ex5_4_3.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 ex5.4.3.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 4845.4620
<![CDATA[
* NLP written by GAMS Convert at 07/19/01 13:39:40
*
* Equation counts
* Total E G L N X
* 14 14 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 17 17 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 43 25 18 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,objvar;
Positive Variables x5,x6,x7,x8,x9,x10,x11,x12;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14;
e1.. x5 + x9 =E= 10;
e2.. x5 - x6 + x11 =E= 0;
e3.. x7 + x9 - x10 =E= 0;
e4.. - x6 + x7 + x8 =E= 0;
e5.. - x10 + x11 + x12 =E= 0;
e6.. x16*x11 - x13*x6 + 150*x5 =E= 0;
e7.. x15*x7 - x14*x10 + 150*x9 =E= 0;
e8.. x6*x15 - x6*x13 =E= 1000;
e9.. x10*x16 - x10*x14 =E= 600;
e10.. x1 + x15 =E= 500;
e11.. x2 + x13 =E= 250;
e12.. x3 + x16 =E= 350;
e13.. x4 + x14 =E= 200;
e14.. - (1300*(1000/(0.0333333333333333*x1*x2 + 0.166666666666667*x1 +
0.166666666666667*x2))**0.6 + 1300*(600/(0.0333333333333333*x3*x4 +
0.166666666666667*x3 + 0.166666666666667*x4))**0.6) + objvar =E= 0;
* set non default bounds
x1.lo = 10; x1.up = 350;
x2.lo = 10; x2.up = 350;
x3.lo = 10; x3.up = 200;
x4.lo = 10; x4.up = 200;
x5.up = 10;
x6.up = 10;
x7.up = 10;
x8.up = 10;
x9.up = 10;
x10.up = 10;
x11.up = 10;
x12.up = 10;
x13.lo = 150; x13.up = 310;
x14.lo = 150; x14.up = 310;
x15.lo = 150; x15.up = 310;
x16.lo = 150; x16.up = 310;
* 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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