3- 2x >
2 x - 12
Answers
Answer:
Problem Objective functions Constraints
CONSTR minimize:
f1(x) = x1 9x1+x2−6⩾0
f2(x) = (1 + x2)/x1 9x1−x2−1⩾0
0.1⩽x1⩽1, 0⩽x2⩽5
KITA maximize:
f1(x)=−x21+x2 16x1+x2−132⩽0
f2(x)=12x1+x2+ 1 12x1+x2−152⩽0
5x1+x2−30⩽0
x1⩾0, x2⩾0
EX004 minimize:
f1(x) = x1 + 2 2x1+ 3x2−6⩾0
f2(x)=exp(x2)+ 1 2x1+ 3x2−12⩽0
x1⩾0, 0⩽x2⩽2
HS05X minimize:
f1(x) = (x1 − x2)2 + (x2 + x3 − 2)2
+ (2x4 − 1)2 + (x5 − 1)2 x1 + 3x2 − 4 = 0
f2(x) = (4x1 − x2)2 + (x2 − x3 − 2)2
+ (x4 − 1)2 + (3x5 − 1)2 x3 + x4 − 2x5 = 0
f3(x) = (x1 + x2)2 + (x2 + x3 + 2)2
+ (x4 − 1)2 + (x5 + 1)2 x2 − x5 = 0
−10⩽xi⩽10,i=1,…,5.
LISWETM minimize:
f1(x)=∑i=17−(Ti−−√+ 0.1sin(i))xi
+∑7i=10.25x2i ∑2i=0cixj+k−i⩾0,j=1,…,5
f2(x)=∑i=17−(T3i+ 0.1sin(i))xi
+∑7i=10.5x2i xi⩾0,i=1,…,7
Ti=i−1n+k−1, i=1,…,7,
c0 = 1, c2 = − 2 and c3 = 1.
PEKKA1 maximize:
f1(x) = 11x2 + 11x3 + 12x4
+ 9x5 + 9x6 − 9x7 ∑i=17xi= 1
f2(x) = 11x2 + 11x3 + 9x4
+ 12x5 + 9x6 − 9x7 xi⩾0,i=1,2,…,7
f3(x) = 11x1 + 11x2 + 9x4
+ 9x5 + 12x6 + 12x7
PEKKA2 maximize:
f1(x) = x1 x1+ 2x2+ 2x3−8⩽0
f2(x) = x2 2x1+ 2x2+x3−8⩽0
f3(x) = x3 3x1−2x2+ 4x3−12⩽0
xi⩾0,i=1,2,3
SW1 maximize:
f1(x) = 100 − 7x1 − 20x2 − 9x3 1.5x1+x2+ 1.6x3−9⩽0
f2(x) = 4x1 + 5x2 + 3x3 x1+ 2x2+x3−10⩽0
f3(x) = x3 3x1−2x2+ 4x3−12⩽0
xi⩾0,i=1,2,3
SW2 maximize:
f1(x) = 9x1 + 19.5x2 + 7.5x3 1.5x1+x2+ 1.6x3−9⩽0
f2(x) = 7x1 + 20x2 + 9x3 x1+ 2x2+x3−10⩽0
f3(x)=−(4x1+ 5x2+ 3x3) 3x1−2x2+ 4x3−12⩽0
xi⩾0,i=1,2,3
KM maximize:
f1(x) = x1 + x2 − 5 3x1+x2−12⩽0
f2(x)=15(10x1−x21+ 4x2−x22−11) 2x1+x2−9⩽0
x1+ 2x2−12⩽0
x1⩾0,x2⩾0
Back to article page
Over 10 million scientific documents at your fingertips
Switch Edition
Academic Edition Corporate Edition
Home Impressum Legal information Privacy statement California Privacy Statement How we use cookies Manage cookies/Do not sell my data Accessibility Contact us
Not logged in - 47.29.132.224
Not affiliated
Springer Nature
© 2021 Springer Nature Switzerland AG. Part of Springer Nature.
Help
Your privacyWe use cookies to ensure