model:
/ X/ T4 S e# v$ @9 Hmax=@sum(Ai-Bi+Di-Ei);$ ]$ a) v! l S
Ai=ai*yi^3+bi*yi^2+ci*yi+di; . s$ }% g4 Y8 a; Z$ C
Bi=ei*xi^3+fi*xi^2+gi*xi+hi;) n1 d0 ~) m8 C: j) A
Di=ki*zi^3+li*zi^2+mi*zi+ni;3 M/ O4 `1 D7 A5 ]" L# r N
Ei=pi*yi^3+qi*yi^2+si*yi+ti;7 {9 R" B" a; R
x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;7 |/ n" h; N8 D& v; }
@bnd (0.8,y1,1.1);
4 S0 ^8 i! T5 C@bnd (2.0,y2,2.3);( }/ r5 s* `7 j8 B
@bnd (1.0,y3,1.2);: J! ^/ S4 K; Z4 ^
@bnd (1.0,y4,1.5);- x, z9 U3 h; k7 ^4 B; n! p4 B/ x
@bnd (2.0,y5,12.5);5 H% M7 `* _! I6 P3 [0 Q% ^
@bnd (1.5,y6,1.7);
5 Q8 L% d3 n7 X- v1 ~: p9 _6 H@bnd (1.1,y7,1.5); t+ F- F8 u, m6 @/ n' x3 R Z: ?
@bnd (1.7,y8,2.7);
4 ]7 G% L O7 X4 ~1 P@bnd (1.0,y9,1.3);( e+ V$ \) d5 g$ x
@bnd (0.5,y10,0.9);
$ s/ y9 S3 p1 `* K2 D@bnd (0,z1,0.4);, h/ U% C, F' P: U- R6 w3 L" }
@bnd (0,z2,0.4);
( @5 {* ?+ s+ o/ X3 ~9 b@bnd (0,z3,0.4);
" j$ d# g* m$ l, W, s* l. x@bnd (0,z4,0.4);
& `" i. f! Q4 w! r@bnd (0,z5,0.4);
* c: P( W* T) ^6 H4 a@bnd (0,z6,0.3);0 u# f* }- ~2 W0 ?4 G9 h$ u
@bnd (0,z7,0.4);5 k5 {$ U! y! b% a
@bnd (0,z8,0.5);
3 Y1 f& V5 {! H! S, `' w! |@bnd (0,z9,0.3);8 i p2 T: B5 P$ \
@bnd (0,z10,0.3);
% E7 X/ i! O* G1 u. U* k9 Ly1+z1<=x1;2 V7 N1 K' v g" O4 \
y2+z2<=x2;
s, C5 Z1 O$ ey3+z3<=x3;
Y, Y" t, x0 T$ X, Q9 j5 s3 ay4+z4<=x4;( V) b0 |6 {* U! G/ S/ x% x* e
y5+z5<=x5;" F, j* G' V9 k L
y6+z6<=x6;6 ^" n, o( E/ w, K7 W
y7+z7<=x7;. m) N& B- M" H+ F
y8+z8<=x8;$ L- d! ^8 n2 d+ y# p
y9+z9<=x9;0 f8 _1 I5 v4 x5 w; j
y10+z10<=x10;
, ?8 ?- E* N) }+ U) h5 \: ?data
# B+ o. Z( m( i& C4 ~9 X/ r* `i=1,2,3,4,5,6,7,8,9,10;. e$ k" g p& c5 u+ W% ^6 V* p
a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;
/ E! ~7 y" W# y* f3 z. m# T# Ab=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;/ E# ^! v ]( C) s R) @3 _ o3 w
c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;( d. Q- g4 g* [; Q f
d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;' Z s' K9 v) d8 U% k
e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
0 M# l. e5 `: W$ B# i" R4 [) A3 wf=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;% O/ ^/ G. F/ j7 A
g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
l1 w4 s4 ~- @1 m0 P3 _h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
1 P& v, `. i8 q4 b( {3 w1 O |2 D2 |k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;) Z3 T: r4 o7 S$ p" i
l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
! c( p* z" X* l$ y% T& L" Hm=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
- L/ h$ w+ J9 I$ {- \1 Dn=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;
% T/ M$ e# B9 p, n; @7 Op=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
) |) O! O8 i0 H8 Q3 U; Q4 Dq=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;$ j6 B* Z+ u! y) v' R
s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;6 ?: E# x. x5 }4 E) D M4 G! F
t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;- {3 r( n) I; X% G9 t$ x# M
enddata
& r- u8 Y" O7 v7 Mend1 h& W9 Q5 ?0 D! A8 m" m
- model:) G+ s\" o+ \! b6 N3 F2 J
- max=@sum(Ai-Bi+Di-Ei);
