tloss.gms:
References:
- GAMS Development, GAMS Model Library.
- GAMS Development, Reformulation of Models from Handbook of Test Problems in Local and Global Optimization.
- Harjunkoski, I, Westerlund, T, Porn, R, and Skrifvars, H, Different Transformations for Solving Non-Convex Trim Loss Problems by MINLP. European Journal of Operational Research 105, 3 (1998), 594-603.
- Original source: AMPL model trimlon.mod from MacMINLP
Point:
p1
Best known point (p1): Solution value 16.30 (global optimum, BARON certificate)
<![CDATA[
$offlisting
* MINLP written by GAMS Convert at 04/17/01 16:41:43
*
* Equation counts
* Total E G L N X
* 54 1 13 40 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 49 1 6 42 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 303 231 72 0
*
* Solve m using MINLP minimizing objvar;
Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17,i18,i19
,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34,i35,i36
,b37,b38,b39,b40,b41,b42,i43,i44,i45,i46,i47,i48,objvar;
Binary Variables b37,b38,b39,b40,b41,b42;
Integer Variables i1,i2,i3,i4,i5,i6,i7,i8,i9,i10,i11,i12,i13,i14,i15,i16,i17
,i18,i19,i20,i21,i22,i23,i24,i25,i26,i27,i28,i29,i30,i31,i32,i33,i34
,i35,i36,i43,i44,i45,i46,i47,i48;
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,e30,e31,e32,e33,e34,e35,e36
,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
,e54;
e1.. - 0.1*b37 - 0.2*b38 - 0.3*b39 - 0.4*b40 - 0.5*b41 - 0.6*b42 - i43 - i44
- i45 - i46 - i47 - i48 + objvar =E= 0;
e2.. i43*i1 + i44*i2 + i45*i3 + i46*i4 + i47*i5 + i48*i6 =G= 8;
e3.. i43*i7 + i44*i8 + i45*i9 + i46*i10 + i47*i11 + i48*i12 =G= 16;
e4.. i43*i13 + i44*i14 + i45*i15 + i46*i16 + i47*i17 + i48*i18 =G= 12;
e5.. i43*i19 + i44*i20 + i45*i21 + i46*i22 + i47*i23 + i48*i24 =G= 7;
e6.. i43*i25 + i44*i26 + i45*i27 + i46*i28 + i47*i29 + i48*i30 =G= 14;
e7.. i43*i31 + i44*i32 + i45*i33 + i46*i34 + i47*i35 + i48*i36 =G= 16;
e8.. 330*i1 + 360*i7 + 380*i13 + 430*i19 + 490*i25 + 530*i31 - 2100*b37
=G= 0;
e9.. 330*i2 + 360*i8 + 380*i14 + 430*i20 + 490*i26 + 530*i32 - 2100*b38
=G= 0;
e10.. 330*i3 + 360*i9 + 380*i15 + 430*i21 + 490*i27 + 530*i33 - 2100*b39
=G= 0;
e11.. 330*i4 + 360*i10 + 380*i16 + 430*i22 + 490*i28 + 530*i34 - 2100*b40
=G= 0;
e12.. 330*i5 + 360*i11 + 380*i17 + 430*i23 + 490*i29 + 530*i35 - 2100*b41
=G= 0;
e13.. 330*i6 + 360*i12 + 380*i18 + 430*i24 + 490*i30 + 530*i36 - 2100*b42
=G= 0;
