launch.gms:
Reference:
- Bracken, J, and McCormick, G P, Chapter 7. In Selected Applications of Nonlinear Programming. John Wiley and Sons, New York, 1968, pp. 58-82.
- Original source: GAMS Model of launch.gms from GAMS Model Library
Point:
<![CDATA[
* NLP written by GAMS Convert at 07/30/01 09:51:56
*
* Equation counts
* Total E G L N X
* 29 23 0 6 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 39 39 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 108 56 52 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,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,x37,x38,objvar;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29;
e1.. - x1 + 0.5*x4 =E= 0;
e2.. - x2 + 0.6*x5 =E= 0;
e3.. - x3 + 0.7*x6 =E= 0;
e4.. - x4 - x5 - x6 - x7 - x8 - x9 - x10 + x11 =E= 20;
e5.. - x5 - x6 - x8 - x9 - x10 + x12 =E= 20;
e6.. - x6 - x9 - x10 + x13 =E= 20;
e7.. x17 - 5*x20 =E= 0;
e8.. x18 - 5*x21 =E= 0;
e9.. x19 - x22 =E= 0;
e10.. x26*x11 - x17 =E= 0;
e11.. x27*x12 - x18 =E= 0;
e12.. x28*x13 - x19 =E= 0;
e13.. (1 - x23)*x11 - x7 =E= 0;
e14.. (1 - x24)*x12 - x8 =E= 0;
e15.. (1 - x25)*x13 - x9 =E= 0;
e16.. 12*x4 - x7 =L= 0;
e17.. 10*x5 - x8 =L= 0;
e18.. 7*x6 - x9 =L= 0;
e19.. - 16*x4 + x7 =L= 0;
e20.. - 12*x5 + x8 =L= 0;
e21.. - 9*x6 + x9 =L= 0;
e22.. x32*x7 - x17*x29 =E= 0;
e23.. x33*x8 - x18*x30 =E= 0;
e24.. x34*x9 - x19*x31 =E= 0;
e25.. - 31.8*x32*log(1/x23) + x35 =E= 0;
e26.. - 31.8*x33*log(1/x24) + x36 =E= 0;
e27.. - 31.8*x34*log(1/x25) + x37 =E= 0;
e28.. - x35 - x36 - x37 + x38 =E= 0;
e29.. - (5272.77*(x1**1.2781*x4**(-0.1959)*x23**2.4242*x17**0.38745*x7**(-
0.9904) + x2**1.2781*x5**(-0.1959)*x24**2.4242*x18**0.38745*x8**(-0.9904)
+ x3**1.2781*x6**(-0.1959)*x25**2.4242*x19**0.38745*x9**(-0.9904)) +
0.185214*(10.3027592771433*x1**0.3322*x23**(-1.5935)*x7**0.2362*x14**
0.1079 + 10.3027592771433*x2**0.3322*x24**(-1.5935)*x8**0.2362*x15**
0.1079 + 7.94328234724281*x3**0.3322*x25**(-1.5935)*x9**0.2362*x16**
0.1079) + 160.99*(0.001*x20)**(-0.146) + 282.874*(0.001*x20)**0.648 +
160.99*(0.001*x21)**(-0.146) + 282.874*(0.001*x21)**0.648 + 181.806*(
0.001*x22)**0.539 + 232.57*(0.001*x22)**0.772 + 38.0226256753606*(2.509*(
0.001*x20)**0.736 + 0.0002085*x20 + 0.9744*(0.001*x20)**(-0.229)) +
38.0226256753606*(2.509*(0.001*x21)**0.736 + 0.0002085*x21 + 0.9744*(
0.001*x21)**(-0.229)) + 8.51138038202377*(7.05e-5*x22 -
0.000845197400305967*(0.001*x22)**(-1.33) + 52.5264761174087*(0.001*x22)
**0.498) + 0.1637577*(1000*x10)**0.786 + 0.125678613298076*(1000*x10)**
0.786 + 85*(0.003*x7 + 0.003*x8 + 0.003*x9)**0.46) + objvar =E= -850.76;
* set non default bounds
x1.lo = 1;
x2.lo = 1;
x3.lo = 1;
x4.lo = 5;
x5.lo = 5;
x6.lo = 5;
x7.lo = 50;
x8.lo = 50;
x9.lo = 50;
x10.lo = 2.5; x10.up = 4;
x14.lo = 125; x14.up = 150;
x15.lo = 75; x15.up = 100;
x16.lo = 50; x16.up = 70;
x17.lo = 1;
x18.lo = 1;
x19.lo = 1;
x20.lo = 20;
x21.lo = 20;
x22.lo = 20;
x23.lo = 0.25; x23.up = 0.3;
x24.lo = 0.24; x24.up = 0.29;
x25.lo = 0.16; x25.up = 0.21;
x26.lo = 1.2; x26.up = 1.4;
x27.lo = 0.6; x27.up = 0.75;
x28.lo = 0.7; x28.up = 0.9;
x29.lo = 100;
x30.lo = 100;
x31.lo = 100;
x32.lo = 240; x32.up = 290;
x33.lo = 240; x33.up = 290;
x34.lo = 340; x34.up = 375;
x35.lo = 1000;
x36.lo = 1000;
x37.lo = 1000;
x38.lo = 35000; x38.up = 50000;
* set non default levels
x4.l = 136;
x5.l = 47;
x6.l = 16;
x7.l = 2176;
x8.l = 564;
x9.l = 144;
x20.l = 746;
x21.l = 96;
x22.l = 129;
x23.l = 0.3;
x24.l = 0.29;
x25.l = 0.21;
x29.l = 155;
x30.l = 314;
x31.l = 403;
x38.l = 38632;
* 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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