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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)

\$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;