ex5_4_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.
- Avriel, M, and Williams, A C, An Extension of Geometric Programming with Applications in Engineering Optimization. Journal of Engineering Mathematics 5 (1971), 187-194.
- Original source: Global Model of Chapter 5 ex5.2.4.gms from Floudas e.a. Test Problems
Point:
p1
Best known point: p1 with value 7512.2301
* NLP written by GAMS Convert at 07/19/01 13:39:40
*
* Equation counts
* Total E G L N X
* 7 1 0 6 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 9 9 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 21 13 8 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,objvar;
Equations e1,e2,e3,e4,e5,e6,e7;
e1.. - x1 - x2 - x3 + objvar =E= 0;
e2.. x4 + x6 =L= 400;
e3.. - x4 + x5 + x7 =L= 300;
e4.. - x5 + x8 =L= 100;
e5.. x1 - x1*x6 + 833.333333333333*x4 =L= 83333.3333333333;
e6.. x2*x4 - x2*x7 - 1250*x4 + 1250*x5 =L= 0;
e7.. x3*x5 - x3*x8 - 2500*x5 =L= -1250000;
* set non default bounds
x1.lo = 100; x1.up = 10000;
x2.lo = 1000; x2.up = 10000;
x3.lo = 1000; x3.up = 10000;
x4.lo = 10; x4.up = 1000;
x5.lo = 10; x5.up = 1000;
x6.lo = 10; x6.up = 1000;
x7.lo = 10; x7.up = 1000;
x8.lo = 10; x8.up = 1000;
* 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;