ex5_3_2.gms:
References:
- 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.
- Visweswaran, V, and Floudas, C A, Computational Results for an Efficient Implementation of the GOP Algorithm and its Variants. In Grossmann, I E, Ed, Global Optimization in Engineering Design. Kluwer Books, 1996.
- Original source: Global Model of Chapter 5 ex5.3.2.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 1.8642
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:39
*
* Equation counts
* Total E G L N X
* 17 17 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 23 23 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 64 40 24 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,x21,x22,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20,x21,x22;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17;
e1.. x1 + x2 + x3 + x4 =E= 300;
e2.. x5 - x6 - x7 =E= 0;
e3.. x8 - x9 - x10 - x11 =E= 0;
e4.. x12 - x13 - x14 - x15 =E= 0;
e5.. x16 - x17 - x18 =E= 0;
e6.. x13*x21 + 0.333*x1 - x5 =E= 0;
e7.. x13*x22 - x8*x20 + 0.333*x1 =E= 0;
e8.. - x8*x19 + 0.333*x1 =E= 0;
e9.. - x12*x21 - 0.333*x2 =E= 0;
e10.. x9*x20 - x12*x22 + 0.333*x2 =E= 0;
e11.. x9*x19 + 0.333*x2 - x16 =E= 0;
e12.. x14*x21 + 0.333*x3 + x6 =E= 30;
e13.. x10*x20 + x14*x22 + 0.333*x3 =E= 50;
e14.. x10*x19 + 0.333*x3 + x17 =E= 30;
e15.. x19 + x20 =E= 1;
e16.. x21 + x22 =E= 1;
e17.. - 0.00432*x1 - 0.01517*x2 - 0.01517*x9 - 0.00432*x13 + objvar
=E= 0.9979;
* set non default bounds
x1.up = 300;
x2.up = 300;
x3.up = 300;
x4.up = 300;
x5.up = 300;
x6.up = 300;
x7.up = 300;
x8.up = 300;
x9.up = 300;
x10.up = 300;
x11.up = 300;
x12.up = 300;
x13.up = 300;
x14.up = 300;
x15.up = 300;
x16.up = 300;
x17.up = 300;
x18.up = 300;
x19.up = 1;
x20.up = 1;
x21.up = 1;
x22.up = 1;
* set non default levels
* 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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