An Extension of the Nested Partitions Method
EBERT BREA
SOLUTION.
(−12.2054969669241,...,−12.2054969669241
|
{z
}
n
);
(45a)
yˆt =
|
{z
}
m
),
(45b)
and
f(ˆz)
(46)
c.
OBJECTIVE
f(z)
Xn
i=1
x(i)4
+
Xm
i=1
y(i)4
,
(47)
where
BOUND
l =
(48a)
{z
}
n
;2,...,2
|
{z
}
m
),
and
−994.028673136238n−893.297426825682m.
B
Procedure Surrounding(n, m, Θ, σ)
Given:
The
l(ℓ) ≤−x(ℓ) ≤−u(ℓ),
A
lσ(ℓ) ≤−x(ℓ) ≤−u(ℓσ ),
Declare:
A
[˘x(ij)]4,ni=1,j=1 ∈−R4×nfor
[˘y(ij)]4,mi=1,j=1 ∈−Z4×mfor
for ℓ ←−
xˇ(1,ℓ) ←−
x˘(2,ℓ) ←−
x˘(3,ℓ) ←−uσ(ℓ);
x˘(4,ℓ) ←−u(ℓ);
for ℓ ←−n +
yˇ(1,ℓ−n) ←−
yˇ(2,ℓ−n) ←−
y˘(3,ℓ−n) ←−u¯σ(ℓ);
y˘(4,ℓ−n) ←−u¯(ℓ);
Figure 17.
Revista
Semestre
ISSN
ISSN:
134