bearing.gms:
References:
- Siddall, J N, Optimal Engineering Design: Principles and Applications. Marcel Dekker, New York, 1982.
- Deb, K, and Goyal, M, Optimizing Engineering Designs Using a Combined Genetic Search. In Back, T, Ed, Proceedings of the Seventh International Conference on Genetic Algorithms. 1997, pp. 521-528.
- Coello Coello, C A, Treating Constraints as Objectives for Single-Objective Evolutionary Optimization. Engineering Optimization 32 (2000), 275-308.
- Original source: GAMS Model of bearing.gms from GAMS Model Library
Point:
p1
Best known point: p1 with value 1.9517
<![CDATA[
* NLP written by GAMS Convert at 07/25/01 14:27:44
*
* Equation counts
* Total E G L N X
* 13 10 1 2 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 14 14 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 41 13 28 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,objvar,x6,x7,x8,x9,x10,x11,x12,x13,x14;
Negative Variables x10;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13;
e1.. 10000*objvar - 10000*x7 - 10000*x8 =E= 0;
e2.. - 1.42857142857143*x4*x6 + 10000*x8 =E= 0;
e3.. 10*x7*x9 - 0.00968946189201592*x3*(x1**4 - x2**4) =E= 0;
e4.. 143.3076*x10*x4 - 10000*x7 =E= 0;
e5.. 3.1415927*x6*(0.001*x9)**3 - 6e-6*x3*x4*x13 =E= 0;
e6.. 101000*x12*x13 - 1.57079635*x6*x14 =E= 0;
e7.. log10(0.8 + 8.112*x3) - 10964781961.4318*x11**(-3.55) =E= 0;
e8.. - 0.5*x10 + x11 =E= 560;
e9.. x1 - x2 =G= 0;
e10.. 0.0307*sqr(x4) - 0.3864*sqr(0.0062831854*x1*x9)*x6 =L= 0;
e11.. 101000*x12 - 15707.9635*x14 =L= 0;
e12.. - (log(x1) - log(x2)) + x13 =E= 0;
e13.. - (sqr(x1) - sqr(x2)) + x14 =E= 0;
* set non default bounds
x1.lo = 1; x1.up = 16;
x2.lo = 1; x2.up = 16;
x3.lo = 1; x3.up = 16;
x4.lo = 1; x4.up = 16;
x6.lo = 1; x6.up = 1000;
x7.lo = 0.0001;
x8.lo = 0.0001;
x9.lo = 1;
x10.up = 50;
x11.lo = 100;
x12.lo = 1;
x13.lo = 0.0001;
x14.lo = 0.01;
* set non default levels
x1.l = 6;
x2.l = 5;
x3.l = 6;
x4.l = 3;
x6.l = 1000;
x7.l = 1.6;
x8.l = 0.3;
x10.l = 50;
x11.l = 600;
* 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;
]]></plaintext></body></div>