fuel.gms:
References:
- GAMS Development, GAMS Model Library.
- Wood, A J, and Wollenberg, B F, Example Problem 4e. In Power Generation, Operation and Control. John Wiley and Sons, 1984, pp. 85-88.
- Original source: GAMS model feedtray.gms from Gams Model Library
Point:
p1
Best known point (p1): Solution value 8566.12 (global optimum, BARON certificate)
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$offlisting
* MINLP written by GAMS Convert at 04/18/01 12:07:24
*
* Equation counts
* Total E G L N X
* 16 7 6 3 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 16 13 3 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 39 33 6 0
*
* Solve m using MINLP minimizing objvar;
Variables b1,b2,b3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,objvar;
Positive Variables x10,x11,x12,x13,x14;
Binary Variables b1,b2,b3;
Equations e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16;
e1.. - (0.0025*sqr(x7) + 6*x7 + 0.0025*sqr(x8) + 6*x8 + 0.0025*sqr(x9) + 6*x9)
+ objvar =E= 900;
e2.. - 100*b1 + x4 =G= 0;
e3.. - 100*b2 + x5 =G= 0;
e4.. - 100*b3 + x6 =G= 0;
e5.. - 500*b1 + x4 =L= 0;
e6.. - 500*b2 + x5 =L= 0;
e7.. - 500*b3 + x6 =L= 0;
e8.. x10 + x13 =E= 3500;
e9.. x11 - x13 + x14 =E= 500;
e10.. x12 - x14 + x15 =E= 500;
e11.. x4 + x7 =G= 400;
e12.. x5 + x8 =G= 900;
e13.. x6 + x9 =G= 700;
e14.. - (0.005*sqr(x4) + x4) - 50*b1 + x10 =E= 0;
e15.. - (0.005*sqr(x5) + x5) - 50*b2 + x11 =E= 0;
e16.. - (0.005*sqr(x6) + x6) - 50*b3 + x12 =E= 0;
* set non default bounds
x7.lo = 50; x7.up = 700;
x8.lo = 50; x8.up = 700;
x9.lo = 50; x9.up = 700;
x13.up = 4000;
x14.up = 4000;
x15.lo = 2000; x15.up = 4000;
$if set nostart $goto modeldef
* set non default levels
x4.l = 100;
x5.l = 100;
x6.l = 100;
* 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;
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