EE4047_Part5 - 1 City University of Hong Kong City...

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Unformatted text preview: 1 City University of Hong Kong City University of Hong Kong City University of Hong Kong City University of Hong Kong Part 5: Advantages Strength of GA s Handle multi-modal problems s Handle multi-objective problems s Parallelism s Handle constrainted problems 2 Multi-objective Problems s Linear combination s Nonlinear combination s Pareto-based approach Pareto Optimality feasible searching domain Pareto Optimal Set Example: Minimization of f 1 and f 2 f 2 f 1 3 Multi-objective s Dominance : For an n-objective minimization problem, chromosome u is dominated by chromosome v ( v is preferable to u ) if f(v) is partially less than f(u) ( ) () ( ) () n j v f u f n i v f u f j j i i , , 2 , 1 and , , 2 , 1 L L = ∃ > = ∀ ≥ ( ) ( ) ⇔ < u f v f p Example 5 3 3 2 x 2 5 4 3 2 x 1 f 4 ( · ) f 3 ( · ) f 2 ( · ) f 1 ( · ) s Minimization Problem with 4-objectives s x 1 is dominated by x 2 s x 2 is more preferable than x 1 4 A(1) D (1) C(1) B (1) E(2) F(2) G (3) f 1 f 2 Goldberg method s All non-dominated individuals should have the same reproductive potential. Fonseca and Fleming Method s The rank of each individual is defined by (1+p) where p is the number of individuals in the population that dominate it s Non-dominated individuals are having the same rank, while dominated ones are penalized....
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This note was uploaded on 05/01/2011 for the course ELECTRICAL EE5602 taught by Professor Xuequan during the Spring '11 term at City University of Hong Kong.

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EE4047_Part5 - 1 City University of Hong Kong City...

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