( F7 Q h4 `7 a$ o' j - Ai=ai*yi^3+bi*yi^2+ci*yi+di;
& Q9 O, d) ?1 h6 E - Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
' v+ {# r' g( G; C1 [' j - Di=ki*zi^3+li*zi^2+mi*zi+ni;& q6 L8 U4 u3 a
- Ei=pi*yi^3+qi*yi^2+si*yi+ti;
P6 Y\" ^7 o: u, X - x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
( S4 Q/ ?- ?8 x' |, J& y - @bnd (0.8,y1,1.1);
3 [0 O* y& L& t% s. K9 K [ - @bnd (2.0,y2,2.3);
! \! a0 L+ w# X% N6 w' t4 o& R - @bnd (1.0,y3,1.2);5 r* |+ K\" l; ]1 r7 t5 I
- @bnd (1.0,y4,1.5);- w, u5 o, Q7 S8 w
- @bnd (2.0,y5,12.5);2 V k7 U# _# y0 j! n7 T( V7 |; I
- @bnd (1.5,y6,1.7);
3 N0 Y8 _* H# {2 c8 B5 Q h# _& g - @bnd (1.1,y7,1.5);7 s' M0 z: m# d$ o2 |) V
- @bnd (1.7,y8,2.7);
0 q; h7 Z/ x4 z - @bnd (1.0,y9,1.3);
6 G\" Q6 `3 e z. s8 X1 J - @bnd (0.5,y10,0.9);
, Q F- v; |+ K+ |, R, F\" ]! |; a - @bnd (0,z1,0.4);/ ?6 ^& ?* ]: ]# E* H, w# Q
- @bnd (0,z2,0.4);
7 @2 p6 O: s, @5 o) ~9 W& c$ A - @bnd (0,z3,0.4);
2 ?* F! q# F; M9 X% G - @bnd (0,z4,0.4);
) w+ _* c1 U. J9 @% R' t - @bnd (0,z5,0.4);
6 {5 Y. O0 q& h2 T4 L! x7 S, I - @bnd (0,z6,0.3);
' k+ ]! H' F& F - @bnd (0,z7,0.4);5 R: |: V' r- H# o$ n+ \. [
- @bnd (0,z8,0.5);
9 j0 x4 x. { J7 i, _ - @bnd (0,z9,0.3);7 T: A3 U6 {$ P\" {; K8 V$ }1 G
- @bnd (0,z10,0.3);
1 ~\" Y# y( E* d. I `/ T - y1+z1<=x1;3 D9 [0 M5 s. Y& ?- l+ A
- y2+z2<=x2;8 a2 |6 T/ Q8 N; Z8 o+ z
- y3+z3<=x3;- A0 ^5 r1 G+ O* M2 f
- y4+z4<=x4;
2 V F) e- o- J# L' T1 s - y5+z5<=x5;4 F) Q1 g\" H' F# O6 Y! H
- y6+z6<=x6;6 C* s$ b, v% u3 H
- y7+z7<=x7;
3 U+ [* a, S% Y+ V Z - y8+z8<=x8;
/ R. X# U* O& Q\" u% S. L - y9+z9<=x9;
7 k. W$ I0 I+ r - y10+z10<=x10;
5 f& l4 N: _% a - data
& E- l/ c; J5 Z! V - i=1,2,3,4,5,6,7,8,9,10;1 `! F7 s. r0 o0 s: }, ]' f
- a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;
, {9 A; Q2 ~8 ] - b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;+ D& `. m. y3 N* f
- c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
- A; T+ [$ l' s - d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;
: c0 C9 H+ L& E3 V\" m - e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
8 Q9 u% M. R) A( ?8 J - f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;7 d- U W5 G8 }& M
- g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
r% ^. B- b2 m- B; Y$ v* q9 {/ G - h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
+ S {: P( ~- ]+ i. e - k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;
% O. c0 L: x* f, l. T\" w - l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;( q9 l- A7 X; a& ^) D
- m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
* M! P\" O. E) d2 K - n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;8 t2 |4 R5 y- M6 H, q$ y
- p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
0 |$ U- @8 g; g - q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;: u# G. R% T9 U, I9 S0 U3 r
- s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;: f9 w! c7 H$ P5 @
- t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;
; ^9 x: A$ ]3 m8 ^ - enddata
/ P% b+ I' p1 j! s1 I. B' N2 ` - end
, z) }# {! d' _3 c
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