarchy a larger influence on the swarm. We introduce a variant of H-PSO, in which the shape of the hierarchy is … Show more

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Cited by 308 publications
(153 citation statements)
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“…Performance of GD-FF algorithm is tested on a number of benchmark functions (table 1) which have been extensively used [19]. The benchmark functions include two unimodal functions, Rosenbrock and Sphere, and three multimodal functions, Rastrigin, Griewank and Ackley.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Performance of GD-FF algorithm is tested on a number of benchmark functions (table 1) which have been extensively used [19]. The benchmark functions include two unimodal functions, Rosenbrock and Sphere, and three multimodal functions, Rastrigin, Griewank and Ackley.…”
Section: Resultsmentioning
confidence: 99%
“…However, the attractiveness β is relative, it should vary with the distance r between firefly i and firefly j. As light intensity decreases with the distance from its source and light is also absorbed in the media, so we should allow the attractiveness to vary with degree of absorption [19], [12].…”
Section: Firefly Algorithmmentioning
confidence: 99%
“…Performance of the proposed PSO models is tested on a number of benchmark functions (Table 1) which have been extensively used in the literature [40]. The benchmark functions include two unimodal functions, Rosenbrock and Sphere and three multimodal functions, Rastrigin, Griewank, and Ackley.…”
Section: Experimental Studymentioning
confidence: 99%
“…Concept of discrete particle swarm optimization [2] is used to effectively map job scheduling solution to PSO particle. Hierarchical particle swarm optimization (HPSO) is another such meta-heuristic proposed by Janson and Middendorf [3] as a variant of PSO. It has increased diversity of population and better convergence.…”
Section: Introductionmentioning
confidence: 99%
“…The changing arrangement of individuals helps preserving diversity, avoid premature convergence in the early iterations and promote convergence towards global optimum. Hierarchical particle swarm optimization introduced in [3] has been successfully applied in solving continuous optimization functions. It was also used as an efficient method for economic load dispatch problem [21].…”
Section: Introductionmentioning
confidence: 99%