EE4047_Part6

# EE4047_Part6 - Part 6 Advantages City University of Hong...

This preview shows pages 1–6. Sign up to view the full content.

City University of Hong Kong Part 6: Advantages Strength of GA Handle multi-modal problems Handle multi-objective problems Parallelism Handle constrainted problems

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Multi-objective Problems Linear combination Nonlinear combination Pareto-based approach Pareto Optimality feasible searching domain Pareto Optimal Set Example: Minimization of f 1 and f 2 f 2 f 1
Multi-objective 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 ( · ) Minimization Problem with 4-objectives x 1 is dominated by x 2 x 2 is more preferable than x 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Goldberg method All non-dominated individuals should have the same reproductive potential. A(1) D (1) C(1) B (1) E(2) F(2) G (3) f 1 f 2 Fonseca and Fleming Method The rank of each individual is defined by (1+p) where p is the number of individuals in the population that dominate it Non-dominated individuals are having the same rank, while dominated ones are penalized. A(1) D(1) C(1) B(1) E(2) F(3) G(4) f 1 f 2
Goldberg vs Fonseca/Fleming In dividu al O bjective 1 O bjective 2 R an kin g F on cseca/ F lem in g R an kin g G oldberg 1 60.70(6) 90.68(2) 3 2 2 0.16(8) 26.76(4) 1 1 3 66.65(4) 15.94(5) 3 2 4 92.06(1) 90.76(1) 8 4 5 63.98(5) 0.38(8) 1 1 6 89.10(2) 9.59(6) 3 2 7 32.34(7) 4.89(7)

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern