model:
+ F8 O9 i0 r1 Q d5 Ymax=@sum(Ai-Bi+Di-Ei);
% ~$ Z' Q9 A% O% jAi=ai*yi^3+bi*yi^2+ci*yi+di;
* [0 L% P! K7 [9 ^Bi=ei*xi^3+fi*xi^2+gi*xi+hi;
0 Q- D7 ]' A {' [; jDi=ki*zi^3+li*zi^2+mi*zi+ni;
; I+ o% r$ d1 n$ k" E- U) [- s/ NEi=pi*yi^3+qi*yi^2+si*yi+ti;
, ^1 m% y. q9 K _" K8 Y6 o3 Cx1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
3 `1 K! M% @ g h@bnd (0.8,y1,1.1);
! }1 D7 y4 d$ r0 U3 o/ [" s! S: s; H@bnd (2.0,y2,2.3);0 \( c$ ~1 e0 h" Q6 ~
@bnd (1.0,y3,1.2);
* M A. u; H H' H% S! p1 N@bnd (1.0,y4,1.5);3 n9 L2 c8 |( H* I5 y) b
@bnd (2.0,y5,12.5);; u/ X9 W- u8 f3 H& n6 \
@bnd (1.5,y6,1.7);1 u& J+ e- z( X* O( _6 K; Q4 Y6 C
@bnd (1.1,y7,1.5);8 y, e' M' }9 [+ K4 T" w
@bnd (1.7,y8,2.7);
/ U4 i) y. u' i* K5 T# l@bnd (1.0,y9,1.3);
. U7 z& D* M6 J' L- q@bnd (0.5,y10,0.9);; K& f0 l; q+ t! k {8 S8 ?: R
@bnd (0,z1,0.4);' ^; p7 f3 x8 t$ A. Z z
@bnd (0,z2,0.4);
5 Y+ M& h8 N. X! A# m# o. J; u@bnd (0,z3,0.4);" U, x5 O: M) L* p- V+ y9 V( ?- u
@bnd (0,z4,0.4);
& x, [/ Q* w7 u@bnd (0,z5,0.4);
. A1 S$ A% r8 b* _2 K+ r8 e@bnd (0,z6,0.3); m% o- w& D6 C& ~. `6 w; h* D* X
@bnd (0,z7,0.4);7 c* j% | B" T; ]! I
@bnd (0,z8,0.5);
) E2 V, ^* {5 u@bnd (0,z9,0.3);1 M3 O( r, l" e/ ?) h+ d
@bnd (0,z10,0.3);6 |' S* o" y8 g4 [$ T
y1+z1<=x1;
" K# i+ }% A+ Hy2+z2<=x2;5 s9 g* z6 c) J( Z5 A
y3+z3<=x3;5 w6 o2 L7 G( |3 E) ?
y4+z4<=x4;
1 o( Y. ?0 {3 V# hy5+z5<=x5;
/ m& Z3 l* T; s/ V6 x' V5 @/ v5 gy6+z6<=x6;
) Q; n. p1 B9 z, i! ^y7+z7<=x7;/ z3 F- R/ Z6 J p; {' c
y8+z8<=x8;
* `4 A- N2 v: B# X6 |y9+z9<=x9;0 M0 `- J$ x9 K1 U# D+ ^0 t* c H r* R
y10+z10<=x10;
6 N. w! k* r2 j5 Kdata
/ _& C/ G$ t5 g# y& X' ]6 K7 d6 X8 Q" b! y- ui=1,2,3,4,5,6,7,8,9,10;
' }* {, I" u" [/ wa=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;, j0 a, m2 c: {
b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
; j! @' J8 @3 F5 [- D9 rc=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;
6 n' {. i; q6 o% m( E, U" y* jd=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;* F8 [. x- D3 q. o" Y' \. G. Q* j
e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;/ |8 J, R! `+ @9 F+ g( L. I5 L
f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;
9 r: j% Q, i( l7 Eg=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
$ r& |$ w/ I: j& Q' l K; Dh=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;
/ B4 s6 Z! A2 E# b/ X$ `1 n' F1 sk=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;1 P, O( [# E2 v2 v1 _2 W) s
l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;* ~! e; l# j% e' y( d; ]; C
m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;
- V/ ~1 V+ H3 U6 nn=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;& `6 I& x2 z# F( k- Q
p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;
6 H' B0 x" B w! k/ Tq=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;
3 }, Q% f* K7 is=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
' b6 B5 H8 A1 ], S1 }# |$ jt=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;$ R' A( f, i% K; k
enddata # I" V0 l! W1 }4 v
end& g5 @2 l& k$ B% [: n" d
- model:
\" R5 U- W& R h# ^; G - max=@sum(Ai-Bi+Di-Ei);
/ s9 a\" l/ d- m) G - Ai=ai*yi^3+bi*yi^2+ci*yi+di; 2 t' S) b- v% z4 K+ G' n: q0 b* O
- Bi=ei*xi^3+fi*xi^2+gi*xi+hi;: c/ H* m& J; z
- Di=ki*zi^3+li*zi^2+mi*zi+ni;
