ex2_1_10.gms:
Reference:
- Floudas, C A, Pardalos, P M, Adjiman, C S, Esposito, W R, Gumus, Z H, Harding, S T, Klepeis, J L, Meyer, C A, and Schweiger, C A, Handbook of Test Problems in Local and Global Optimization. Kluwer Academic Publishers, 1999.
- Original source: Global Model of Chapter 2 ex2.1.10.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 49318.0180
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:27
*
* Equation counts
* Total E G L N X
* 11 1 0 10 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 21 21 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 221 201 20 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11;
e1.. - (0.5*(42*sqr(52 + x11) + 98*sqr(3 + x12) + 48*sqr(x13 - 81) + 91*sqr(
x14 - 30) + 11*sqr(85 + x15) + 63*sqr(x16 - 68) + 61*sqr(x17 - 27) + 61*
sqr(81 + x18) + 38*sqr(x19 - 97) + 26*sqr(73 + x20)) - 0.5*(63*sqr(19 + x1
) + 15*sqr(27 + x2) + 44*sqr(23 + x3) + 91*sqr(53 + x4) + 45*sqr(42 + x5)
+ 50*sqr(x6 - 26) + 89*sqr(33 + x7) + 58*sqr(23 + x8) + 86*sqr(x9 - 41)
+ 82*sqr(x10 - 19))) + objvar =E= 0;
e2.. 3*x1 + 5*x2 + 5*x3 + 6*x4 + 4*x5 + 4*x6 + 5*x7 + 6*x8 + 4*x9 + 4*x10
+ 8*x11 + 4*x12 + 2*x13 + x14 + x15 + x16 + 2*x17 + x18 + 7*x19 + 3*x20
=L= 380;
e3.. 5*x1 + 4*x2 + 5*x3 + 4*x4 + x5 + 4*x6 + 4*x7 + 2*x8 + 5*x9 + 2*x10
+ 3*x11 + 6*x12 + x13 + 7*x14 + 7*x15 + 5*x16 + 8*x17 + 7*x18 + 2*x19
+ x20 =L= 415;
e4.. x1 + 5*x2 + 2*x3 + 4*x4 + 7*x5 + 3*x6 + x7 + 5*x8 + 7*x9 + 6*x10 + x11
+ 7*x12 + 2*x13 + 4*x14 + 7*x15 + 5*x16 + 3*x17 + 4*x18 + x19 + 2*x20
=L= 385;
e5.. 3*x1 + 2*x2 + 6*x3 + 3*x4 + 2*x5 + x6 + 6*x7 + x8 + 7*x9 + 3*x10
+ 7*x11 + 7*x12 + 8*x13 + 2*x14 + 3*x15 + 4*x16 + 5*x17 + 8*x18 + x19
+ 2*x20 =L= 405;
e6.. 6*x1 + 6*x2 + 6*x3 + 4*x4 + 5*x5 + 2*x6 + 2*x7 + 4*x8 + 3*x9 + 2*x10
+ 7*x11 + 5*x12 + 3*x13 + 6*x14 + 7*x15 + 5*x16 + 8*x17 + 4*x18 + 6*x19
+ 3*x20 =L= 470;
e7.. 5*x1 + 5*x2 + 2*x3 + x4 + 3*x5 + 5*x6 + 5*x7 + 7*x8 + 4*x9 + 3*x10
+ 4*x11 + x12 + 7*x13 + 3*x14 + 8*x15 + 3*x16 + x17 + 6*x18 + 2*x19
+ 8*x20 =L= 415;
e8.. 3*x1 + 6*x2 + 6*x3 + 3*x4 + x5 + 6*x6 + x7 + 6*x8 + 7*x9 + x10 + 4*x11
+ 3*x12 + x13 + 4*x14 + 3*x15 + 6*x16 + 4*x17 + 6*x18 + 5*x19 + 4*x20
=L= 400;
e9.. x1 + 2*x2 + x3 + 7*x4 + 8*x5 + 7*x6 + 6*x7 + 5*x8 + 8*x9 + 7*x10
+ 2*x11 + 3*x12 + 5*x13 + 5*x14 + 4*x15 + 5*x16 + 4*x17 + 2*x18 + 2*x19
+ 8*x20 =L= 460;
e10.. 8*x1 + 5*x2 + 2*x3 + 5*x4 + 3*x5 + 8*x6 + x7 + 3*x8 + 3*x9 + 5*x10
+ 4*x11 + 5*x12 + 5*x13 + 6*x14 + x15 + 7*x16 + x17 + 2*x18 + 2*x19
+ 4*x20 =L= 400;
e11.. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 + x10 + x11 + x12 + x13
+ x14 + x15 + x16 + x17 + x18 + x19 + x20 =L= 200;
* set non default bounds
* set non default levels
x6.l = 4.348;
x14.l = 62.609;
* set non default marginals
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using NLP minimizing objvar;
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