e14.. 330*i1 + 360*i7 + 380*i13 + 430*i19 + 490*i25 + 530*i31 - 2200*b37
=L= 0;
e15.. 330*i2 + 360*i8 + 380*i14 + 430*i20 + 490*i26 + 530*i32 - 2200*b38
=L= 0;
e16.. 330*i3 + 360*i9 + 380*i15 + 430*i21 + 490*i27 + 530*i33 - 2200*b39
=L= 0;
e17.. 330*i4 + 360*i10 + 380*i16 + 430*i22 + 490*i28 + 530*i34 - 2200*b40
=L= 0;
e18.. 330*i5 + 360*i11 + 380*i17 + 430*i23 + 490*i29 + 530*i35 - 2200*b41
=L= 0;
e19.. 330*i6 + 360*i12 + 380*i18 + 430*i24 + 490*i30 + 530*i36 - 2200*b42
=L= 0;
e20.. - i1 - i7 - i13 - i19 - i25 - i31 + b37 =L= 0;
e21.. - i2 - i8 - i14 - i20 - i26 - i32 + b38 =L= 0;
e22.. - i3 - i9 - i15 - i21 - i27 - i33 + b39 =L= 0;
e23.. - i4 - i10 - i16 - i22 - i28 - i34 + b40 =L= 0;
e24.. - i5 - i11 - i17 - i23 - i29 - i35 + b41 =L= 0;
e25.. - i6 - i12 - i18 - i24 - i30 - i36 + b42 =L= 0;
e26.. i1 + i7 + i13 + i19 + i25 + i31 - 5*b37 =L= 0;
e27.. i2 + i8 + i14 + i20 + i26 + i32 - 5*b38 =L= 0;
e28.. i3 + i9 + i15 + i21 + i27 + i33 - 5*b39 =L= 0;
e29.. i4 + i10 + i16 + i22 + i28 + i34 - 5*b40 =L= 0;
e30.. i5 + i11 + i17 + i23 + i29 + i35 - 5*b41 =L= 0;
e31.. i6 + i12 + i18 + i24 + i30 + i36 - 5*b42 =L= 0;
e32.. b37 - i43 =L= 0;
e33.. b38 - i44 =L= 0;
e34.. b39 - i45 =L= 0;
e35.. b40 - i46 =L= 0;
e36.. b41 - i47 =L= 0;
e37.. b42 - i48 =L= 0;
e38.. - 15*b37 + i43 =L= 0;
e39.. - 12*b38 + i44 =L= 0;
e40.. - 8*b39 + i45 =L= 0;
e41.. - 7*b40 + i46 =L= 0;
e42.. - 4*b41 + i47 =L= 0;
e43.. - 2*b42 + i48 =L= 0;
e44.. i43 + i44 + i45 + i46 + i47 + i48 =G= 16;
e45.. - b37 + b38 =L= 0;
e46.. - b38 + b39 =L= 0;
e47.. - b39 + b40 =L= 0;
e48.. - b40 + b41 =L= 0;
e49.. - b41 + b42 =L= 0;
e50.. - i43 + i44 =L= 0;
e51.. - i44 + i45 =L= 0;
e52.. - i45 + i46 =L= 0;
e53.. - i46 + i47 =L= 0;
e54.. - i47 + i48 =L= 0;
* set non default bounds
i1.up = 5;
i2.up = 5;
i3.up = 5;
i4.up = 5;
i5.up = 5;
i6.up = 5;
i7.up = 5;
i8.up = 5;
i9.up = 5;
i10.up = 5;
i11.up = 5;
i12.up = 5;
i13.up = 5;
i14.up = 5;
i15.up = 5;
i16.up = 5;
i17.up = 5;
i18.up = 5;
i19.up = 5;
i20.up = 5;
i21.up = 5;
i22.up = 5;
i23.up = 5;
i24.up = 5;
i25.up = 5;
i26.up = 5;
i27.up = 5;
i28.up = 5;
i29.up = 5;
i30.up = 5;
i31.up = 5;
i32.up = 5;
i33.up = 5;
i34.up = 5;
i35.up = 5;
i36.up = 5;
i43.up = 15;
i44.up = 12;
i45.up = 8;
i46.up = 7;
i47.up = 4;
i48.up = 2;
$if set nostart $goto modeldef
* set non default levels
* set non default marginals
$label modeldef
Model m / all /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;
]]></plaintext></body></div>