& Z\" q7 d* \$ } - Ei=pi*yi^3+qi*yi^2+si*yi+ti;
\" E& c* i7 I% W* M: X0 f$ Y - x1+x2+x3<=5;x4+x5+x6<=6.5;x7+x8+x9+x10<=6.2;
4 x8 A# Q9 {1 P7 { - @bnd (0.8,y1,1.1);
. J/ F' F1 K8 {& ~% Y/ | - @bnd (2.0,y2,2.3);
7 D, V8 S+ c: K* S4 W( e5 q1 W: A - @bnd (1.0,y3,1.2);
\" @1 n& c% t) N' U - @bnd (1.0,y4,1.5);' e! z+ e5 B3 m
- @bnd (2.0,y5,12.5);
) A N: v. J# Y& V$ H - @bnd (1.5,y6,1.7);
% Z4 E2 T; B- ~9 k) w/ i$ ~& p5 d - @bnd (1.1,y7,1.5);
0 G# b4 K$ d% a1 w' D0 m0 \, v - @bnd (1.7,y8,2.7);0 [4 Z. I1 [2 K! ]
- @bnd (1.0,y9,1.3);/ h1 M+ _5 |\" G
- @bnd (0.5,y10,0.9);) N5 D, Z3 d; o8 h+ F. L! ^9 `
- @bnd (0,z1,0.4);
& r3 I% G! a+ Z6 E5 Y - @bnd (0,z2,0.4);7 X6 j3 n5 l7 R. P: E5 v/ \& Y3 K
- @bnd (0,z3,0.4);: Z2 M' V- i; R8 X; x0 M
- @bnd (0,z4,0.4);
& p- ~2 [/ a: R7 s8 D2 _+ s9 U - @bnd (0,z5,0.4);8 d: N3 s$ l$ [8 D/ q
- @bnd (0,z6,0.3);% B6 u% b- C2 E+ \4 K/ s
- @bnd (0,z7,0.4);
9 h) ?& r4 l; m. A6 H& r+ y - @bnd (0,z8,0.5);
5 e) t- {9 w8 `2 ]) @8 l4 M - @bnd (0,z9,0.3);
6 x1 G! V9 I. `8 L - @bnd (0,z10,0.3);
4 F5 [( B' f y - y1+z1<=x1;
9 L8 x\" M+ E- i9 I8 o, H - y2+z2<=x2;: v* g; }2 _; ` D$ C: U; p) b- [
- y3+z3<=x3;
9 C d0 ~# t+ a - y4+z4<=x4;
+ K9 j& B4 m$ ~/ N - y5+z5<=x5;
7 J B3 b8 H, P0 I - y6+z6<=x6;
' D, u: W1 p5 l h# s9 \/ S - y7+z7<=x7;
! u& V! s3 f' O3 s1 b9 A$ b: N2 F - y8+z8<=x8;) V' z g9 Y\" b7 ?, ], ~2 \/ l2 T
- y9+z9<=x9;
9 c/ i: |' Q' i& w - y10+z10<=x10;' f8 j$ z* } x
- data
& k$ M* V( _. u9 g' M( p - i=1,2,3,4,5,6,7,8,9,10;/ j& f/ M' [$ e3 k( b
- a=0.000272,0.007751,0.01651,0.0682,0.06257,0.0783,0.1045,0.09854,0.187,0.1048;: d% A$ f, ]; a) j\" H! y( n8 a% Z( }
- b=-0.272,0.4139,-0.5603,-1.965,-2.003,-2.24,-2.743,-2.724,-4.302,-2.905;
r7 H' a4 l# R5 R0 q( L& B - c=11.44,12.88,13.94,36.01,40.31,41.97,44.65,46.98,55.79,50.61;- |2 W4 o8 l) Z4 X
- d=1.358,1.218,0.7558,-2.08,-1.25,-1.594,-3.144,-2.683,-9.029,-2.73;3 K) Z; l6 L% U4 h6 ?* w# h5 ]: q2 ~
- e=0.0002161,0.0004551,0.0002442,0.0003545,-4.632e-005,0.0004552,0.006493,0.006957,0.007349,0.007544;
( w5 h: [+ f% ^* z ~3 e - f=-0.07352,-0.09488,-0.08338,-0.2036,-0.201,-0.2436,-0.6369,-0.6824,-0.721,-0.7399;
8 I# p; C% D) S - g=7.79,8.709,8.831,20.38,22.83,24.17,29.09,31.16,32.93,33.78;
7 I4 V2 i. @\" a0 F - h=1.854,1.407,2.094,5.732,8.02,6.236,-3.45,-3.697,-3.925,-4.241;; I8 s# W5 C w\" c6 o P( f3 G! U, ~
- k=0.007045,0.01005,0.01886,0.02932,0.03674,0.03538,0.03871,0.04347,0.04463,0.04981;, t0 M' O( ]$ q5 N5 |, E7 Q
- l=-0.2024,-0.2572,-0.3986,-0.7339,-0.8843,-0.8631,-0.9269,-1.037,-1.091,-1.177;
! d0 ^0 u8 ^2 ]( _ - m=2.329,2.646,3.264,7.036,8.206,8.194,8.568,9.415,9.971,10.44;9 o# o. z% s/ g6 ]. k& H) N( f
- n=-0.014,-0.03464,-0.4915,-0.863,-0.867,-0.5351,-0.901,-1.315,-1.429,-1.651;
0 O- H: l; ?/ J! q# B - p=0.0001282,0.0001591,0.0001402,0.0003034,0.0003049,0.0003703,0.001002,0.001075,0.001132,0.001168;9 |6 J/ q( C4 t
- q=-0.01364,-0.0163,-0.01526,-0.03628,-0.03845,-0.04374,-0.08443,-0.09059,-0.09542,-0.09836;/ G) C& h+ k3 B, y6 u, g
- s=0.8422,0.9403,0.9539,2.192,2.461,2.61,3.103,3.328,3.511,3.611;
) h/ D) x6 p; w- V0 U! a - t=1.84,1.945,2.077,4.978,5.858,5.775,4.951,5.285,5.599,5.676;) d; U. Q, Z$ |$ C8 x: v
- enddata ! v4 z- t. L, x2 n7 g- ?! w! i
- end2 Z2 K, b# r8 v\" e
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