lecture 12

05 410729 3 22014 iner0a weight vs constric0on

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Unformatted text preview: w(nt) is the ﬁnal iner0a weight and w(t) is the iner0a at 0me step t. –  c1=c2=2; Vmax=Xmax. •  idea: large w to explore ﬁrst and gradually decrease w to exploit the search space when reaching the sweet spots. •  Nonlinear decreasing: shorter explora0on 0me than the linear decreasing method, with more 0me spent on reﬁning solu0ons (exploita0on). •  [Venter and Sobieszczanski ­Sobieski, 2003] •  [Clerc and Kennedy, 2002] developed a Constric0on Coeﬃcient χ for PSO. •  The velocity update equa0on becomes: ω ( t + 1) = α × ω ( t ) where w(0)=1.4, w(n)=0.35, α=0.975 Iner0a weight is adjusted when varia0on of the 20% best € par0cles is < 1.0. χ= 2κ |2 −φ − φ (φ − 4 ) | , φ = c1 + c 2 , φ ≥ 4, κ ∈ [0,1] •  Normally κ=1; c1=c2=2.05; ϕ=4.1;χ=0.729 € 3 2/20/14 Iner0a weight vs. constric0on coeﬃcient •  Both balance explora0on and exp...
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