Swarm Intelligence Algorithms

Conclusions 95

It may, of course, happen that a new best position is found, but in this

procedure P

g

is not updated.

To explain the ruthless procedure, assume that the 4 − th individual is

replaced by updated P

g

. Then:

X

1

={0.7063, 1.4554, −2.5622}

X

2

={1.4010, 1.8743, 0.1804}

X

3

={0.6700, 1.4383, 0.3645}

X

4

={0.2428, 1.2697, −0.3872}

X

5

={0.9975, 2.0541, −2.1880},

and their objective functions have the following values: OF (X

1

)=24.4302,

OF (X

2

)=9.0864, OF (X

3

)=4.9851, OF (X

4

)=3.7329, OF (X

5

)=23.7965.

It should be noted at this point that after the first iteration the better

global solution is obtained with OF = 3.7329 (X

4

= [0.2428, 1.2697, −0.3872]).

7.6 Conclusions ...